diff --git a/docs/source/examples/notebooks/getting_started/tutorial-6-managing-simulation-outputs.ipynb b/docs/source/examples/notebooks/getting_started/tutorial-6-managing-simulation-outputs.ipynb index 969ab58784..0ffaf21f17 100644 --- a/docs/source/examples/notebooks/getting_started/tutorial-6-managing-simulation-outputs.ipynb +++ b/docs/source/examples/notebooks/getting_started/tutorial-6-managing-simulation-outputs.ipynb @@ -247,510 +247,7 @@ " 'r_n [m]': SpatialVariable(0x710d0fceaf05982f, r_n, children=[], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", " 'r_p [m]': SpatialVariable(-0x31da3148bf451204, r_p, children=[], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", " 'Current variable [A]': FunctionParameter(0x1052b7976317ea39, Current function [A], children=['time'], domains={}),\n", - " 'Total current density [A.m-2]': Division(-0x2cb90c1974e38ea4, /, children=['Current function [A]', 'Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'Current [A]': FunctionParameter(0x1052b7976317ea39, Current function [A], children=['time'], domains={}),\n", - " 'C-rate': Division(0x44e591bf8f781bc5, /, children=['Current function [A]', 'Nominal cell capacity [A.h]'], domains={}),\n", - " 'Discharge capacity [A.h]': Variable(0x214e9c4992a19095, Discharge capacity [A.h], children=[], domains={}),\n", - " 'Throughput capacity [A.h]': Variable(0x4902eb9f0e5fcdc, Throughput capacity [A.h], children=[], domains={}),\n", - " 'Discharge energy [W.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Throughput energy [W.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Porosity': Concatenation(-0x62f70972be83a80, concatenation, children=['Negative electrode porosity', 'Separator porosity', 'Positive electrode porosity'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode porosity': FunctionParameter(0x73e9d78550e344c6, Negative electrode porosity, children=['x_n'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode porosity': XAverage(0x388fa93dff0554ea, x-average, children=['Negative electrode porosity'], domains={'primary': ['current collector']}),\n", - " 'Separator porosity': FunctionParameter(0x57318a1f001f116e, Separator porosity, children=['x_s'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator porosity': XAverage(-0x19573761746aa16, x-average, children=['Separator porosity'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode porosity': FunctionParameter(0x276b371dd1e8dfc9, Positive electrode porosity, children=['x_p'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode porosity': XAverage(0x632d7aa5868b7581, x-average, children=['Positive electrode porosity'], domains={'primary': ['current collector']}),\n", - " 'Porosity change': FullBroadcast(-0x24da761009ef5979, broadcast, children=['0.0'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode porosity change [s-1]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode porosity change [s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Separator porosity change [s-1]': FullBroadcast(0x7674e3e990d0fe5c, broadcast, children=['0.0'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator porosity change [s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode porosity change [s-1]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode porosity change [s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode interface utilisation variable': FullBroadcast(-0x4d675172e6db045, broadcast, children=['1.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode interface utilisation variable': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode interface utilisation': FullBroadcast(-0x4d675172e6db045, broadcast, children=['1.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode interface utilisation': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode interface utilisation variable': FullBroadcast(0x66ef0321cb35af1, broadcast, children=['1.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode interface utilisation variable': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode interface utilisation': FullBroadcast(0x66ef0321cb35af1, broadcast, children=['1.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode interface utilisation': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Negative particle crack length [m]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle crack length [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative particle cracking rate [m.s-1]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle cracking rate [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive particle crack length [m]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle crack length [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive particle cracking rate [m.s-1]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle cracking rate [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode active material volume fraction': FunctionParameter(-0x2454b2f38f09f060, Negative electrode active material volume fraction, children=['x_n'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode active material volume fraction': XAverage(0x5b76073a465f4de9, x-average, children=['Negative electrode active material volume fraction'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode capacity [A.h]': Multiplication(0x669ca3c78f3fdc38, *, children=['0.0002777777777777778', 'yz-average(x-average(Negative electrode active material volume fraction)) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in negative electrode [mol.m-3] * Faraday constant [C.mol-1]'], domains={}),\n", - " 'Negative particle radius': Division(-0x101ad32da86bc809, /, children=['Negative particle radius [m]', 'Negative particle radius [m]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative particle radius [m]': FunctionParameter(0x69e50a0701901e92, Negative particle radius [m], children=['x_n'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle radius [m]': XAverage(-0x5998c466e4b3b0d1, x-average, children=['Negative particle radius [m]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode surface area to volume ratio [m-1]': Division(0x35e52969b98a1f4c, /, children=['3.0 * Negative electrode active material volume fraction', 'Negative particle radius [m]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode surface area to volume ratio [m-1]': XAverage(0x7e079d5c3bb8c074, x-average, children=['3.0 * Negative electrode active material volume fraction / Negative particle radius [m]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode active material volume fraction change [s-1]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode active material volume fraction change [s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Loss of lithium due to loss of active material in negative electrode [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode active material volume fraction': FunctionParameter(-0x7111d76c01a10ecd, Positive electrode active material volume fraction, children=['x_p'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode active material volume fraction': XAverage(-0x4f1fec82552a51d0, x-average, children=['Positive electrode active material volume fraction'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode capacity [A.h]': Multiplication(0x32c1c48c83a86108, *, children=['0.0002777777777777778', 'yz-average(x-average(Positive electrode active material volume fraction)) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in positive electrode [mol.m-3] * Faraday constant [C.mol-1]'], domains={}),\n", - " 'Positive particle radius': Division(0x5c197b709356b182, /, children=['Positive particle radius [m]', 'Positive particle radius [m]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive particle radius [m]': FunctionParameter(0x2cd2c04bc094b31b, Positive particle radius [m], children=['x_p'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle radius [m]': XAverage(-0x764264480bf1761d, x-average, children=['Positive particle radius [m]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode surface area to volume ratio [m-1]': Division(0x5713b84da378b442, /, children=['3.0 * Positive electrode active material volume fraction', 'Positive particle radius [m]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode surface area to volume ratio [m-1]': XAverage(-0x745811c066b14b46, x-average, children=['3.0 * Positive electrode active material volume fraction / Positive particle radius [m]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode active material volume fraction change [s-1]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode active material volume fraction change [s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Loss of lithium due to loss of active material in positive electrode [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Separator pressure [Pa]': PrimaryBroadcast(-0x2283acf47e5c8401, broadcast, children=['broadcast(0.0)'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator pressure [Pa]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'negative electrode transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(0x6bab0bd9ea7821df, broadcast, children=['broadcast(0.0)'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'separator transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x2283acf47e5c8401, broadcast, children=['broadcast(0.0)'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'positive electrode transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x4c0574204a66d2eb, broadcast, children=['broadcast(0.0)'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Transverse volume-averaged velocity [m.s-1]': PrimaryBroadcast(-0x18d0dc5c164643f9, broadcast, children=['broadcast(0.0)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'negative electrode transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(0x6bab0bd9ea7821df, broadcast, children=['broadcast(0.0)'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'separator transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x2283acf47e5c8401, broadcast, children=['broadcast(0.0)'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'positive electrode transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x4c0574204a66d2eb, broadcast, children=['broadcast(0.0)'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Transverse volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x18d0dc5c164643f9, broadcast, children=['broadcast(0.0)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode volume-averaged velocity [m.s-1]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode volume-averaged acceleration [m.s-2]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode pressure [Pa]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode pressure [Pa]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode volume-averaged velocity [m.s-1]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode volume-averaged acceleration [m.s-2]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode pressure [Pa]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode pressure [Pa]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative particle concentration [mol.m-3]': SecondaryBroadcast(-0x1a2038ed2db90218, broadcast, children=['X-averaged negative particle concentration [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged negative particle concentration [mol.m-3]': Variable(-0xc6e9f039a349e5d, X-averaged negative particle concentration [mol.m-3], children=[], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged negative particle concentration [mol.m-3]': PrimaryBroadcast(0x282ca1da63d2070f, broadcast, children=['r-average(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Average negative particle concentration [mol.m-3]': RAverage(0x2e708c99191dbd42, r-average, children=['X-averaged negative particle concentration [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Negative particle surface concentration [mol.m-3]': PrimaryBroadcast(0x498f174d367382fa, broadcast, children=['boundary value(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle surface concentration [mol.m-3]': BoundaryValue(-0x33053ef02fe008a2, boundary value, children=['X-averaged negative particle concentration [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum negative particle concentration [mol.m-3]': Min(-0x44d6bb19996299d2, function (min), children=['broadcast(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum negative particle concentration [mol.m-3]': Max(0x4827c72aabfe0905, function (max), children=['broadcast(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum negative particle Minimum negative particle surface concentration [mol.m-3]': Min(0x4e04ae73d4750efa, function (min), children=['broadcast(boundary value(X-averaged negative particle concentration [mol.m-3]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum negative particle surface concentration [mol.m-3]': Max(0x109280d64de32c64, function (max), children=['broadcast(boundary value(X-averaged negative particle concentration [mol.m-3]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative particle concentration': SecondaryBroadcast(-0x123421b9cb79ffee, broadcast, children=['X-averaged negative particle concentration [mol.m-3] / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged negative particle concentration': Division(-0x6f56560a4789f5b7, /, children=['X-averaged negative particle concentration [mol.m-3]', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged negative particle concentration': PrimaryBroadcast(-0x169f3b6453d87718, broadcast, children=['r-average(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Average negative particle concentration': Division(0x3d97a92d32162e18, /, children=['r-average(X-averaged negative particle concentration [mol.m-3])', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Negative particle surface concentration': PrimaryBroadcast(-0x4329904ba71ee4c3, broadcast, children=['boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle surface concentration': Division(-0x1a6dce64ac5c7c40, /, children=['boundary value(X-averaged negative particle concentration [mol.m-3])', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum negative particle concentration': Division(-0x794ccf0081258486, /, children=['min(broadcast(X-averaged negative particle concentration [mol.m-3]))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum negative particle concentration': Division(0x4d18733c1499c893, /, children=['max(broadcast(X-averaged negative particle concentration [mol.m-3]))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum negative particle surface concentration': Division(0x16c6e92c29e8de2b, /, children=['min(broadcast(boundary value(X-averaged negative particle concentration [mol.m-3])))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum negative particle surface concentration': Division(-0x4c2990a72a440dcd, /, children=['max(broadcast(boundary value(X-averaged negative particle concentration [mol.m-3])))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative particle stoichiometry': SecondaryBroadcast(-0x123421b9cb79ffee, broadcast, children=['X-averaged negative particle concentration [mol.m-3] / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged negative particle stoichiometry': Division(-0x6f56560a4789f5b7, /, children=['X-averaged negative particle concentration [mol.m-3]', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged negative particle stoichiometry': PrimaryBroadcast(-0x169f3b6453d87718, broadcast, children=['r-average(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Average negative particle stoichiometry': Division(0x3d97a92d32162e18, /, children=['r-average(X-averaged negative particle concentration [mol.m-3])', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Negative particle surface stoichiometry': PrimaryBroadcast(-0x4329904ba71ee4c3, broadcast, children=['boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative particle surface stoichiometry': Division(-0x1a6dce64ac5c7c40, /, children=['boundary value(X-averaged negative particle concentration [mol.m-3])', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum negative particle stoichiometry': Division(-0x794ccf0081258486, /, children=['min(broadcast(X-averaged negative particle concentration [mol.m-3]))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum negative particle stoichiometry': Division(0x4d18733c1499c893, /, children=['max(broadcast(X-averaged negative particle concentration [mol.m-3]))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum negative particle surface stoichiometry': Division(0x16c6e92c29e8de2b, /, children=['min(broadcast(boundary value(X-averaged negative particle concentration [mol.m-3])))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum negative particle surface stoichiometry': Division(-0x4c2990a72a440dcd, /, children=['max(broadcast(boundary value(X-averaged negative particle concentration [mol.m-3])))', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode extent of lithiation': PrimaryBroadcast(-0x169f3b6453d87718, broadcast, children=['r-average(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode extent of lithiation': Division(0x3d97a92d32162e18, /, children=['r-average(X-averaged negative particle concentration [mol.m-3])', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive particle concentration [mol.m-3]': SecondaryBroadcast(0x6f1b9f5aff37a8d4, broadcast, children=['X-averaged positive particle concentration [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged positive particle concentration [mol.m-3]': Variable(-0x199b7524c5b2818c, X-averaged positive particle concentration [mol.m-3], children=[], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged positive particle concentration [mol.m-3]': PrimaryBroadcast(0x1c1e17eceffdb9f2, broadcast, children=['r-average(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Average positive particle concentration [mol.m-3]': RAverage(-0x109f13578644d05c, r-average, children=['X-averaged positive particle concentration [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive particle surface concentration [mol.m-3]': PrimaryBroadcast(0x5e85c57b5ba5f190, broadcast, children=['boundary value(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle surface concentration [mol.m-3]': BoundaryValue(0x7b748729b3deaf92, boundary value, children=['X-averaged positive particle concentration [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum positive particle concentration [mol.m-3]': Min(-0x106633228a5e06c4, function (min), children=['broadcast(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum positive particle concentration [mol.m-3]': Max(0x2b872f13870fb6c1, function (max), children=['broadcast(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum positive particle Minimum positive particle surface concentration [mol.m-3]': Min(-0x70931912cabcc19c, function (min), children=['broadcast(boundary value(X-averaged positive particle concentration [mol.m-3]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum positive particle surface concentration [mol.m-3]': Max(-0x380597a842574a1, function (max), children=['broadcast(boundary value(X-averaged positive particle concentration [mol.m-3]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive particle concentration': SecondaryBroadcast(0x10361fdde605a354, broadcast, children=['X-averaged positive particle concentration [mol.m-3] / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged positive particle concentration': Division(0x6135cee1d4e71de6, /, children=['X-averaged positive particle concentration [mol.m-3]', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged positive particle concentration': PrimaryBroadcast(-0x74b97f1b9f180969, broadcast, children=['r-average(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Average positive particle concentration': Division(0x41266f52812a3df, /, children=['r-average(X-averaged positive particle concentration [mol.m-3])', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive particle surface concentration': PrimaryBroadcast(-0x48fe87004dc0417e, broadcast, children=['boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle surface concentration': Division(0x14b7318283b0b84a, /, children=['boundary value(X-averaged positive particle concentration [mol.m-3])', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum positive particle concentration': Division(0x25b11a729f3b8045, /, children=['min(broadcast(X-averaged positive particle concentration [mol.m-3]))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum positive particle concentration': Division(0x153d02c5f85c0079, /, children=['max(broadcast(X-averaged positive particle concentration [mol.m-3]))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum positive particle surface concentration': Division(-0x76ffcf8a0b508bf0, /, children=['min(broadcast(boundary value(X-averaged positive particle concentration [mol.m-3])))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum positive particle surface concentration': Division(0x711575ba853111a4, /, children=['max(broadcast(boundary value(X-averaged positive particle concentration [mol.m-3])))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive particle stoichiometry': SecondaryBroadcast(0x10361fdde605a354, broadcast, children=['X-averaged positive particle concentration [mol.m-3] / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged positive particle stoichiometry': Division(0x6135cee1d4e71de6, /, children=['X-averaged positive particle concentration [mol.m-3]', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'R-averaged positive particle stoichiometry': PrimaryBroadcast(-0x74b97f1b9f180969, broadcast, children=['r-average(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Average positive particle stoichiometry': Division(0x41266f52812a3df, /, children=['r-average(X-averaged positive particle concentration [mol.m-3])', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive particle surface stoichiometry': PrimaryBroadcast(-0x48fe87004dc0417e, broadcast, children=['boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive particle surface stoichiometry': Division(0x14b7318283b0b84a, /, children=['boundary value(X-averaged positive particle concentration [mol.m-3])', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Minimum positive particle stoichiometry': Division(0x25b11a729f3b8045, /, children=['min(broadcast(X-averaged positive particle concentration [mol.m-3]))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Maximum positive particle stoichiometry': Division(0x153d02c5f85c0079, /, children=['max(broadcast(X-averaged positive particle concentration [mol.m-3]))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'Minimum positive particle surface stoichiometry': Division(-0x76ffcf8a0b508bf0, /, children=['min(broadcast(boundary value(X-averaged positive particle concentration [mol.m-3])))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Maximum positive particle surface stoichiometry': Division(0x711575ba853111a4, /, children=['max(broadcast(boundary value(X-averaged positive particle concentration [mol.m-3])))', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode extent of lithiation': PrimaryBroadcast(-0x74b97f1b9f180969, broadcast, children=['r-average(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode extent of lithiation': Division(0x41266f52812a3df, /, children=['r-average(X-averaged positive particle concentration [mol.m-3])', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Porosity times concentration [mol.m-3]': ConcatenationVariable(0x73f958882ae9767c, Porosity times concentration [mol.m-3], children=['Negative electrode porosity times concentration [mol.m-3]', 'Separator porosity times concentration [mol.m-3]', 'Positive electrode porosity times concentration [mol.m-3]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode porosity times concentration [mol.m-3]': Variable(0x12de976cbb802854, Negative electrode porosity times concentration [mol.m-3], children=[], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Separator porosity times concentration [mol.m-3]': Variable(0x3468f3a6ebf8bbe4, Separator porosity times concentration [mol.m-3], children=[], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'Positive electrode porosity times concentration [mol.m-3]': Variable(-0x65e6465df7dc0643, Positive electrode porosity times concentration [mol.m-3], children=[], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Total lithium in electrolyte [mol]': Multiplication(0x57d7f0b4d81f6453, *, children=['(Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', 'yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))'], domains={}),\n", - " 'Ambient temperature [K]': FunctionParameter(-0x111e9f6395785299, Ambient temperature [K], children=['y', 'z', 'time'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged ambient temperature [K]': ZAverage(0x24fd9934286a9905, z-average, children=['Ambient temperature [K]'], domains={}),\n", - " 'Cell temperature [K]': PrimaryBroadcast(-0x47d5294186edac1e, broadcast, children=['Ambient temperature [K]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative current collector temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'Positive current collector temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'X-averaged cell temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged cell temperature [K]': ZAverage(-0x79e877353694f8ad, z-average, children=['Ambient temperature [K]'], domains={}),\n", - " 'Negative electrode temperature [K]': PrimaryBroadcast(0x676f6b2a4fbc4baf, broadcast, children=['Ambient temperature [K]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'Separator temperature [K]': PrimaryBroadcast(-0x200e2121f0424b8, broadcast, children=['Ambient temperature [K]'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode temperature [K]': PrimaryBroadcast(0x72b4d0739add56e5, broadcast, children=['Ambient temperature [K]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode temperature [K]': FunctionParameter(-0x57369686b41b535e, Ambient temperature [K], children=['y', 'z', 'broadcast(time)'], domains={'primary': ['current collector']}),\n", - " 'Ambient temperature [C]': Addition(0x73ad57a572a74a55, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged ambient temperature [C]': Addition(-0x31ab70f5ed3e2ef7, +, children=['-273.15', 'z-average(Ambient temperature [K])'], domains={}),\n", - " 'Cell temperature [C]': PrimaryBroadcast(-0x417126a7efcd883f, broadcast, children=['-273.15 + Ambient temperature [K]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative current collector temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Positive current collector temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'X-averaged cell temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged cell temperature [C]': Addition(0x7364372ecf0590c8, +, children=['-273.15', 'z-average(Ambient temperature [K])'], domains={}),\n", - " 'Negative electrode temperature [C]': PrimaryBroadcast(-0x6d6e26aa1f0f5af9, broadcast, children=['-273.15 + Ambient temperature [K]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Separator temperature [C]': PrimaryBroadcast(-0x38a6fa3507e400d9, broadcast, children=['-273.15 + Ambient temperature [K]'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode temperature [C]': PrimaryBroadcast(-0x6228c160d3ee4fc3, broadcast, children=['-273.15 + Ambient temperature [K]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode temperature [C]': Addition(0x55c6a0a286dcebd0, +, children=['-273.15', 'Ambient temperature [K]'], domains={'primary': ['current collector']}),\n", - " 'Negative current collector potential [V]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative SEI concentration [mol.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative SEI concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative SEI concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to negative SEI [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to negative SEI [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode SEI interfacial current density [A.m-2]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode SEI interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive SEI concentration [mol.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive SEI concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive SEI concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to positive SEI [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to positive SEI [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode SEI interfacial current density [A.m-2]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode SEI interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative SEI on cracks concentration [mol.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative SEI on cracks concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative SEI on cracks concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to negative SEI on cracks [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to negative SEI on cracks [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode SEI on cracks interfacial current density [A.m-2]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode SEI on cracks interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive SEI on cracks concentration [mol.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive SEI on cracks concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive SEI on cracks concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to positive SEI on cracks [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to positive SEI on cracks [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode SEI on cracks interfacial current density [A.m-2]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode SEI on cracks interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative lithium plating concentration [mol.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative lithium plating concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative lithium plating concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative dead lithium concentration [mol.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative dead lithium concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative dead lithium concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative lithium plating thickness [m]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative lithium plating thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative lithium plating thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative dead lithium thickness [m]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative dead lithium thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative dead lithium thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to negative lithium plating [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to negative lithium plating [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode lithium plating interfacial current density [A.m-2]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode lithium plating interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode lithium plating reaction overpotential [V]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode lithium plating reaction overpotential [V]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive lithium plating concentration [mol.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive lithium plating concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive lithium plating concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive dead lithium concentration [mol.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive dead lithium concentration [mol.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive dead lithium concentration [mol.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive lithium plating thickness [m]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive lithium plating thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive lithium plating thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive dead lithium thickness [m]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive dead lithium thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive dead lithium thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of lithium to positive lithium plating [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Loss of capacity to positive lithium plating [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode lithium plating interfacial current density [A.m-2]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode lithium plating interfacial current density [A.m-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode lithium plating reaction overpotential [V]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode lithium plating reaction overpotential [V]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative crack surface to volume ratio [m-1]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode roughness ratio': FullBroadcast(-0x4d675172e6db045, broadcast, children=['1.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode roughness ratio': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Positive crack surface to volume ratio [m-1]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode roughness ratio': FullBroadcast(0x66ef0321cb35af1, broadcast, children=['1.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode roughness ratio': PrimaryBroadcast(0x32a506cbc3e70dfc, broadcast, children=['1.0'], domains={'primary': ['current collector']}),\n", - " 'Electrolyte transport efficiency': Concatenation(0x74288c18dd68f6c4, concatenation, children=['Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)', 'Separator porosity ** Separator Bruggeman coefficient (electrolyte)', 'Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrolyte transport efficiency': Power(-0x70e0912a0d861837, **, children=['Negative electrode porosity', 'Negative electrode Bruggeman coefficient (electrolyte)'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrolyte transport efficiency': XAverage(0x353d73475d220b42, x-average, children=['Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)'], domains={'primary': ['current collector']}),\n", - " 'Separator electrolyte transport efficiency': Power(0xaa17aeb410549bf, **, children=['Separator porosity', 'Separator Bruggeman coefficient (electrolyte)'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator electrolyte transport efficiency': XAverage(0x426811ea0c358ab8, x-average, children=['Separator porosity ** Separator Bruggeman coefficient (electrolyte)'], domains={'primary': ['current collector']}),\n", - " 'Positive electrolyte transport efficiency': Power(-0x58b09f191f808e54, **, children=['Positive electrode porosity', 'Positive electrode Bruggeman coefficient (electrolyte)'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrolyte transport efficiency': XAverage(0x2a83dee2b9c912d0, x-average, children=['Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)'], domains={'primary': ['current collector']}),\n", - " 'Electrode transport efficiency': Concatenation(0x155fbba875cf13a4, concatenation, children=['(1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)', 'broadcast(0.0)', '(1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode transport efficiency': Power(-0x5ef56624385ec7ea, **, children=['1.0 - Negative electrode porosity', 'Negative electrode Bruggeman coefficient (electrode)'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode transport efficiency': XAverage(0xdd78dd7ccc90072, x-average, children=['(1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)'], domains={'primary': ['current collector']}),\n", - " 'Separator electrode transport efficiency': FullBroadcast(0x7674e3e990d0fe5c, broadcast, children=['0.0'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator electrode transport efficiency': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode transport efficiency': Power(-0x6fa05ec1821badc2, **, children=['1.0 - Positive electrode porosity', 'Positive electrode Bruggeman coefficient (electrode)'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode transport efficiency': XAverage(-0x26012772b7f17a13, x-average, children=['(1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)'], domains={'primary': ['current collector']}),\n", - " 'Separator volume-averaged velocity [m.s-1]': FullBroadcast(0x7674e3e990d0fe5c, broadcast, children=['0.0'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'Separator volume-averaged acceleration [m.s-2]': FullBroadcast(0x7674e3e990d0fe5c, broadcast, children=['0.0'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator volume-averaged acceleration [m.s-2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged velocity [m.s-1]': FullBroadcast(-0x24da761009ef5979, broadcast, children=['0.0'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Volume-averaged acceleration [m.s-1]': FullBroadcast(-0x24da761009ef5979, broadcast, children=['0.0'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged volume-averaged acceleration [m.s-1]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Pressure [Pa]': Concatenation(-0x6bd7953572f3e580, concatenation, children=['broadcast(0.0)', 'broadcast(broadcast(0.0))', 'broadcast(0.0)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode stoichiometry': Division(-0x13f5fe54976d740d, /, children=['x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction)', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode volume-averaged concentration': Division(-0x13f5fe54976d740d, /, children=['x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction)', 'Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode volume-averaged concentration [mol.m-3]': Division(0x6e6d63e37432853b, /, children=['x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))', 'x-average(Negative electrode active material volume fraction)'], domains={'primary': ['current collector']}),\n", - " 'Total lithium in primary phase in negative electrode [mol]': Multiplication(0x4464e90b6f31aa76, *, children=['yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m]', 'Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'Positive electrode stoichiometry': Division(0xe0e82d885e56b8, /, children=['x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction)', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode volume-averaged concentration': Division(0xe0e82d885e56b8, /, children=['x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction)', 'Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode volume-averaged concentration [mol.m-3]': Division(0x7d9ae2c2eaa15879, /, children=['x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))', 'x-average(Positive electrode active material volume fraction)'], domains={'primary': ['current collector']}),\n", - " 'Total lithium in primary phase in positive electrode [mol]': Multiplication(-0x768accf56efe60ec, *, children=['yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m]', 'Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'Electrolyte concentration concatenation [mol.m-3]': Concatenation(0x26080a00ee2207ea, concatenation, children=['Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity', 'Separator porosity times concentration [mol.m-3] / Separator porosity', 'Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrolyte concentration [mol.m-3]': Division(-0x158e30208413030c, /, children=['Negative electrode porosity times concentration [mol.m-3]', 'Negative electrode porosity'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrolyte concentration [mol.m-3]': XAverage(-0x3e1cbd553b275eea, x-average, children=['Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity'], domains={'primary': ['current collector']}),\n", - " 'Separator electrolyte concentration [mol.m-3]': Division(-0x5c8ee8a9f93f3d3f, /, children=['Separator porosity times concentration [mol.m-3]', 'Separator porosity'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator electrolyte concentration [mol.m-3]': XAverage(-0x424f4ff28ad05253, x-average, children=['Separator porosity times concentration [mol.m-3] / Separator porosity'], domains={'primary': ['current collector']}),\n", - " 'Positive electrolyte concentration [mol.m-3]': Division(0x4934a41aaf68edd8, /, children=['Positive electrode porosity times concentration [mol.m-3]', 'Positive electrode porosity'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrolyte concentration [mol.m-3]': XAverage(0x797446a4dba822db, x-average, children=['Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity'], domains={'primary': ['current collector']}),\n", - " 'Negative electrolyte concentration [Molar]': Multiplication(-0x654523ed97406c50, *, children=['0.001', 'Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrolyte concentration [Molar]': Multiplication(0x1676d051ba830fe8, *, children=['0.001', 'x-average(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity)'], domains={'primary': ['current collector']}),\n", - " 'Separator electrolyte concentration [Molar]': Multiplication(-0x3e1479b0bc3fa9af, *, children=['0.001', 'Separator porosity times concentration [mol.m-3] / Separator porosity'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator electrolyte concentration [Molar]': Multiplication(0x8dea62478b19b35, *, children=['0.001', 'x-average(Separator porosity times concentration [mol.m-3] / Separator porosity)'], domains={'primary': ['current collector']}),\n", - " 'Positive electrolyte concentration [Molar]': Multiplication(-0x576771987a070ca, *, children=['0.001', 'Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrolyte concentration [Molar]': Multiplication(0x33cd2e93c8253c53, *, children=['0.001', 'x-average(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity)'], domains={'primary': ['current collector']}),\n", - " 'Electrolyte concentration [mol.m-3]': Division(0x2d7eea0729d7cc44, /, children=['Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])', 'concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged electrolyte concentration [mol.m-3]': XAverage(-0x3c2c7533dd2a5fc, x-average, children=['Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity)'], domains={'primary': ['current collector']}),\n", - " 'Electrolyte concentration [Molar]': Multiplication(0x6472313bc881b52a, *, children=['0.001', 'Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity)'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged electrolyte concentration [Molar]': Multiplication(-0x294aef02d79c497c, *, children=['0.001', 'x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))'], domains={'primary': ['current collector']}),\n", - " 'Ohmic heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'X-averaged Ohmic heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Volume-averaged Ohmic heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Ohmic heating per unit electrode-pair area [W.m-2]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Ohmic heating [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Irreversible electrochemical heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'X-averaged irreversible electrochemical heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Volume-averaged irreversible electrochemical heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Irreversible electrochemical heating per unit electrode-pair area [W.m-2]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Irreversible electrochemical heating [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Reversible heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'X-averaged reversible heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Volume-averaged reversible heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Reversible heating per unit electrode-pair area [W.m-2]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Reversible heating [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Total heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'X-averaged total heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Volume-averaged total heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Total heating per unit electrode-pair area [W.m-2]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Total heating [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative current collector Ohmic heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive current collector Ohmic heating [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Surface total cooling [W.m-3]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Surface total cooling [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Surface temperature [K]': FunctionParameter(-0x111e9f6395785299, Ambient temperature [K], children=['y', 'z', 'time'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged surface temperature [K]': ZAverage(0x24fd9934286a9905, z-average, children=['Ambient temperature [K]'], domains={}),\n", - " 'Environment total cooling [W]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Current collector current density [A.m-2]': PrimaryBroadcast(0x4e96073bf7314826, broadcast, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode SEI volumetric interfacial current density [A.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode SEI volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'X-averaged negative electrode resistance [Ohm.m2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative SEI thickness [m]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative SEI thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative SEI thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode SEI volumetric interfacial current density [A.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode SEI volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'X-averaged positive electrode resistance [Ohm.m2]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive SEI thickness [m]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive SEI thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive SEI thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode SEI on cracks volumetric interfacial current density [A.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode SEI on cracks volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative SEI on cracks thickness [m]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative SEI on cracks thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged negative SEI on cracks thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode SEI on cracks volumetric interfacial current density [A.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode SEI on cracks volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive SEI on cracks thickness [m]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive SEI on cracks thickness [m]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Volume-averaged positive SEI on cracks thickness [m]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode lithium plating volumetric interfacial current density [A.m-3]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode lithium plating volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode lithium plating volumetric interfacial current density [A.m-3]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode lithium plating volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x3b86a82da50bee4, broadcast, children=['0.0'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode equilibrium open-circuit potential [V]': Addition(0xfac9a0300395f8e, +, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged negative electrode equilibrium open-circuit potential [V]': Addition(0xfac9a0300395f8e, +, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode open-circuit potential [V]': PrimaryBroadcast(0x306379d224302540, broadcast, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode open-circuit potential [V]': Addition(0xfac9a0300395f8e, +, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode bulk open-circuit potential [V]': Addition(0x121affa30144a580, +, children=['Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Negative particle concentration overpotential [V]': Subtraction(0x60cb1f68c06955e2, -, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode entropic change [V.K-1]': FunctionParameter(-0x7f356d58a387334e, Negative electrode OCP entropic change [V.K-1], children=['boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'X-averaged negative electrode entropic change [V.K-1]': FunctionParameter(-0x7f356d58a387334e, Negative electrode OCP entropic change [V.K-1], children=['boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode equilibrium open-circuit potential [V]': Addition(-0x36350785b9939d5, +, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged positive electrode equilibrium open-circuit potential [V]': Addition(-0x36350785b9939d5, +, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode open-circuit potential [V]': PrimaryBroadcast(-0x920276764fe0c, broadcast, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode open-circuit potential [V]': Addition(-0x36350785b9939d5, +, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode bulk open-circuit potential [V]': Addition(0x1544b6f44068d693, +, children=['Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1]', '1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Positive particle concentration overpotential [V]': Subtraction(-0x563d98bb139701da, -, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode entropic change [V.K-1]': FunctionParameter(0x2e9fb15d866dfd48, Positive electrode OCP entropic change [V.K-1], children=['boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'X-averaged positive electrode entropic change [V.K-1]': FunctionParameter(0x2e9fb15d866dfd48, Positive electrode OCP entropic change [V.K-1], children=['boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3]'], domains={'primary': ['current collector']}),\n", - " 'X-averaged negative electrode total interfacial current density [A.m-2]': PrimaryBroadcast(-0x73b256ba647c7466, broadcast, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode total volumetric interfacial current density [A.m-3]': PrimaryBroadcast(0xab1f0f403851da5, broadcast, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode SEI film overpotential [V]': FullBroadcast(0x41adb77479a5a43c, broadcast, children=['0.0'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode SEI film overpotential [V]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Negative electrode exchange current density [A.m-2]': FunctionParameter(0x4329927d6af013f3, Negative electrode exchange-current density [A.m-2], children=['maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity, 1e-08)', 'broadcast(maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]), 0.99999999 * Maximum concentration in negative electrode [mol.m-3]), 1e-08 * Maximum concentration in negative electrode [mol.m-3]))', 'Maximum concentration in negative electrode [mol.m-3]', 'broadcast(Ambient temperature [K])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode exchange current density [A.m-2]': XAverage(-0x592f55da6a1f431a, x-average, children=['Negative electrode exchange-current density [A.m-2]'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode reaction overpotential [V]': Multiplication(0x3ca1f8b282f603a0, *, children=['broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1])', 'arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode reaction overpotential [V]': XAverage(0x68429705d9d38720, x-average, children=['broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged negative electrode surface potential difference [V]': Subtraction(-0x5e9319747187b721, -, children=['x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m]))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode interfacial current density [A.m-2]': PrimaryBroadcast(-0x73b256ba647c7466, broadcast, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode interfacial current density [A.m-2]': Division(-0x4d495a481767a8d, /, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m]', 'x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode volumetric interfacial current density [A.m-3]': Multiplication(-0x139603086c5ad1f9, *, children=['3.0 * Negative electrode active material volume fraction / Negative particle radius [m]', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode volumetric interfacial current density [A.m-3]': XAverage(-0x4d3d07b2ffea9b1d, x-average, children=['(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) * broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged positive electrode total interfacial current density [A.m-2]': PrimaryBroadcast(0x3037e2f198bcfbe5, broadcast, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode total volumetric interfacial current density [A.m-3]': PrimaryBroadcast(-0x2937cb53618f2de5, broadcast, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode SEI film overpotential [V]': FullBroadcast(-0x459210c8ee1020fd, broadcast, children=['0.0'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode SEI film overpotential [V]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Positive electrode exchange current density [A.m-2]': FunctionParameter(-0x281c9b55fb79e01c, Positive electrode exchange-current density [A.m-2], children=['maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity, 1e-08)', 'broadcast(maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]), 0.99999999 * Maximum concentration in positive electrode [mol.m-3]), 1e-08 * Maximum concentration in positive electrode [mol.m-3]))', 'Maximum concentration in positive electrode [mol.m-3]', 'broadcast(Ambient temperature [K])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode exchange current density [A.m-2]': XAverage(0x48dfa0ec189ce0c2, x-average, children=['Positive electrode exchange-current density [A.m-2]'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode reaction overpotential [V]': Multiplication(-0x1ae043c4b0bff777, *, children=['broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1])', 'arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode reaction overpotential [V]': XAverage(0x551802f3bd49988c, x-average, children=['broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged positive electrode surface potential difference [V]': Subtraction(-0x726fb4d4c894735b, -, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode interfacial current density [A.m-2]': PrimaryBroadcast(0x3037e2f198bcfbe5, broadcast, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode interfacial current density [A.m-2]': Division(-0x3702417d2841296, /, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m]', 'x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode volumetric interfacial current density [A.m-3]': Multiplication(-0x6fed6787c56d8798, *, children=['3.0 * Positive electrode active material volume fraction / Positive particle radius [m]', 'broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode volumetric interfacial current density [A.m-3]': XAverage(0x4d978686979bda61, x-average, children=['(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) * broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'Negative particle rhs [mol.m-3.s-1]': Divergence(0x2ce7dcdd9693f517, div, children=['Negative particle diffusivity [m2.s-1] * grad(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'Negative particle bc [mol.m-4]': Division(0x635a793d979d3a61, /, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) / Faraday constant [C.mol-1]', 'boundary value(Negative particle diffusivity [m2.s-1])'], domains={'primary': ['current collector']}),\n", - " 'Negative particle effective diffusivity [m2.s-1]': SecondaryBroadcast(-0x7b648fe13949d444, broadcast, children=['Negative particle diffusivity [m2.s-1]'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged negative particle effective diffusivity [m2.s-1]': FunctionParameter(0x4e90ee8894eb11da, Negative particle diffusivity [m2.s-1], children=['maximum(minimum(X-averaged negative particle concentration [mol.m-3] / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)', 'broadcast(Ambient temperature [K])'], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'Volume-averaged negative particle effective diffusivity [m2.s-1]': RAverage(0x2697c00610110056, r-average, children=['Negative particle diffusivity [m2.s-1]'], domains={'primary': ['current collector']}),\n", - " 'Negative particle flux [mol.m-2.s-1]': SecondaryBroadcast(0x6619b270ba0d9924, broadcast, children=['-Negative particle diffusivity [m2.s-1] * grad(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative particle'], 'secondary': ['negative electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged negative particle flux [mol.m-2.s-1]': Multiplication(-0x437a39f42c2e347d, *, children=['-Negative particle diffusivity [m2.s-1]', 'grad(X-averaged negative particle concentration [mol.m-3])'], domains={'primary': ['negative particle'], 'secondary': ['current collector']}),\n", - " 'Positive particle rhs [mol.m-3.s-1]': Divergence(-0xcee5010b198a81e, div, children=['Positive particle diffusivity [m2.s-1] * grad(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'Positive particle bc [mol.m-4]': Division(0x4535e717ba5c233, /, children=['--Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) / Faraday constant [C.mol-1]', 'boundary value(Positive particle diffusivity [m2.s-1])'], domains={'primary': ['current collector']}),\n", - " 'Positive particle effective diffusivity [m2.s-1]': SecondaryBroadcast(-0x17276593ed1b3649, broadcast, children=['Positive particle diffusivity [m2.s-1]'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged positive particle effective diffusivity [m2.s-1]': FunctionParameter(0x5877e0b2fdd4837a, Positive particle diffusivity [m2.s-1], children=['maximum(minimum(X-averaged positive particle concentration [mol.m-3] / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)', 'broadcast(Ambient temperature [K])'], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'Volume-averaged positive particle effective diffusivity [m2.s-1]': RAverage(-0x309549de97c9dfaa, r-average, children=['Positive particle diffusivity [m2.s-1]'], domains={'primary': ['current collector']}),\n", - " 'Positive particle flux [mol.m-2.s-1]': SecondaryBroadcast(0x10b302cedfba5e8c, broadcast, children=['-Positive particle diffusivity [m2.s-1] * grad(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive particle'], 'secondary': ['positive electrode'], 'tertiary': ['current collector']}),\n", - " 'X-averaged positive particle flux [mol.m-2.s-1]': Multiplication(0x5d8b7e204672d98f, *, children=['-Positive particle diffusivity [m2.s-1]', 'grad(X-averaged positive particle concentration [mol.m-3])'], domains={'primary': ['positive particle'], 'secondary': ['current collector']}),\n", - " 'Negative electrode potential [V]': Multiplication(0xbba8a694ff652bb, *, children=['broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode))))', 'x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode potential [V]': XAverage(0x7c98139dc6a7d1ce, x-average, children=['broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode ohmic losses [V]': Subtraction(-0x59b0fb7c34e65bf, -, children=['broadcast(boundary value(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])))', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrode ohmic losses [V]': Subtraction(0x3e843a56898afabc, -, children=['boundary value(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m]))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m]))'], domains={'primary': ['current collector']}),\n", - " 'Gradient of negative electrode potential [V.m-1]': Gradient(-0x317d7967c1d7899, grad, children=['broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode current density [A.m-2]': Multiplication(0x5464b4a647cd924a, *, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)', '1.0 - (x_n / Negative electrode thickness [m])'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Electrolyte potential [V]': Concatenation(0x7a8e1236f9cc7090, concatenation, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))', 'broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s)', 'broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged electrolyte potential [V]': Division(-0xc9727efaf18d191, /, children=['Negative electrode thickness [m] * (x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))) + Separator thickness [m] * (x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s)) + Positive electrode thickness [m] * (x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))', 'Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]'], domains={'primary': ['current collector']}),\n", - " 'X-averaged electrolyte overpotential [V]': Subtraction(-0x2a2db17a811416d0, -, children=['x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['current collector']}),\n", - " 'Gradient of electrolyte potential [V.m-1]': Gradient(-0x7fad67709e8f52f5, grad, children=['concatenation(broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))), broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s), broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrolyte potential [V]': Subtraction(-0x306400ee80de7ee0, -, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m]))', 'broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged negative electrolyte potential [V]': Subtraction(-0x90748b8738a5dc6, -, children=['x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m]))', '(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))'], domains={'primary': ['current collector']}),\n", - " 'Gradient of negative electrolyte potential [V.m-1]': Gradient(-0x863bb3e4c3e79df, grad, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Separator electrolyte potential [V]': Subtraction(0x7dfa1b3b12f7cedd, -, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'X-averaged separator electrolyte potential [V]': Subtraction(0x7c4cefd554f5046d, -, children=['x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s)'], domains={'primary': ['current collector']}),\n", - " 'Gradient of separator electrolyte potential [V.m-1]': Gradient(0x7d4691027f28e9b0, grad, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Separator porosity times concentration [mol.m-3] / Separator porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) * x_s)'], domains={'primary': ['separator'], 'secondary': ['current collector']}),\n", - " 'Positive electrolyte potential [V]': Subtraction(-0x71e6c73823c9ff26, -, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m]))', 'broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrolyte potential [V]': Subtraction(-0x7bbea4c350040c20, -, children=['x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m]))', '(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))'], domains={'primary': ['current collector']}),\n", - " 'Gradient of positive electrolyte potential [V.m-1]': Gradient(0x19e90a1b408bae57, grad, children=['broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Electrolyte current density [A.m-2]': Concatenation(0x3322cfbcefb27e67, concatenation, children=['(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * x_n / Negative electrode thickness [m]', 'broadcast(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)))', '(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p) / Positive electrode thickness [m]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrolyte current density [A.m-2]': Division(0x673d7683667b833b, /, children=['(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * x_n', 'Negative electrode thickness [m]'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrolyte current density [A.m-2]': Division(-0x4470961c3c799968, /, children=['(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p)', 'Positive electrode thickness [m]'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged concentration overpotential [V]': Multiplication(0x38b5d701d6e20499, *, children=['(2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]', 'x-average(log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged electrolyte ohmic losses [V]': Multiplication(-0x23a4e73bce2fa604, *, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)', 'Negative electrode thickness [m] / (3.0 * Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte))) + Separator thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))) + Positive electrode thickness [m] / (3.0 * Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))'], domains={'primary': ['current collector']}),\n", - " 'Negative electrode surface potential difference [V]': Subtraction(-0x3361f40b6584e3c4, -, children=['broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])', 'broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Negative electrode surface potential difference at separator interface [V]': BoundaryValue(-0x733ab75dedeaba0f, boundary value, children=['(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) * ((x_n ** 2.0) - (Negative electrode thickness [m] ** 2.0)) / (2.0 * Negative electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))'], domains={'primary': ['current collector']}),\n", - " 'Sum of negative electrode electrolyte reaction source terms [A.m-3]': Multiplication(-0x139603086c5ad1f9, *, children=['3.0 * Negative electrode active material volume fraction / Negative particle radius [m]', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of x-averaged negative electrode electrolyte reaction source terms [A.m-3]': XAverage(-0x4d3d07b2ffea9b1d, x-average, children=['(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) * broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'Sum of negative electrode volumetric interfacial current densities [A.m-3]': Multiplication(-0x139603086c5ad1f9, *, children=['3.0 * Negative electrode active material volume fraction / Negative particle radius [m]', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['negative electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of x-averaged negative electrode volumetric interfacial current densities [A.m-3]': XAverage(-0x4d3d07b2ffea9b1d, x-average, children=['(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) * broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'Sum of positive electrode electrolyte reaction source terms [A.m-3]': Multiplication(-0x6fed6787c56d8798, *, children=['3.0 * Positive electrode active material volume fraction / Positive particle radius [m]', 'broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of x-averaged positive electrode electrolyte reaction source terms [A.m-3]': XAverage(0x4d978686979bda61, x-average, children=['(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) * broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'Sum of positive electrode volumetric interfacial current densities [A.m-3]': Multiplication(-0x6fed6787c56d8798, *, children=['3.0 * Positive electrode active material volume fraction / Positive particle radius [m]', 'broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of x-averaged positive electrode volumetric interfacial current densities [A.m-3]': XAverage(0x4d978686979bda61, x-average, children=['(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) * broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['current collector']}),\n", - " 'Interfacial current density [A.m-2]': Concatenation(0x319fa8f6fa98aa06, concatenation, children=['broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))', 'broadcast(0.0)', 'broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Exchange current density [A.m-2]': Concatenation(-0x4462423a8e0edbf8, concatenation, children=['Negative electrode exchange-current density [A.m-2]', 'broadcast(0.0)', 'Positive electrode exchange-current density [A.m-2]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of volumetric interfacial current densities [A.m-3]': Concatenation(0x1f1820308afb5327, concatenation, children=['(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) * broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))', 'broadcast(0.0)', '(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) * broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Sum of electrolyte reaction source terms [A.m-3]': Concatenation(0x1f1820308afb5327, concatenation, children=['(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]) * broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m]))', 'broadcast(0.0)', '(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]) * broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m]))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode potential [V]': Subtraction(0x7b02312b373a84bc, -, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])))', 'broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode potential [V]': Subtraction(0x555f2a9e452a000d, -, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))', 'x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['current collector']}),\n", - " 'Positive electrode ohmic losses [V]': Subtraction(0x1af9c956393e2312, -, children=['broadcast(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))))', 'broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'X-averaged positive electrode ohmic losses [V]': Subtraction(0x293e6ad065d670dd, -, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))', 'x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['current collector']}),\n", - " 'Gradient of positive electrode potential [V.m-1]': Gradient(-0xc38e95a19081372, grad, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode current density [A.m-2]': Multiplication(-0xfbac543100575b1, *, children=['Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)', '1.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p) / Positive electrode thickness [m])'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Electrode current density [A.m-2]': Concatenation(0x7d4389054cd8a75a, concatenation, children=['(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (1.0 - (x_n / Negative electrode thickness [m]))', 'broadcast(0.0)', '(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (1.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p) / Positive electrode thickness [m]))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive current collector potential [V]': BoundaryValue(0x19a59e897c78266, boundary value, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['current collector']}),\n", - " 'Local voltage [V]': BoundaryValue(0x19a59e897c78266, boundary value, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))'], domains={'primary': ['current collector']}),\n", - " 'Voltage expression [V]': BoundaryValue(-0x5eebd9fc602d3fc4, boundary value, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))'], domains={}),\n", - " 'Terminal voltage [V]': BoundaryValue(-0x5eebd9fc602d3fc4, boundary value, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))'], domains={}),\n", - " 'Contact overpotential [V]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'Voltage [V]': BoundaryValue(-0x5eebd9fc602d3fc4, boundary value, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))'], domains={}),\n", - " 'Electrolyte flux [mol.m-2.s-1]': Addition(-0xc463e83e136822f, +, children=['-concatenation(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte), Separator porosity ** Separator Bruggeman coefficient (electrolyte), Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)) * Electrolyte diffusivity [m2.s-1] * grad(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))', 'Cation transference number * concatenation((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * x_n / Negative electrode thickness [m], broadcast(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell))), (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p) / Positive electrode thickness [m]) / Faraday constant [C.mol-1]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Electrolyte diffusion flux [mol.m-2.s-1]': Multiplication(0x7801b35786e29bb4, *, children=['-concatenation(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte), Separator porosity ** Separator Bruggeman coefficient (electrolyte), Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)) * Electrolyte diffusivity [m2.s-1]', 'grad(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Electrolyte migration flux [mol.m-2.s-1]': Division(0x77f222cc82b60f1a, /, children=['Cation transference number * concatenation((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * x_n / Negative electrode thickness [m], broadcast(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell))), (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - x_p) / Positive electrode thickness [m])', 'Faraday constant [C.mol-1]'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Electrolyte convection flux [mol.m-2.s-1]': FullBroadcast(-0x24da761009ef5979, broadcast, children=['0.0'], domains={'primary': ['negative electrode', 'separator', 'positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode surface potential difference [V]': Subtraction(-0x4a75925075bca4f3, -, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))', 'broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))'], domains={'primary': ['positive electrode'], 'secondary': ['current collector']}),\n", - " 'Positive electrode surface potential difference at separator interface [V]': BoundaryValue(-0x337617d7c22295fe, boundary value, children=['broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))) - (broadcast(x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))))))) + broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - broadcast((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))'], domains={'primary': ['current collector']}),\n", - " 'Surface open-circuit voltage [V]': Subtraction(-0x222238cfae421d12, -, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Bulk open-circuit voltage [V]': Subtraction(0x77aaf162f4a6c505, -, children=['Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))'], domains={'primary': ['current collector']}),\n", - " 'Particle concentration overpotential [V]': Subtraction(0x673d4188e6b2fcf3, -, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) - (Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))))', 'Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))) - (Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged reaction overpotential [V]': Subtraction(0x7bfd9d56aa54976, -, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2])))', 'x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2])))'], domains={'primary': ['current collector']}),\n", - " 'X-averaged SEI film overpotential [V]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", - " 'X-averaged solid phase ohmic losses [V]': Subtraction(0x435aadc855f887f9, -, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))', 'boundary value(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m]))'], domains={'primary': ['current collector']}),\n", - " 'Battery open-circuit voltage [V]': Multiplication(-0x4e9fe44eefadd4aa, *, children=['Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) - (Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery negative electrode bulk open-circuit potential [V]': Multiplication(0x5792cfc62303d983, *, children=['Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery positive electrode bulk open-circuit potential [V]': Multiplication(-0x7bedd116f41a0cfb, *, children=['Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery particle concentration overpotential [V]': Multiplication(-0x28e0c12a8b4c35f6, *, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) - (Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)))) - (Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))) - (Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery negative particle concentration overpotential [V]': Multiplication(0x17c1560eda1ac56e, *, children=['Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))) - (Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery positive particle concentration overpotential [V]': Multiplication(0x612c1c5675bfe753, *, children=['Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) - (Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery reaction overpotential [V]': Multiplication(0x5637c79f3b68adcd, *, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) - x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2])))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery negative reaction overpotential [V]': Multiplication(-0x3ec8424fe460f431, *, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2])))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery positive reaction overpotential [V]': Multiplication(0x3cbc1563ad56c7de, *, children=['x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2])))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery solid phase ohmic losses [V]': Multiplication(0xbcb4775de9776c0, *, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))) - (boundary value(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery negative solid phase ohmic losses [V]': Multiplication(-0x44d4152ce1d6371a, *, children=['boundary value(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m]))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery positive solid phase ohmic losses [V]': Multiplication(-0x40dbc883c9e3e88f, *, children=['boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m])) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery electrolyte ohmic losses [V]': Multiplication(0x4ebbcddcfaa9a759, *, children=['-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) * (Negative electrode thickness [m] / (3.0 * Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte))) + Separator thickness [m] / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte))) + Positive electrode thickness [m] / (3.0 * Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'X-averaged battery concentration overpotential [V]': Multiplication(0x12dd9cdb3c80428d, *, children=['(2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * (x-average(log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))))', 'Number of cells connected in series to make a battery'], domains={'primary': ['current collector']}),\n", - " 'Battery voltage [V]': Multiplication(-0x240c7778392d6f7f, *, children=['boundary value(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))))', 'Number of cells connected in series to make a battery'], domains={}),\n", - " 'Local ECM resistance [Ohm]': Division(-0x6a86aa4e48c36aea, /, children=['sign(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Positive electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3]))) / x-average(Positive electrode active material volume fraction) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) - (Negative electrode OCP [V] + (yz-average(Ambient temperature [K]) - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3]))) / x-average(Negative electrode active material volume fraction) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - boundary value(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m]))))))', '((0.0 < Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) + Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) < 0.0) * Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) + (0.0 <= Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) <= 0.0)) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={'primary': ['current collector']}),\n", - " 'Terminal power [W]': Multiplication(-0x727851294d0eb896, *, children=['Current function [A]', 'boundary value(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))))'], domains={}),\n", - " 'Power [W]': Multiplication(-0x727851294d0eb896, *, children=['Current function [A]', 'boundary value(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))))'], domains={}),\n", - " 'Resistance [Ohm]': Division(-0x7e6b3ba15c65c64f, /, children=['sign(Current function [A]) * boundary value(boundary value(broadcast(x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(-Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Positive electrode thickness [m] / x-average(3.0 * Positive electrode active material volume fraction / Positive particle radius [m])) / (2.0 * Positive electrode exchange-current density [A.m-2]))) + Positive electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Positive electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged positive particle concentration [mol.m-3]) / Maximum concentration in positive electrode [mol.m-3], 0.9999999999), 1e-10))) + x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Negative electrode conductivity [S.m-1] * x-average((1.0 - Negative electrode porosity) ** Negative electrode Bruggeman coefficient (electrode)))) * x_n * (x_n - (2.0 * Negative electrode thickness [m])) / (2.0 * Negative electrode thickness [m])) - (x-average(broadcast(2.0 * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * arcsinh(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / Negative electrode thickness [m] / x-average(3.0 * Negative electrode active material volume fraction / Negative particle radius [m])) / (2.0 * Negative electrode exchange-current density [A.m-2]))) + Negative electrode OCP [V] + (Ambient temperature [K] - Reference temperature [K]) * Negative electrode OCP entropic change [V.K-1] + 1e-06 * (1.0 / (maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)) + 1.0 / (-1.0 + maximum(minimum(boundary value(X-averaged negative particle concentration [mol.m-3]) / Maximum concentration in negative electrode [mol.m-3], 0.9999999999), 1e-10)))) - ((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor * Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1] * x-average(log(maximum(Negative electrode porosity times concentration [mol.m-3] / Negative electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15)))) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * Negative electrode thickness [m] * ((0.3333333333333333 / (Electrolyte conductivity [S.m-1] * x-average(Negative electrode porosity ** Negative electrode Bruggeman coefficient (electrolyte)))) - (1.0 / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))))) + x-average(broadcast((2.0 - (2.0 * Cation transference number)) * Thermodynamic factor) * broadcast(Ideal gas constant [J.K-1.mol-1] * Ambient temperature [K] / Faraday constant [C.mol-1]) * log(maximum(Positive electrode porosity times concentration [mol.m-3] / Positive electrode porosity / broadcast(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3]) / concatenation(Negative electrode porosity, Separator porosity, Positive electrode porosity))), 1e-15))) - x-average(broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Electrolyte conductivity [S.m-1] * x-average(Positive electrode porosity ** Positive electrode Bruggeman coefficient (electrolyte)))) * (x_p * ((2.0 * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) - x_p) + Positive electrode thickness [m] ** 2.0 - ((Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) ** 2.0)) / (2.0 * Positive electrode thickness [m])) - ((Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)) * (Negative electrode thickness [m] + Separator thickness [m]) / (Electrolyte conductivity [S.m-1] * x-average(Separator porosity ** Separator Bruggeman coefficient (electrolyte)))) + (Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m] - (0.3333333333333333 * Positive electrode thickness [m]))) - (broadcast(Current function [A] / (Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (Positive electrode conductivity [S.m-1] * x-average((1.0 - Positive electrode porosity) ** Positive electrode Bruggeman coefficient (electrode)))) * (x_p + ((x_p - (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) ** 2.0) / (2.0 * Positive electrode thickness [m])))))', '(0.0 < Current function [A] + Current function [A] < 0.0) * Current function [A] + (0.0 <= Current function [A]) * (Current function [A] <= 0.0)'], domains={}),\n", - " 'Total lithium in negative electrode [mol]': Multiplication(0x4464e90b6f31aa76, *, children=['yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m]', 'Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'LAM_ne [%]': Subtraction(-0x23903672368de942, -, children=['100.0', '100.0 * 0.0002777777777777778 * yz-average(x-average(Negative electrode active material volume fraction)) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in negative electrode [mol.m-3] * Faraday constant [C.mol-1] / (0.0002777777777777778 * yz-average(x-average(Negative electrode active material volume fraction)) * Negative electrode thickness [m] * Maximum concentration in negative electrode [mol.m-3] * Faraday constant [C.mol-1] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Loss of active material in negative electrode [%]': Subtraction(-0x23903672368de942, -, children=['100.0', '100.0 * 0.0002777777777777778 * yz-average(x-average(Negative electrode active material volume fraction)) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in negative electrode [mol.m-3] * Faraday constant [C.mol-1] / (0.0002777777777777778 * yz-average(x-average(Negative electrode active material volume fraction)) * Negative electrode thickness [m] * Maximum concentration in negative electrode [mol.m-3] * Faraday constant [C.mol-1] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Total lithium in positive electrode [mol]': Multiplication(-0x768accf56efe60ec, *, children=['yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m]', 'Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'LAM_pe [%]': Subtraction(-0x323b442141c3300c, -, children=['100.0', '100.0 * 0.0002777777777777778 * yz-average(x-average(Positive electrode active material volume fraction)) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in positive electrode [mol.m-3] * Faraday constant [C.mol-1] / (0.0002777777777777778 * yz-average(x-average(Positive electrode active material volume fraction)) * Positive electrode thickness [m] * Maximum concentration in positive electrode [mol.m-3] * Faraday constant [C.mol-1] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Loss of active material in positive electrode [%]': Subtraction(-0x323b442141c3300c, -, children=['100.0', '100.0 * 0.0002777777777777778 * yz-average(x-average(Positive electrode active material volume fraction)) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * Maximum concentration in positive electrode [mol.m-3] * Faraday constant [C.mol-1] / (0.0002777777777777778 * yz-average(x-average(Positive electrode active material volume fraction)) * Positive electrode thickness [m] * Maximum concentration in positive electrode [mol.m-3] * Faraday constant [C.mol-1] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'LLI [%]': Subtraction(0x2a0fe6f03de00d45, -, children=['100.0', '100.0 * (yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (yz-average(x-average(Negative electrode active material volume fraction * r-average(Initial concentration in negative electrode [mol.m-3]))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * r-average(Initial concentration in positive electrode [mol.m-3]))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Loss of lithium inventory [%]': Subtraction(0x2a0fe6f03de00d45, -, children=['100.0', '100.0 * (yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) / (yz-average(x-average(Negative electrode active material volume fraction * r-average(Initial concentration in negative electrode [mol.m-3]))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * r-average(Initial concentration in positive electrode [mol.m-3]))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Loss of lithium inventory, including electrolyte [%]': Subtraction(-0x33820e3ccc1e1691, -, children=['100.0', '100.0 * (yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))) / (yz-average(x-average(Negative electrode active material volume fraction * r-average(Initial concentration in negative electrode [mol.m-3]))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * r-average(Initial concentration in positive electrode [mol.m-3]))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average((Negative electrode thickness [m] * x-average(Negative electrode porosity) + Separator thickness [m] * x-average(Separator porosity) + Positive electrode thickness [m] * x-average(Positive electrode porosity)) / (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) * Initial concentration in electrolyte [mol.m-3] * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell)'], domains={}),\n", - " 'Total lithium [mol]': Addition(0x760442a7bdc5d61d, +, children=['yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', '(Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))'], domains={}),\n", - " 'Total lithium in particles [mol]': Addition(0x7b6318520fec94ab, +, children=['yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', 'yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", - " 'Total lithium capacity [A.h]': Multiplication(0x749ec4e9e098c5d8, *, children=['0.0002777777777777778', '(yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))) * Faraday constant [C.mol-1]'], domains={}),\n", - " 'Total lithium capacity in particles [A.h]': Multiplication(-0x2872a166cd329b2f, *, children=['0.0002777777777777778', '(yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell) * Faraday constant [C.mol-1]'], domains={}),\n", - " 'Total lithium lost [mol]': Subtraction(-0x4c59f7d429aa5ca7, -, children=['yz-average(x-average(Negative electrode active material volume fraction * r-average(Initial concentration in negative electrode [mol.m-3]))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * r-average(Initial concentration in positive electrode [mol.m-3]))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average((Negative electrode thickness [m] * x-average(Negative electrode porosity) + Separator thickness [m] * x-average(Separator porosity) + Positive electrode thickness [m] * x-average(Positive electrode porosity)) / (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) * Initial concentration in electrolyte [mol.m-3] * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', 'yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))'], domains={}),\n", - " 'Total lithium lost from particles [mol]': Subtraction(-0x53abbf7d24fe529a, -, children=['yz-average(x-average(Negative electrode active material volume fraction * r-average(Initial concentration in negative electrode [mol.m-3]))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * r-average(Initial concentration in positive electrode [mol.m-3]))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', 'yz-average(x-average(Negative electrode active material volume fraction * broadcast(r-average(X-averaged negative particle concentration [mol.m-3])))) * Negative electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell + yz-average(x-average(Positive electrode active material volume fraction * broadcast(r-average(X-averaged positive particle concentration [mol.m-3])))) * Positive electrode thickness [m] * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell'], domains={}),\n", + " ...\n", " 'Total lithium lost from electrolyte [mol]': Subtraction(-0x63d0551e4b0d492a, -, children=['yz-average((Negative electrode thickness [m] * x-average(Negative electrode porosity) + Separator thickness [m] * x-average(Separator porosity) + Positive electrode thickness [m] * x-average(Positive electrode porosity)) / (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m])) * Initial concentration in electrolyte [mol.m-3] * (Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell', '(Negative electrode thickness [m] + Separator thickness [m] + Positive electrode thickness [m]) * Electrode width [m] * Electrode height [m] * Number of electrodes connected in parallel to make a cell * yz-average(x-average(Porosity times concentration [mol.m-3](Negative electrode porosity times concentration [mol.m-3], Separator porosity times concentration [mol.m-3], Positive electrode porosity times concentration [mol.m-3])))'], domains={}),\n", " 'Total lithium lost to side reactions [mol]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={}),\n", " 'Total capacity lost to side reactions [A.h]': Scalar(0x3f7c7ee27efc90ce, 0.0, children=[], domains={})}"