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2. "In the power system, complex voltage and current values are unknown, but rather real power injections at the generator buses and voltage magnitude setpoint as well as complex power (S) consumed by the load." This is not a complete sentence.
3. Consolidate using exp instead of Euler's constant
4. $\pi$ is an unfortunate choice for a model name, since it is also a frequently used number for radians. But maybe there is nothing to do about it if this is standard. You could use $\mathcal{\pi}$ maybe.
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