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- W4292079300 abstract "This paper explores solutions to linearized powerflow equations with bus-voltage phasors represented in rectangular coordinates. The key idea is to solve for complex-valued perturbations around a nominal voltage profile from a set of linear equations that are obtained by neglecting quadratic terms in the original nonlinear power-flow equations. We prove that for lossless networks, the voltage profile where the real part of the perturbation is suppressed satisfies active-power balance in the original nonlinear system of equations. This result motivates the development of approximate solutions that improve over conventional DC power-flow approximations, since the model includes ZIP loads. For distribution networks that only contain ZIP loads in addition to a slack bus, we recover a linear relationship between the approximate voltage profile and the constant-current component of the loads and the nodal active and reactive-power injections." @default.
- W4292079300 created "2022-08-17" @default.
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- W4292079300 date "2015-12-21" @default.
- W4292079300 modified "2023-09-29" @default.
- W4292079300 title "Linear Approximations to AC Power Flow in Rectangular Coordinates" @default.
- W4292079300 doi "https://doi.org/10.48550/arxiv.1512.06903" @default.
- W4292079300 hasPublicationYear "2015" @default.
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