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arXiv · 1412.8054

Power Flow as an Algebraic System

Jakub Marecek·Timothy McCoy·Martin Mevissen
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Abstract

Steady states of alternating-current (AC) circuits have been studied in considerable detail. In 1982, Baillieul and Byrnes derived an upper bound on the number of steady states in a loss-less AC circuit [IEEE TCAS, 29(11): 724--737] and conjectured that this bound holds for AC circuits in general. We prove this is indeed the case, among other results, by studying a certain multi-homogeneous structure in an algebraisation.

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Jakub Marecek, Timothy McCoy, Martin Mevissen. 2016-11-15. Power Flow as an Algebraic System. https://arxiv.org/abs/1412.8054

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