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2015

Fundamentals of the Holomorphic Embedding Load-Flow Method

Trias, Antonio

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The Holomorphic Embedding Load-Flow Method (HELM) was recently introduced as a novel technique to constructively solve the power-flow equations in power grids, based on advanced complex analysis.

In this paper, the theoretical foundations of the method are established in detail.
Starting from a fundamental projective invariance of the power-flow equations, it is shown how to devise holomorphicity-preserving embeddings that ultimately allow regarding the power-flow problem as essentially a study in algebraic curves.
Complementing this algebraic-geometric viewpoint, which lays the foundation of the method, it is shown how to apply standard analytic techniques (power series) for practical computation.

Fundamentals of the Holomorphic Embedding Load-Flow Method · Around

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