English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper proposes a method to embed the AC power flow problem with voltagemagnitude constraints in the complex plane. Modeling the action of networkcontrollers that regulate the magnitude of voltage phasors is a challengingtask in the complex plane as it has to preserve the framework of holomorphicityfor obtention of these complex variables with fixed magnitude. Hence this paperpresents a significant step in the development of the idea of HolomorphicEmbedding Load Flow Method (HELM), introduced in 2012, that exploits the theoryof analytic continuation, especially the monodromy theorem for resolving issuesthat have plagued conventional numerical methods for decades. This paper alsoillustrates the indispensable role of Pad\'e approximants for analyticcontinuation of complex functions, expressed as power series, beyond theboundary of convergence of the series. Later the paper demonstrates thesuperiority of the proposed method over the well-established Newton-Raphson aswell as the recently developed semidefinite and moment relaxation of power flowproblems.

Embedding AC Power Flow with Voltage Control in the Complex Plane : The Case of Analytic Continuation via Pad\'e Approximants