Globally solving a class of optimal power flow problems in radial networks by tree reduction

Amir Beck*, Yuval Beck, Yoash Levron, Alex Shtof, Luba Tetruashvili

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We devise an algorithm for finding the global optimal solution of the so-called optimal power flow problem for a class of power networks with a tree topology, also called radial networks, for which an efficient and reliable algorithm was not previously known. The algorithm we present is called the tree reduction/expansion method, and is based on an equivalence between the input network and a single-node network. Finally, our numerical experiments demonstrate the reliability and robustness of our algorithm.

Original languageEnglish
Pages (from-to)373-402
Number of pages30
JournalJournal of Global Optimization
Volume72
Issue number3
DOIs
StatePublished - 1 Nov 2018

Funding

FundersFunder number
Israel Science Foundation1821/16

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