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

Amir Beck (), Yuval Beck (), Yoash Levron (), Alex Shtof () and Luba Tetruashvili ()
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Amir Beck: Tel Aviv University
Yuval Beck: Tel-Aviv University
Yoash Levron: Technion - Israel Institute of Technology
Alex Shtof: Technion - Israel Institute of Technology
Luba Tetruashvili: Technion - Israel Institute of Technology

Journal of Global Optimization, 2018, vol. 72, issue 3, No 1, 373-402

Abstract: 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.

Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-018-0652-z

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