TY - JOUR
T1 - Globally solving a class of optimal power flow problems in radial networks by tree reduction
AU - Beck, Amir
AU - Beck, Yuval
AU - Levron, Yoash
AU - Shtof, Alex
AU - Tetruashvili, Luba
N1 - Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85045667170&partnerID=8YFLogxK
U2 - 10.1007/s10898-018-0652-z
DO - 10.1007/s10898-018-0652-z
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AN - SCOPUS:85045667170
SN - 0925-5001
VL - 72
SP - 373
EP - 402
JO - Journal of Global Optimization
JF - Journal of Global Optimization
IS - 3
ER -