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Chordal relaxation of OPF for multiphase radial networks

Gan, Lingwen and Low, Steven H. (2014) Chordal relaxation of OPF for multiphase radial networks. In: 2014 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE , Piscataway, NJ, 1812 -1815. ISBN 978-1-4799-3431-7.

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We formulate optimal power flow problem for unbalanced multiphase radial networks. We show that there is an equivalent single-phase mesh network that has a radial structure at the macro-level and a clique structure corresponding to each line in the radial network. Existing sufficient conditions for exact semidefinite relaxation are therefore applicable to unbalanced multiphase networks. In particular, they imply that if a semidefinite relaxation is exact over each of the cliques in the mesh equivalent network, then it is exact for the entire network.

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Low, Steven H.0000-0001-6476-3048
Additional Information:©2014 IEEE.
Record Number:CaltechAUTHORS:20150203-145330203
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Official Citation:Lingwen Gan; Low, S.H., "Chordal relaxation of OPF for multiphase radial networks," Circuits and Systems (ISCAS), 2014 IEEE International Symposium on , vol., no., pp.1812,1815, 1-5 June 2014 doi: 10.1109/ISCAS.2014.6865509
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54334
Deposited By: Ignis Nguyen
Deposited On:03 Feb 2015 23:37
Last Modified:10 Nov 2021 20:32

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