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Exact convex relaxation for optimal power flow in distribution networks

Gan, Lingwen and Li, Na and Low, Steven H. and Topcu, Ufuk (2013) Exact convex relaxation for optimal power flow in distribution networks. ACM SIGMETRICS Performance Evaluation Review, 41 (1). pp. 351-352. ISSN 0163-5999. doi:10.1145/2494232.2465535. https://resolver.caltech.edu/CaltechAUTHORS:20161025-153928779

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Abstract

The optimal power flow (OPF) problem seeks to control the power generation/consumption to minimize the generation cost, and is becoming important for distribution networks. OPF is nonconvex and a second-order cone programming (SOCP) relaxation has been proposed to solve it. We prove that after a "small" modification to OPF, the SOCP relaxation is exact under a "mild" condition. Empirical studies demonstrate that the modification to OPF is "small" and that the "mild" condition holds for all test networks, including the IEEE 13-bus test network and practical networks with high penetration of distributed generation.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/2494232.2465535DOIArticle
http://dl.acm.org/citation.cfm?doid=2494232.2465535PublisherArticle
ORCID:
AuthorORCID
Low, Steven H.0000-0001-6476-3048
Additional Information:Copyright is held by the author/owner(s).
Issue or Number:1
DOI:10.1145/2494232.2465535
Record Number:CaltechAUTHORS:20161025-153928779
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161025-153928779
Official Citation:Lingwen Gan, Na Li, Steven Low, and Ufuk Topcu. 2013. Exact convex relaxation for optimal power flow in distribution networks. SIGMETRICS Perform. Eval. Rev. 41, 1 (June 2013), 351-352. DOI: http://dx.doi.org/10.1145/2494232.2465535
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71474
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:25 Oct 2016 22:58
Last Modified:11 Nov 2021 04:45

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