Gan, Lingwen and Li, Na and Low, Steven H. and Topcu, Ufuk (2013) Exact Convex Relaxation for Optimal Power Flow in Distribution Networks. In: SIGMETRICS '13 Proceedings of the ACM SIGMETRICS/international conference on Measurement and modeling of computer systems. ACM , New York, NY, pp. 351-352. ISBN 978-1-4503-1900-3. https://resolver.caltech.edu/CaltechAUTHORS:20131008-160444682
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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: | Book Section | |||||||||
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| Additional Information: | Copyright is held by the author/owner(s). | |||||||||
| Subject Keywords: | optimal power flow, second-order cone programming, exact convex relaxation | |||||||||
| Classification Code: | J.2 [Physical Science and Engineering]: Engineering | |||||||||
| DOI: | 10.1145/2494232.2465535 | |||||||||
| Record Number: | CaltechAUTHORS:20131008-160444682 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131008-160444682 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 41766 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 08 Oct 2013 23:19 | |||||||||
| Last Modified: | 10 Nov 2021 04:34 |
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