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Optimal power flow in tree networks

Gan, Lingwen and Li, Na and Topcu, Ufuk and Low, Steven H. (2013) Optimal power flow in tree networks. In: 52nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 2313-2318. ISBN 978-1-4673-5714-2.

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The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss. It is becoming increasingly important for tree distribution networks due to the emerging distributed generation and controllable loads. The OPF problem is nonconvex. We prove that after modifying the OPF problem, its global optimum can be recovered via a second-order cone programming (SOCP) relaxation for tree networks, under a condition that can be checked in advance. Empirical studies justify that the modification is “small”, and that the condition holds, for the IEEE 13-bus network and two real-world networks.

Item Type:Book Section
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URLURL TypeDescription
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2013 IEEE. This work was supported by NSF NetSE grant CNS 0911041, ARPA-E grant DE-AR0000226, Southern California Edison, National Science Council of Taiwan, R.O.C, grant NSC 101-3113-P-008-001, Resnick Institute, Okawa Foundation, NSF CNS 1312390, DoE grant DE-EE000289, and AFOSR award number FA9550-12-1-0302.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Southern California EdisonUNSPECIFIED
National Science Council (Taipei)NSC 101-3113-P-008-001
Resnick Sustainability InstituteUNSPECIFIED
Okawa FoundationUNSPECIFIED
Department of Energy (DOE)DE-EE0002890
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0302
Subject Keywords:Silicon, Reactive power, Linear approximation, Capacitors, Distributed power generation, Upper bound, Generators
Record Number:CaltechAUTHORS:20170810-113418095
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Official Citation:L. Gan, N. Li, U. Topcu and S. H. Low, "Optimal power flow in tree networks," 52nd IEEE Conference on Decision and Control, Firenze, 2013, pp. 2313-2318. doi: 10.1109/CDC.2013.6760226 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80123
Deposited By: Pengcheng You
Deposited On:10 Aug 2017 20:12
Last Modified:15 Nov 2021 17:53

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