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Distributed Optimal Power Flow Algorithm for Radial Networks, I: Balanced Single Phase Case

Peng, Qiuyu and Low, Steven H. (2018) Distributed Optimal Power Flow Algorithm for Radial Networks, I: Balanced Single Phase Case. IEEE Transactions on Smart Grid, 9 (1). pp. 111-121. ISSN 1949-3053. doi:10.1109/TSG.2016.2546305.

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The optimal power flow (OPF) problem determines a network operating point that minimizes a certain objective such as generation cost or power loss. Traditionally, OPF is solved in a centralized manner. With increasing penetration of renewable energy in distribution system, we need faster and distributed solutions for real-time feedback control. This is difficult due to the nonlinearity of the power flow equations. In this paper, we propose a solution for balanced radial networks. It exploits recent results that suggest solving for a globally optimal solution of OPF over a radial network through the second-order cone program relaxation. Our distributed algorithm is based on alternating direction method of multiplier (ADMM), but unlike standard ADMM-based distributed OPF algorithms that require solving optimization subproblems using iterative method, our decomposition allows us to derive closed form solutions for these subproblems, greatly speeding up each ADMM iteration. We illustrate the scalability of the proposed algorithm by simulating it on a real-world 2065-bus distribution network.

Item Type:Article
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URLURL TypeDescription DOIArticle Paper
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2016 IEEE. Manuscript received September 28, 2015; revised January 12, 2016; accepted March 14, 2016. Date of publication March 24, 2016; date of current version December 21, 2017. This work was supported in part by the Advanced Research Projects Agency-Energy under Grant DE-AR0000226, in part by the Los Alamos National Laboratory under Department of Energy Grant DE-AC52-06NA25396, in part by the Defense Threat Reduction Agency under Grant HDTRA 1-15-1-0003, and in part by the Skotech under Grant 1075-MRA. A preliminary version of this paper has appeared in [1]. Paper no. TSG-01233-2015.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC52-06NA25396
Defense Threat Reduction Agency (DTRA)HDTRA 1-15-1-0003
Subject Keywords:Power distribution, distributed algorithms, nonlinear systems, power system control
Issue or Number:1
Record Number:CaltechAUTHORS:20160711-103700266
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Official Citation:Q. Peng and S. H. Low, "Distributed Optimal Power Flow Algorithm for Radial Networks, I: Balanced Single Phase Case," in IEEE Transactions on Smart Grid, vol. 9, no. 1, pp. 111-121, Jan. 2018. doi: 10.1109/TSG.2016.2546305. URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68953
Deposited By: Tony Diaz
Deposited On:25 Jul 2016 22:57
Last Modified:11 Nov 2021 04:07

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