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Convex relaxations and linear approximation for optimal power flow in multiphase radial networks

Gan, Lingwen and Low, Steven H. (2014) Convex relaxations and linear approximation for optimal power flow in multiphase radial networks. In: 2014 Power Systems Computation Conference. IEEE , Piscataway, NJ, pp. 1-9. ISBN 978-83-935801-3-2.

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Distribution networks are usually multiphase and radial. To facilitate power flow computation and optimization, two semidefinite programming (SDP) relaxations of the optimal power flow problem and a linear approximation of the power flow are proposed. We prove that the first SDP relaxation is exact if and only if the second one is exact. Case studies show that the second SDP relaxation is numerically exact and that the linear approximation obtains voltages within 0.0016 per unit of their true values for the IEEE 13, 34, 37, 123-bus networks and a real-world 2065-bus network.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Paper
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2014 IEEE. Paper submitted to Power Systems Computation Conference, August 18-22, 2014, Wroclaw, Poland, organized by Power Systems Computation Conference and Wroclaw University of Technology. 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, and Caltech’s Resnick Institute.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Southern California EdisonUNSPECIFIED
National Science Council (Taipei)NSC 101-3113-P-008-001
Resnick Sustainability InstituteUNSPECIFIED
Subject Keywords:Silicon, Linear approximation, Standards, Programming, Numerical stability, Load flow, Computational modeling
Record Number:CaltechAUTHORS:20170810-114020714
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Official Citation:L. Gan and S. H. Low, "Convex relaxations and linear approximation for optimal power flow in multiphase radial networks," 2014 Power Systems Computation Conference, Wroclaw, 2014, pp. 1-9. doi: 10.1109/PSCC.2014.7038399 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80127
Deposited By: Pengcheng You
Deposited On:10 Aug 2017 20:10
Last Modified:15 Nov 2021 17:53

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