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Convex Relaxation of Optimal Power Flow - Part II: Exactness

Low, Steven H. (2014) Convex Relaxation of Optimal Power Flow - Part II: Exactness. IEEE Transactions on Control of Network Systems, 1 (2). pp. 177-189. ISSN 2325-5870. doi:10.1109/TCNS.2014.2323634.

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This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations in each model, and proves equivalence relations among them. Part II presents sufficient conditions under which the convex relaxations are exact.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2014 IEEE. Open Access. Manuscript received September 23, 2013; revised April 8, 2014. Date of publication May 14, 2014; date of current version June 16, 2014. This work was supported in part by NSF through NetSE CNS 0911041, in part by ARPA-E through GENI DE-AR0000226, Southern California Edison, in part by the National Science Council of Taiwan through NSC 103-3113-P-008-001, in part by the Los Alamos National Lab (DoE), and in part by Caltech's Resnick Institute. A preliminary and abridged version has appeared in Proc. IREP Symp. Bulk Power Syst. Dynam. Control-IX (IREP), Rethymnon, Greece, August 25–30, 2013.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Southern California EdisonUNSPECIFIED
National Science Council (Taipei)NSC 103-3113-P-008-001
Los Alamos National LaboratoryUNSPECIFIED
Resnick Sustainability InstituteUNSPECIFIED
Subject Keywords:Convex relaxation, optimal power flow, power systems, quadratically constrained quadratic program (QCQP), second-order cone program (SOCP), semidefinite program (SDP), semidefinite relaxation
Issue or Number:2
Record Number:CaltechAUTHORS:20150922-153930585
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Official Citation:Low, S.H., "Convex Relaxation of Optimal Power Flow—Part II: Exactness," in Control of Network Systems, IEEE Transactions on , vol.1, no.2, pp.177-189, June 2014 doi: 10.1109/TCNS.2014.2323634
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60423
Deposited By: George Porter
Deposited On:22 Sep 2015 23:02
Last Modified:10 Nov 2021 22:33

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