CaltechAUTHORS
  A Caltech Library Service

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. http://resolver.caltech.edu/CaltechAUTHORS:20170810-114020714

[img] PDF - Submitted Version
See Usage Policy.

606Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20170810-114020714

Abstract

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
https://doi.org/10.1109/PSCC.2014.7038399DOIArticle
https://arxiv.org/abs/1406.3054arXivDiscussion Paper
ORCID:
AuthorORCID
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
Funders:
Funding AgencyGrant Number
NSFCNS-0911041
ARPA-EDE-AR0000226
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
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170810-114020714
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: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7038399&isnumber=7038098
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80127
Collection:CaltechAUTHORS
Deposited By: Pengcheng You
Deposited On:10 Aug 2017 20:10
Last Modified:09 Jul 2019 14:47

Repository Staff Only: item control page