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

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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:

URL	URL Type	Description
https://doi.org/10.1109/PSCC.2014.7038399	DOI	Article
https://arxiv.org/abs/1406.3054	arXiv	Discussion Paper

ORCID:

Author	ORCID
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 Agency	Grant Number
NSF	CNS-0911041
ARPA-E	DE-AR0000226
Southern California Edison	UNSPECIFIED
National Science Council (Taipei)	NSC 101-3113-P-008-001
Resnick Sustainability Institute	UNSPECIFIED

Subject Keywords:

Silicon, Linear approximation, Standards, Programming, Numerical stability, Load flow, Computational modeling

DOI:

10.1109/PSCC.2014.7038399

Record Number:

CaltechAUTHORS:20170810-114020714

Persistent URL:

https://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:

15 Nov 2021 17:53

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