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Avtomatika i Telemekhanika, 2019, Issue 5, Pages 32–57
DOI: https://doi.org/10.1134/S0005231019050027 (Mi at15065) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Nonlinear Systems

An overview of semidefinite relaxations for optimal power flow problem

I. A. Zorina, E. N. Gryazinaab

a Skolkovo Institute of Science and Technology, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (972 kB) Citations (11)
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DOI: https://doi.org/10.1134/S0005231019050027
Abstract: The AC optimal power flow (AC OPF) problem is considered and five convex relaxations for solving this problems the semidefinite, chordal, conic, and moment-based ones as well as the QC relaxations are overviewed. The specifics of the AC formulation and also the nonconvexity of the problem are described in detail. Each of the relaxations for OPF is written in explicit form. The semidefinite, chordal and conic relaxations are of major interest. They are implemented on a test example of four nodes.
Keywords: power systems, semidefinite programming, convex relaxations, power flows.
Funding agency Grant number
Russian Science Foundation 16-11-10015
This work was supported by the Russian Science Foundation, project no. 16-11-10015.
Presented by the member of Editorial Board: P. V. Pakshin

Received: 21.05.2018
Revised: 02.08.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 5, Pages 813–833
DOI: https://doi.org/10.1134/S0005117919050023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Zorin, E. N. Gryazina, “An overview of semidefinite relaxations for optimal power flow problem”, Avtomat. i Telemekh., 2019, no. 5, 32–57; Autom. Remote Control, 80:5 (2019), 813–833
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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