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Avtomat. i Telemekh., 2019, Issue 5, Pages 32–57 (Mi at15065)  

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

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.


DOI: https://doi.org/10.1134/S0005231019050027

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English version:
Automation and Remote Control, 2019, 80:5, 813–833

Bibliographic databases:

Document Type: Article
Presented by the member of Editorial Board: P. V. Pakshin

Received: 21.05.2018
Revised: 02.08.2018
Accepted: 08.11.2018

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

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