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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
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.
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
Linking options:
https://www.mathnet.ru/eng/at15065 https://www.mathnet.ru/eng/at/y2019/i5/p32
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Abstract page: | 189 | Full-text PDF : | 37 | References: | 26 | First page: | 10 |
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