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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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    2. M. I. Danilov, I. G. Romanenko, “On the Determination of the Region Border Prior to the Limit Steady Modes of Electric Power Systems by the Analysis Method of the Tropical Geometry of the Power Balance Equations”, Autom Remote Control, 85:1 (2024), 68  crossref
    3. M. I. Danilov, I. G. Romanenko, “On the Determination of the Region Border Prior to the Limit Steady Modes of Electric Power Systems by the Analysis Method of the Tropical Geometry of the Power Balance Equations”, ARC, 85:1 (2024), 73  crossref
    4. M. I Danilov, I. G Romanenko, “On the Determination of the Region Border Prior to the Limit Steady Modes of Electric Power Systems by the Analysis Method of the Tropical Geometry of the Power Balance Equations”, Avtomatika i telemehanika, 2024, no. 1  crossref
    5. M. I. Danilov, I. G. Romanenko, T. F. Morozova, M. S. Demin, N. N. Kononova, “Comparative Analysis of the Extreme Accuracy in Calculations of Steady States of Power Systems with Modern Software Systems”, Power Technol Eng, 2024  crossref
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    7. H. Mataifa, S. Krishnamurthy, C. Kriger, “An Efficient Primal-Dual Interior-Point Algorithm for Volt/VAR Optimization in Rectangular Voltage Coordinates”, IEEE Access, 11 (2023), 36890  crossref
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    9. Md. Obaidur Rahman, Nahid-Al- Masood, 2022 12th International Conference on Electrical and Computer Engineering (ICECE), 2022, 124  crossref
    10. Ryan Greenough, Graham McClone, Melvin Lugo Alvarez, Adil Khurram, Jan Kleissl, 2022 IEEE Transportation Electrification Conference & Expo (ITEC), 2022, 166  crossref
    11. B. Liu, J. Li, H. Ma, Y. Liu, “Generalized benders decomposition based dynamic optimal power flow considering discrete and continuous decision variables”, IEEE Access, 8 (2020), 194260–194268  crossref  isi
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