Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems

Optimal Power Flow (OPF) plays a fundamental role in the secure and efficient management of power systems, both in system design and real-time operation. Existing OPF approaches often struggle with the problem’s non-linearity, non-convexity, and mixed-variable characteristics, which hinder convergen...

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Main Authors: Ebrahim Akbari, Amin Khodabakhshian, Abolfazl Rahimnejad, Stephen Andrew Gadsden
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025025897
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author Ebrahim Akbari
Amin Khodabakhshian
Abolfazl Rahimnejad
Stephen Andrew Gadsden
author_facet Ebrahim Akbari
Amin Khodabakhshian
Abolfazl Rahimnejad
Stephen Andrew Gadsden
author_sort Ebrahim Akbari
collection DOAJ
description Optimal Power Flow (OPF) plays a fundamental role in the secure and efficient management of power systems, both in system design and real-time operation. Existing OPF approaches often struggle with the problem’s non-linearity, non-convexity, and mixed-variable characteristics, which hinder convergence and compromise solution diversity. This paper addresses these challenges by applying a multi-objective evolutionary algorithm based on decomposition (MOEA/D) enhanced with stable matching theory. The proposed method ensures a balanced and effective trade-off between solution accuracy and diversity in multi-objective optimization. Comparative evaluations against well-established algorithms demonstrate the superior performance of the proposed approach in approximating the Pareto front, improving computational efficiency, and maintaining solution diversity. The results highlight the effectiveness of the method in addressing OPF problems with conflicting objectives such as cost minimization, loss reduction, and voltage stability enhancement. This research provides a new perspective on applying stable matching mechanisms into evolutionary algorithms for power system optimization.
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institution Kabale University
issn 2590-1230
language English
publishDate 2025-09-01
publisher Elsevier
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series Results in Engineering
spelling doaj-art-8a8a11aad7484555b9633c648fb611b62025-08-20T04:02:09ZengElsevierResults in Engineering2590-12302025-09-012710652010.1016/j.rineng.2025.106520Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problemsEbrahim Akbari0Amin Khodabakhshian1Abolfazl Rahimnejad2Stephen Andrew Gadsden3Department of Economics, University of Bergamo, Via dei Caniana 2 24127, Bergamo, BG, Italy; Corresponding author.Department of Electrical Engineering, University of Isfahan, Isfahan, IranDepartment of Mechanical Engineering, McMaster University, Hamilton, ON L8S 4L8, CanadaDepartment of Mechanical Engineering, McMaster University, Hamilton, ON L8S 4L8, CanadaOptimal Power Flow (OPF) plays a fundamental role in the secure and efficient management of power systems, both in system design and real-time operation. Existing OPF approaches often struggle with the problem’s non-linearity, non-convexity, and mixed-variable characteristics, which hinder convergence and compromise solution diversity. This paper addresses these challenges by applying a multi-objective evolutionary algorithm based on decomposition (MOEA/D) enhanced with stable matching theory. The proposed method ensures a balanced and effective trade-off between solution accuracy and diversity in multi-objective optimization. Comparative evaluations against well-established algorithms demonstrate the superior performance of the proposed approach in approximating the Pareto front, improving computational efficiency, and maintaining solution diversity. The results highlight the effectiveness of the method in addressing OPF problems with conflicting objectives such as cost minimization, loss reduction, and voltage stability enhancement. This research provides a new perspective on applying stable matching mechanisms into evolutionary algorithms for power system optimization.http://www.sciencedirect.com/science/article/pii/S2590123025025897Multi-objective optimizationMOEA/DOPFStable matchingContinuous and Discrete Variables
spellingShingle Ebrahim Akbari
Amin Khodabakhshian
Abolfazl Rahimnejad
Stephen Andrew Gadsden
Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
Results in Engineering
Multi-objective optimization
MOEA/D
OPF
Stable matching
Continuous and Discrete Variables
title Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
title_full Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
title_fullStr Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
title_full_unstemmed Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
title_short Stable matching-enhanced MOEA/D for solving multi-objective optimal power flow problems
title_sort stable matching enhanced moea d for solving multi objective optimal power flow problems
topic Multi-objective optimization
MOEA/D
OPF
Stable matching
Continuous and Discrete Variables
url http://www.sciencedirect.com/science/article/pii/S2590123025025897
work_keys_str_mv AT ebrahimakbari stablematchingenhancedmoeadforsolvingmultiobjectiveoptimalpowerflowproblems
AT aminkhodabakhshian stablematchingenhancedmoeadforsolvingmultiobjectiveoptimalpowerflowproblems
AT abolfazlrahimnejad stablematchingenhancedmoeadforsolvingmultiobjectiveoptimalpowerflowproblems
AT stephenandrewgadsden stablematchingenhancedmoeadforsolvingmultiobjectiveoptimalpowerflowproblems