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Article

Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems

by
Umair Hussan
1,
Huaizhi Wang
1,*,
Muhammad Ahsan Ayub
2,
Hamna Rasheed
2,
Muhammad Asghar Majeed
3,
Jianchun Peng
1 and
Hui Jiang
2
1
College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518000, China
2
College of Physics and Optoelectronics Engineering, Shenzhen University, Shenzhen 518000, China
3
Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, Pathumwan, Bangkok 10330, Thailand
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(19), 3064; https://doi.org/10.3390/math12193064
Submission received: 8 September 2024 / Revised: 26 September 2024 / Accepted: 27 September 2024 / Published: 30 September 2024
(This article belongs to the Special Issue Artificial Intelligence and Game Theory)
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Abstract

This paper addresses the critical challenge of optimizing power flow in multi-area power systems while maintaining information privacy and decentralized control. The main objective is to develop a novel decentralized stochastic recursive gradient (DSRG) method for solving the optimal power flow (OPF) problem in a fully decentralized manner. Unlike traditional centralized approaches, which require extensive data sharing and centralized control, the DSRG method ensures that each area within the power system can make independent decisions based on local information while still achieving global optimization. Numerical simulations are conducted using MATLAB (Version 24.1.0.2603908) to evaluate the performance of the DSRG method on a 3-area, 9-bus test system. The results demonstrate that the DSRG method converges significantly faster than other decentralized OPF methods, reducing the overall computation time while maintaining cost efficiency and system stability. These findings highlight the DSRG method’s potential to significantly enhance the efficiency and scalability of decentralized OPF in modern power systems.
Keywords: decentralized stochastic recursive gradient (DSRG); optimal power flow (OPF); decentralized operation; multi-area power system decentralized stochastic recursive gradient (DSRG); optimal power flow (OPF); decentralized operation; multi-area power system

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MDPI and ACS Style

Hussan, U.; Wang, H.; Ayub, M.A.; Rasheed, H.; Majeed, M.A.; Peng, J.; Jiang, H. Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems. Mathematics 2024, 12, 3064. https://doi.org/10.3390/math12193064

AMA Style

Hussan U, Wang H, Ayub MA, Rasheed H, Majeed MA, Peng J, Jiang H. Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems. Mathematics. 2024; 12(19):3064. https://doi.org/10.3390/math12193064

Chicago/Turabian Style

Hussan, Umair, Huaizhi Wang, Muhammad Ahsan Ayub, Hamna Rasheed, Muhammad Asghar Majeed, Jianchun Peng, and Hui Jiang. 2024. "Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems" Mathematics 12, no. 19: 3064. https://doi.org/10.3390/math12193064

APA Style

Hussan, U., Wang, H., Ayub, M. A., Rasheed, H., Majeed, M. A., Peng, J., & Jiang, H. (2024). Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems. Mathematics, 12(19), 3064. https://doi.org/10.3390/math12193064

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