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Article

Novel Gaussian-Decrement-Based Particle Swarm Optimization with Time-Varying Parameters for Economic Dispatch in Renewable-Integrated Microgrids

by
Yuan Wang
1,*,
Wangjia Lu
1,
Wenjun Du
2,3 and
Changyin Dong
4,5
1
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China
2
Zhejiang Institute of Communications Co., Ltd., Hangzhou 310030, China
3
Key Laboratory of Transport Industry of Comprehensive Transportation Theory, Hangzhou 310030, China
4
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China
5
National Key Laboratory of Aircraft Configuration Design, Xi’an 710072, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2440; https://doi.org/10.3390/math13152440
Submission received: 21 June 2025 / Revised: 25 July 2025 / Accepted: 28 July 2025 / Published: 29 July 2025

Abstract

Background: To address the uncertainties of renewable energy power generation, the disorderly charging characteristics of electric vehicles, and the high electricity cost of the power grid in expressway service areas, a method of economic dispatch optimization based on the improved particle swarm optimization algorithm is proposed in this study. Methods: Mathematical models of photovoltaic power generation, energy storage systems, and electric vehicles were established, thereby constructing the microgrid system model of the power load in the expressway service area. Taking the economic cost of electricity consumption in the service area as the objective function and simultaneously meeting constraints such as power balance, power grid interactions, and energy storage systems, a microgrid economy dispatch model is constructed. An improved particle swarm optimization algorithm with time-varying parameters of the inertia weight and learning factor was designed to solve the optimal dispatching strategy. The inertia weight was improved by adopting the Gaussian decreasing method, and the asymmetric dynamic learning factor was adjusted simultaneously. Findings: Field case studies demonstrate that, compared to other algorithms, the improved Particle Swarm Optimization algorithm effectively reduces the operational costs of microgrid systems while exhibiting accelerated convergence speed and enhanced robustness. Value: This study provides a theoretical mathematical reference for the economic dispatch optimization of microgrids in renewable-integrated transportation systems.
Keywords: economic dispatch optimization; improved particle swarm optimization algorithm; Gaussian decreasing; renewable-integrated microgrids; transportation systems economic dispatch optimization; improved particle swarm optimization algorithm; Gaussian decreasing; renewable-integrated microgrids; transportation systems

Share and Cite

MDPI and ACS Style

Wang, Y.; Lu, W.; Du, W.; Dong, C. Novel Gaussian-Decrement-Based Particle Swarm Optimization with Time-Varying Parameters for Economic Dispatch in Renewable-Integrated Microgrids. Mathematics 2025, 13, 2440. https://doi.org/10.3390/math13152440

AMA Style

Wang Y, Lu W, Du W, Dong C. Novel Gaussian-Decrement-Based Particle Swarm Optimization with Time-Varying Parameters for Economic Dispatch in Renewable-Integrated Microgrids. Mathematics. 2025; 13(15):2440. https://doi.org/10.3390/math13152440

Chicago/Turabian Style

Wang, Yuan, Wangjia Lu, Wenjun Du, and Changyin Dong. 2025. "Novel Gaussian-Decrement-Based Particle Swarm Optimization with Time-Varying Parameters for Economic Dispatch in Renewable-Integrated Microgrids" Mathematics 13, no. 15: 2440. https://doi.org/10.3390/math13152440

APA Style

Wang, Y., Lu, W., Du, W., & Dong, C. (2025). Novel Gaussian-Decrement-Based Particle Swarm Optimization with Time-Varying Parameters for Economic Dispatch in Renewable-Integrated Microgrids. Mathematics, 13(15), 2440. https://doi.org/10.3390/math13152440

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