Competitive Elimination Improved Differential Evolution for Wind Farm Layout Optimization Problems

• Published in: Mathematics (Basel) 2024-12, Vol.12 (23), p.3762
• Main Authors: Tao, Sichen, Yang, Yifei, Zhao, Ruihan, Todo, Hiroyoshi, Tang, Zheng
• Format: Article
• Language: English
• Subjects: Air-turbines; Algorithms; Alternative energy sources; Buildings and facilities; Climate change; Construction costs; Convergence; differential evolution; Efficiency; Electric power production; Emissions; Energy utilization; Evolutionary computation; genetic algorithm; Genetic algorithms; genetic learning competitive elimination strategy; Heuristic methods; Integer programming; Layouts; Learning; Mathematical optimization; Optimization algorithms; Particle swarm optimization; sustainable energy; Turbines; Wind effects; wind farm layout optimization; Wind farms; Wind power; Wind turbines
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math12233762

The wind farm layout optimization problem (WFLOP) aims to maximize wind energy utilization efficiency under different wind conditions by optimizing the spatial layout of wind turbines to fully mitigate energy losses caused by wake effects. Some high-performance continuous optimization methods, such as differential evolution (DE) variants, exhibit limited performance when directly applied due to WFLOP’s discrete nature. Therefore, metaheuristic algorithms with inherent discrete characteristics like genetic algorithms (GAs) and particle swarm optimization (PSO) have been extensively developed into current state-of-the-art WFLOP optimizers. In this paper, we propose a novel DE optimizer based on a genetic learning-guided competitive elimination mechanism called CEDE. By designing specialized genetic learning and competitive elimination mechanisms, we effectively address the issue of DE variants failing in the WFLOP due to a lack of discrete optimization characteristics. This method retains the adaptive parameter adjustment capability of advanced DE variants and actively enhances population diversity during convergence through the proposed mechanism, preventing premature convergence caused by non-adaptiveness. Experimental results show that under 10 complex wind field conditions, CEDE significantly outperforms six state-of-the-art WFLOP optimizers, improving the upper limit of power generation efficiency while demonstrating robustness and effectiveness. Additionally, our experiments introduce more realistic wind condition data to enhance WFLOP modeling.