Restart Covariance Matrix Adaptation Evolution Strategy for Solving Wind-integrated Emission Economic Dispatch Problems

The combined emission economic dispatch (CEED) problem has become an increasingly important issue due to the detrimental environment impact of burning extensive fossil fuels in conventional thermal power generation plants. Furthermore, the maturity of technologies has led to rapid progress worldwide in electric power generation using clean pollution-free and renewable energy resources such as the wind and solar power generations. This paper presents a restart covariance matrix adaption evolution strategy with increasing population size (IPOP-CMAES) for solving the wind-integrated power systems considering both emissions and economic costs, which have extended the algorithm from the benchmark functions to the practical application in the power system and got the outstanding performance. The IPOP-CMAES launches a restart strategy with the increasing population when the stopping criterion is met on the basic CMAES. The IPOP-CMAES is tested on a 10-unit system with different levels of wind power penetrations and a 40-unit system. The results show that it can provide higher quality solutions compared to literature algorithms and other commonly used methods no matter in the small or large scale power systems.