| Thermal power generation is an important part of energy supply.With the continued growth of the number of generators and electricity demand,the economic dispatch problem has become the focus of power system optimization.At the same time,the optimization of economic dispatch is of great significance for environmental protection,energy saving and cost control.Due to the restrictions of valve point effect and prohibited operation zones,the economic dispatch problem has the characteristics of non-convex,non-linear and discontinuous,which makes it very difficult to solve.Inspired by the idea of multiple populations evolution,this thesis proposes a method to solve the economic dispatch optimization problem.The main research contents are shown as follows:This thesis induces the main research methods of economic dispatch optimization problem of power system.In addition,the basic theory and operation process of standard differential evolution algorithm are elaborated.The variant algorithms of standard differential evolution algorithm and their applications in complex problems are presented.A differential evolution algorithm based on population dynamic grouping is proposed to improve the multiple populations differential evolution algorithm.The algorithm is based on the co-evolution of multiple mutation strategies in multiple populations,the dynamic grouping strategy is adopted to enhance the information exchange among populations;Meanwhile,a local search strategy is designed to balance the global exploration ability and local search ability of the algorithm.The algorithm is tested with 2017benchmark functions,and the results show that the algorithm has a better performance in function optimization problems.The proposed algorithm is used to optimize the economic dispatch of power system.In order to improve the quality of the solutions and reduce the waste of computing resources,an improved iterative method is introduced to generate the initial solutions and new solutions for the economic dispatch of power system.The improved differential evolution algorithm is used to solve the economic dispatch problem.For the sake of assuring the stable operation of power system,the relaxation variable method and penalty function method are used to deal with the constraints.The simulation experiment is carried out on test system with 13,15,40 and 80 generators.Compared with other methods,the improved differential evolution algorithm has highly accuracy and stability in complex economic dispatch problem. |