Research On Dynamic Economic Dispatch Of Power System Based On Differential Evolution Algorithm

Energy is the material basis for the strong growth of the world economy,and it provides an important guarantee for the development of the economy and society.In recent years,the energy crisis has seriously threatened the survival and development of mankind.Electric energy is a form of energy that is closely related to our daily life.Power system economic dispatch is an important means to control the cost of electric energy production.How to effectively optimize the economics of power system operation under the premise of meeting the basic human power demand is an urgent problem to be solved.Therefore,based on the improved differential evolution algorithm,this paper studies the computational problems of dynamic economic dispatching of power system.Firstly,in order to improve the convergence,global search ability and solution space exploitation ability of the original differential evolution algorithm,a multi-strategy different dimensional mutation differential evolution(MDMDE)algorithm is proposed.MDMDE differs from the original algorithm in four ways: a different dimensional mutation strategy is designed to help the particle to jump out of the local optimum and avoid the premature convergence;a multi-strategy mutation method is proposed to balance the global and local search;a modified crossover rate is used to increase the diversity of candidate solutions;a mutation process of dynamic mutation factors is proposed to enhance the ability of the algorithm to develop the solution space.MDMDE is applied to performance testing of multiple unimodal and multimodal functions.The experimental results show that MDMDE performs well in search accuracy,convergence speed and stability,Therefore,MDMDE is a powerful tool for solving the unconstrained optimization problem.Secondly,in response to the conflict between fuel cost and various constraints,two methods for dealing with constraints are proposed: One is a repair technique to deal with inequality constraints related to unit output and ramp rate limits;the other is the penalty function method,which is used to deal with two kinds of constraint conditions related to power balance and prohibited operation zone.These two approaches are used to help MDMDE solutions to approach or enter feasible regions where all constraints can be met,and another important feature of the approaches are the ability to quickly find feasible solutions even in high-dimensional problems.In addition,in order to verify the practicability of MDMDE in solving practical engineering problems,this paper chooses six dynamic economic dispatch(DED)cases of power system,including the 5-unit system with transmission losses,the 5-unit system with transmission losses and prohibited operating zones(POZs),the 10-unit system without transmission losses or POZs,the 10-unit system with transmission losses,the 10-unit system with transmission losses and POZs and the 30-unit system without transmission losses or POZs.Through comparative experimental analysis with the other two differential evolution algorithm variants,it proves that MDMDE has strong convergence and stability,and is an effective tool to solve DED problems.Finally,the future research directions and specific work are discussed,including dynamic economic emission dispatch(DEED),population topology and extension of the application range of the algorithm.