Application Of Non-dominated Sorting Point Algorithm In Multi-Objective Optimization Of Power System

With the development of China's power industry,the improving of computing capabilities of computers and the increasing demand for the balance of economy,security and reliability in power system planning,the popular heuristic algorithms have their shortcomings like strong subjectivity in choosing paramaters and low convergence precision of solution set in solving integer programming and mixed integer programming power system problems with high dimensional nonlinear constraints.Therefore,focusing on the characteristics of integer scheduling variables of power transmission linemaintenance plan model and discrete and continuous variables of optimal reactive power dispatch model,in addition to the high dimensional nonlinear constraints of the two above scenes,the non-dominated sorting point algorithm is proposed to solve these models.The comparison of simulating results with heuristic algorithms shows better economic,reliable indexs in power transmission linemaintenance plan and less active power loss with stabler voltage in reactive power dispatch.Firstly,this paper introduces the basic theory of multi-objective optimization,including the basic definition,optimization target and performance index function,etc.In this paper,we study and compare the advantages and disadvantages between classical methods and meta-heuristic algorithms.Secondly,this paper presents fast non-dominated sorting mechanism.Based on this mechanism and the concept of multi-objective optimization,non-dominated sorting point algorithm is introduced with its basic idea and specific process of solving multi-objective optimization problems.The simulation results comparison on multi-objective optimization test function confirmed the superiority in computational efficiency,convergence of the solution set and the abilities to solve non-continuous feasible region of non-dominated sorting point algorithm above meta-heuristic algorithms.The non-dominated sorting point algorithm is applied to the power transmission linemaintenance plan optimization model,and the non-dominated sorting point algorithms is combined with flower pollination algorithm to solve optimal reactive power dispatch model.The example shows that the method presented in this paper is correct and effective.At the same time,the comparison of the simulation results with meta-heuristic algorithm shows that the algorithm proposed in this paper more than reasonable,which provides a new reliable way to solve the multi-objective optimization problems of power system.