On the basis of the conventional single-object model only considering the energy consumption

a multi-objective optimization model for load dispatch was established

concerning the energy consumption

environmental protection and load response rate.A hybrid multi-objective differential evolution(DE)and particle swarm optimization(PSO)algorithm called MDPA was proposed

which uses arena's principle to establish non-dominate set

cluster analysis to change the size of no-dominate set

elitist strategy to retain extreme points during evolution.Results in three multi-objective load dispatch problems show faster convergence rate

higher convergence precision and more even distribution of solution set compared with NSGA-Ⅱ.