In order to overcome the shortcomings of traditional centralized control strategy

such as large amount of calculation

strong dependence on the system communication. This paper proposes a distributed con-trol strategy based on multi-agent system to solve the economic dispatch problem. We use consensus algorithm with and without leader for economic dispatch problems of microgrid. With the incremental cost of each micro source as consistent variables

through mutual communication between adjacent micro sources. Finally

each micro source meets equal incremental costs and the system achieves the optimal economic objective. The simula-tion verifies the validity of the distributed algorithm. The influence of convergence coefficient and communica-tion topology on convergence speed and dynamic performance of the algorithm is studied

and comparisons between consensus algorithm with and without the leader verify the advantages of no leader consensus algorithm.