An consensus acceleration algorithm of incremental cost rate is proposed to effectively accelerate the convergence speed

which only requires a sparse communication network to realize three-level hierarchical control of distributed generators. The distributed primary control adopts linear droop control strategy. The distributed secondary control makes each distributed generator participate in system frequency regulation with their output frequency information; and distributed generators exchange cost incremental value information by any designed communication network. Then the distributed tertiary control adopts the consensus acceleration algorithm of incremental cost rate based on nonlinear droop control strategy to realize the optimal operation of power grid in a fast convergence speed. Finally

simulations validate the effectiveness of the proposed algorithm. This work is supported by National High Technology Research and Development Program of China(863 Program)(No. 2015AA050202)and National Natural Science Foundation of China(No. 51577168).