Distributed Economic Dispatch Based on Broadcast Gossip Consensus Algorithm in Smart Grid

This paper studies the economic dispatch problem (EDP) of distributed generators for smart grids. Aiming at the problem that synchronous communication is difficult to realize in multi-agent based economic dispatch, a broadcast gossip-based economic dispatch algorithm is proposed. Different from the traditional gossip EDP algorithm, broadcast gossip EDP algorithm enables all neighbors of a node to update information at each iteration by taking advantage of the inherent broadcast advantage of wireless sensor in smart grid. The matrix perturbation theory is used to prove the convergence of the algorithm. Different cases are studied to show the effectiveness and the plug-and-play capacity of the algorithm. The implementation on the IEEE-33 test system shows that the convergence speed of the broadcast gossip algorithm is higher than that of the traditional gossip algorithm.