Abstract
The economic dispatch problem (EDP) in smart grid mainly is investigated in this paper. The transmission losses of power produced by generator will be taken into account, which introduces nonlinear constraints in the EDP. By viewing the losses as a quadratic function, a broadcast gossip economic dispatch algorithm is proposed to work out the EDP. This distributed algorithm makes all neighbors of the node update the information of each iteration through broadcast. The convergence of the algorithm will be certified by the approximation as well as matrix perturbation theory. Three simulation experiments show the distributed algorithm’s availability as well as plug-and-play capability, and a comparison with the algorithm in which the transmission loss is not considered is further given.
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