Designing adaptive consensus-based scheme for economic dispatch of smart grid

The present work aims to solve the optimal economic dispatch problem for a class of smart grid in the presence of communication uncertainties via designing distributed adaptive consensus-based dispatch algorithm. Motivated by the fact that the total cost of smart grid will achieve its minimal value if the state consensus among incremental costs for all generating units can be ensured, a new kind of adaptive consensus protocol is proposed to make the incremental costs of all generating units in the smart grid subject to communication uncertainties achieve consensus. It is proven that the power demand and supply of the considered power system will be balanced during the dispatch process as long as the initial power outputs of generating units are appropriately selected. This indicates that the present adaptive consensus-based dispatch strategy is applicable to solve the economic dispatch problem of smart grid subject to communication uncertainties.