Economic Dispatch in Smart Grid Based on Fully Distributed Consensus Algorithm with Time Delay

Economic dispatch problem (EDP) is an optimization problem, which aims at minimizing the total generation cost. On the other hand, with the development of smart grid, cyber network plays an important role in power system operation. However, time delays are nonnegligible in a communication system. In this paper, a fully distributed consensus algorithm is proposed for EDP firstly, the total power demand can be obtained by K-step average consensus algorithm. Then the impacts of time delays are discussed and the critical maximum allowable upper bounds are obtained. It should be pointed out that, even with time delays, the proposed algorithm can be used online because the total output power is equal to the total power demand all the time during the optimization process. Finally, several simulation cases are presented to demonstrate the effectiveness and usefulness of the proposed algorithm.

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