Consensus based distributed finite-time economic dispatch in smart grid with jointly connected topology

摘要

The plug-and-play function is one of the features of future smart grid. Distributed economic dispatch algorithm will pave the way for the achievement of this function. Most existing distributed economic dispatch algorithms only achieve asymptotic or exponential convergence and work under time-invariant communication topology. In this work, a consensus based distributed economic dispatch algorithm, which achieves finite-time convergence under jointly connected topology condition, is proposed to calculate the optimal active power for each generator. By virtue of Lyapunov theory, LaSalle's invariance principle and homogeneous property, the convergence and optimality of the proposed algorithm are proved. Several case studies are performed to illustrate the effectiveness of the proposed algorithm.