Distributed Mean-Square Consensus for Microgrid Networks with Switching Topology

Abstract

This paper proposes a discrete-time distributed mean-square consensus cooperation scheme that can achieve DC bus voltage restoration and maintain proportional current sharing of DC microgrids in mean square via a sparse communication network subject to dynamic communication topology and multiplicative noise disturbances. The cyber networks are exposed to multiplicative noise disturbance and the switching of dynamic communication topologies, which terribly reduce the stability and quality of whole system. To eliminate the adverse effects of dynamic communication topology and Brownian noise disturbances, a robust state-dependent multiplicative noise-resiliency distributed resilient control algorithm is developed for DC microgrids. Through adopting stochastic stability theory and Lyapunov function, the sufficient conditions considering dynamic communication topology and noise interferences is derived to guarantee the stability operation of the whole closed-loop system. As a result the suggested method decreases the sensitivity of the system to failures and increases its reliability. Finally, a DC microgrid test system in MATLAB/SIMULINK is utilized to verify the effectiveness of the proposed controller design scheme.