Robust distributed cooperative control for DC mircogrids with time delays, noise disturbances, and switching topologies

This paper develops a robust consensus-based distributed cooperative control scheme for DC microgrids with asymmetric time delays and switching topologies in noisy environments. The proposed distributed cooperative control scheme, consisting of a leader-following consensus-based distributed voltage controller and a consensus-based distributed load current controller, is to respectively regulate the voltage of DC microgrids to the desired value and achieve the cost-based load current sharing through a sparse communication network (i.e., a distributed low bandwidth communication network) with asymmetric communication delays, switching topologies and noise disturbances. Moreover, the proposed controllers are implemented through sparse communication networks and thus meet the plug-and-play feature of microgrid power systems. Based on the Lyapunov-Krasovskii functional method and stochastic differential equation theory, the criteria for the stability analysis and delays boundedness to maintain the system stable are derived. The effectiveness of the proposed control methods are verified by the simulation of a DC microgrid system in MATLAB/SimPowerSystems.