Resilient distributed control of BESSs and voltage source converter-based microgrids considering switching topologies and nonuniform time-varying delays

Abstract

In this study, a distributed resilient control (DRC) scheme is proposed for inverter-interfaced autonomous ACmicrogrids (MGs). Due to unavoidable telecommunication vulnerabilities, time-delays already exist in communication links, and itseriously impresses the stability and performance of the network. Due to this fact, non-uniform time-varying communicationdelays are considered on the communication links (here, information exchanges between neighboring local controllers of DGsand BESSs). The authors consider a time-varying topology for distributed energy resources to address the uncertainties ofcommunications links, improve flexibility, and enhance the security of the system against cyber-attacks. Stability analysis ischaracterised based on the Lyapunov-Krasovskii theory, and sufficient conditions for a precise and comprehensive controlalgorithm are derived in terms of linear matrix inequalities (LMIs). The provided LMIs yield the upper bound of the time delay,which guarantees the stability of the system. Finally, to evaluate the performance of the control law, offline digital time-domainsimulation studies are performed on a test MG system in a MATLAB/Simulink environment, and also the results are comparedwith previously reported methods.