A Consensus-Based Dispatch Algorithm of Constrained Electrical Energy Storage Systems

This paper investigates the distributed dispatching problems of a group of electrical energy storage systems (EESSs) over a strongly connected communication digraph. Based on the consensus control approach and the computed desired power, a bounded distributed dispatch algorithm is designed for both discharging and charging processes of EESSs. To overcome the difficulty in stability analysis caused by saturated algorithm and digraph, some new results are developed for the strongly connected digraph. A Lyapunov function, constructed to be non-increasing, and the LaSalle invariance principle are used to prove that in presence of constraints, the total power of EESSs can globally asymptotically track the supply-demand mismatch, and the SoCs of EESSs globally asymptotically converge to a common dynamic value, achieving the dispatching objective. Effectiveness of the algorithm is demonstrated by simulation results.