Finite-Time Stability Analysis of a Distributed Microgrid Connected via Detail-Balanced Graph

Distributed secondary control has been used as leading strategy to regulate the frequency and voltage of islanded AC microgrids, acting as cooperative multi-agent systems with droop controlled inverters. This paper considers the secondary control of an islanded microgrid as a leader-follower consensus problem, and implements a distributed finite-time strategy to restore the frequency of inverter-based generators, connected via detail-balanced directed topology. We show that the proposed controller restores the frequencies in the finite-time, while ensuring accurate real power-sharing among generators. We also provide an explicit expression for an upper bound on the convergence time. Simulations are given to illustrate the performance of the proposed controller. A comparison with undirected communication topology is also provided.