  This paper develops an improved distributed finite-time control algorithm for
multiagent-based ac microgrids with battery energy storage systems (BESSs)
utilizing a low-width communication network. The proposed control algorithm can
simultaneously coordinate BESSs to eliminate any deviation from the nominal
frequency as well as solving the state of charge (SoC) balancing problem. The
stability of the proposed control algorithm is established using the Lyapunov
method and homogeneous approximation theory, which guarantees an accelerated
convergence within a settling time that does not dependent on initial
conditions. Based on this, to significantly reduce the communication burdens,
an event-triggered communication mechanism is designed which can also avoid
Zeno behavior. Then sufficient conditions on the event-triggered boundary are
derived to guarantee the stability and reliability of the whole system.
Practical local constraints are imposed to implement the control protocol, and
the theoretical results are applied to a test system consisting of five DGs and
five BESSs, which verifies the effectiveness of the proposed strategy.
