Prescribed-Time Consensus Control for the Voltage Restoration in Inverter-based Islanded Microgrids

Unlike Finite-Time (FT) and Fixed-Time (FxT) control strategies, Prescribed-Time (PT) control is able to alleviate the issue about the overestimation of the settling time, as well as the achievement of the system stability within a prescribed user-assignable settling time. Besides these benefits, no distributed PT solutions have been already proposed for distributed voltage secondary control in islanded Microgrid (MG). Therefore, the aim of this article is to fill this gap by introducing a novel distributed PT voltage controller in islanded MG able to guarantee that each distributed generation tracks the desired voltage value within a fixed time interval, which can be prescribed arbitrarily in advance and does not depend on initial conditions and control parameters. These features are crucial in such realistic applications due to the highly-varying operating conditions requiring the timely recovery of nominal voltage value. The tuning of the control gains is properly derived by leveraging Lyapunov theory, which allows analytically proving the PT stability of the entire MG after each transient phase. An extensive numerical analysis carried out on the standard IEEE 14-bus test system confirms the effectiveness of the theoretical derivations.