Robust Control of an Islanded DC Microgrid Using H∞ Loop-Shaping Design Considering Parametric Uncertainties

Abstract

A robust decentralized control method is proposed in this paper for an islanded DC microgrid. A state-space model of the islanded DC microgrid system is derived based on the small-signal model of the system. Parametric uncertainties like load resistance, filter inductance and capacitance are modelled using the upper linear fractional transformation technique. A loop-shaping H∞ controller is designed to ensure robust stability and satisfaction of desired performance criteria. The proposed control technique is applied to an islanded DC microgrid test system comprising a dispatchable distributed generation unit, a photovoltaic unit following the maximum power point tracking algorithm, and a battery energy storage system unit. Simulation studies validate the efficacy of the proposed control approach for an islanded DC microgrid. © 2023 IEEE.