A Droop Approach for the Passivity–based Control of Microgrids

Abstract In this paper, the stability properties of a microgrid in closed-loop with local inverters’ controllers and a droop power-sharing scheme are studied. The main result is the formal statement that this system is asymptotically stable concerning the equilibrium point that satisfies desired operating conditions. In contrast to the results reported in the literature, neither the stability analysis of the inverter’s dynamics is omitted, nor is it assumed that the only dynamic behavior is that corresponding to the droop scheme. The contribution exploits the inclusion of a passivity-based control law for the inverters and the input-to-state stability properties exhibited by the considered droop algorithm. The validity of the analysis is illustrated via a numerical evaluation.