Passivity-Based Robust Stability Control of Heterogeneous DGs in Microgrid

Abstract

Microgrid is usually a nonlinear system composed of heterogeneous distributed generators and has complex stability problems. The traditional passivity-based control methods are facing challenges due to the complexity and uncertainty of the components in microgrid. In this paper, output-differential (OD) passivity, feedback passification and robust stability control of distributed generators are addressed. First, a sufficient condition for nonlinear systems to be robust OD passive is derived by data-driven matrix inequality (DMI) method. Then, a feedback passification design is proposed to render the system robust OD passive. Based on that, we provide a passivity-based robust control method to guarantee the stability of microgrids. Finally, a numerical example is illustrated to demonstrate the effectiveness of the results.