Enhancing Resilience in Angle Droop Control of Inverter-interfaced Microgrids

This paper develops a resilient angle control strategy for inverter-interfaced microgrids subject to magnitude-bounded disturbance. We show that an inverter-interfaced microgrid can be cast as a Lur'e system (a combination of a linear time-invariant system and a nonlinear static state feedback sector-bounded nonlinearity). Then, under this novel description and use of mathematically rigorous input-output stability analysis results, the stability of inverter-based microgrids will be analyzed. The resilience analysis of the microgrids controlled by the proposed angle control approach is based on a mathematically rigorous characterization of disturbances that a microgrid can tolerate so that its stability and operational constraints are not violated. The simulation results evaluate the performance and effectiveness of the proposed resilient angle control over conventional angle droop control methods.