2025/12/20 by Chakib Chatri, Chatri, Chakib, Ajul Dinesh +3
Engineering · #Microgrid Control and Optimization #Control and Stability of Dynamical Systems #Power System Optimization and Stability
paper · doi:10.48550/arxiv.2512.18428
This work addresses virtual resistance (VR)based control for grid-connected inverters, which enhances transient damping, reduces steady-state errors, and improves robustness to grid disturbances without requiring additional voltage sensors. Classical passivity-based VR control is robust, but limited by restrictive sector bounds on nonlinearities. We extend these bounds and model the closed-loop system as a generalized Persidskii-type nonlinear system. Using this framework, we derive input-to-state stability (ISS) conditions that account for the extended nonlinearities and external disturbances, providing a systematic and less conservative approach to VR control design under practical operating conditions, which is validated through extensive simulations.