Virtual Resistance-Based Control for Grid-Connected Inverters using Persidskii Systems Approach

TL;DR

This paper introduces a novel control approach for grid-connected inverters using Persidskii systems, extending traditional methods to improve robustness and stability without extra sensors, validated through simulations.

Contribution

It extends passivity-based virtual resistance control by modeling the system as a Persidskii-type nonlinear system and deriving less conservative ISS conditions for enhanced robustness.

Findings

Improved transient damping and steady-state accuracy.

Enhanced robustness to grid disturbances.

Validated effectiveness through extensive simulations.

Abstract

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.