A PIMR-Type Repetitive Control for a Grid-Tied Inverter: Structure, Analysis, and Design

This paper proposes a proportional-integral (inertial) multiresonant (PIMR) type repetitive control (PIMR-type RC) scheme for a grid-tied inverter. The proposed control scheme is composed of a repetitive controller in parallel with a proportional gain for the purpose of replacing lots of parameters of the conventional proportional multiresonant controller, and therefore, only a few parameters need to be designed. The proportional gain not only improves the dynamic response, but also enables repetitive controller (RC) to accommodate a larger RC gain, and hence a faster convergence rate. Theoretical analysis and stability analysis of PIMR-type RC are given, and then a practical step-by-step design tutorial is also provided. The experimental results validate the feasibility and outstanding performance of the proposed control scheme.