Generalized stability regions of current control for LCL-filtered grid-connected converters without passive or active damping

This paper investigates the stability regions of current control for LCL-filtered grid-connected converters, where no active or passive damping is required to stabilize the closed-loop control system. It is already identified in the literature that if the LCL resonance frequency is placed within 1/6 to 1/2 of the system sampling frequency, the grid current control can be directly used without damping. If the resonance frequency is smaller than 1/6 of the sampling frequency, the converter current control should then be adopted. This paper further extends the analysis to the cases where the resonance frequency could be larger than 1/2 of the sampling frequency, and derives the complete stability regions for both grid and converter current control. Interestingly, it is found that for any given LCL-filter design, there will always be one stable current control design without any damping, which may greatly facilitate the system controller design. Two design examples are given to demonstrate the feasibility and effectiveness of the proposed LCL-filter and current controller design. These theoretical analyses are also supported with simulation and experimental results.