This paper addresses the design and implementation of a discrete controller for grid connected voltage source inverters with LCL-filter usually found in wind power generation systems. First a theorem that relates the controllability of the discrete dynamic equation of the inverter with LCL-filter and the sampling frequency is derived. Then, a condition to obtain a robust partial state feedback controller based on linear matrix inequalities is proposed. This controller guarantees the stability and damping of the LCL-filter resonance for a large set of grid conditions without requiring self-tuning procedures. Finally, an internal model controller is added to ensure asymptotic reference tracking and disturbance rejection, therefore reducing significantly the impact of grid background voltage distortion on the output currents. Simulation and experimental results are presented to support the theoretical analysis and to demonstrate the system performance.
Grid Connected Inverters; LCL Filters; PWM converters; Partial State Feedback; Linear Matrix Inequalities
