Lyapunov control method of shunt active power filter

A control method of a three-phase, four-wire inverter shunt active power filter (SAPF) based on Lyapunov function proposed in this paper. This paper presents averaged model, and the state-space equation of the SAPF. A Lyapunov energy function is considered to extract inverter switching functions. According to globally asymptotically stability of Lyapunov, the control system of the SAPF is designed. Also the SRF theory is employed to extract the reference currents of the control system. The principles of the presented control method are analyzed to compensate harmonic components of the source currents. The SAPF is simulated based on Matlab/Simulink to validate effectiveness of the proposed control method.