Analysis and Application of Lyapunov-Based Stable Control of the Single-Phase Shunt Active Power Filter

For the varying load and system parameters can influence the stability of the active power filter (APF), a control method based on Lyapunov theory is proposed. The control method based on Lyapunov theory is introduced, and the chosen of the system parameters and its performances are analyzed. Construct the circuit equations using KCL and KVL, then determine the control input of the APF through constructing the energetic like Lyapunov function and making use of the Lyapunov stability theory. The compensate current is generated through the switching of the IGBT using PWM. The relationships between the control parameter, filtering induction, DC side voltage and the stability, dynamics, and capability of the APF are analyzed. Simulation results are obtained using Matlab/Simulink. These results verify the correct operation of the proposed control method.