Shunt hybrid active power filter control based on Lyapunov theorem

Based on Lyapunov, a kind of control method is proposed which is applied to shunt hybrid active power filter (SHAPF). First, mathematic model of SHAPF is built in three phase static frame; and then this model is transformed into d-q frame and controller is designed in d-q frame. Control system is divided into current loop and voltage loop. In current loop, current control law is obtained by making the derivative of Lyapunov function negative. PI controller is utilized in voltage loop. DC voltage can stabilize on 80V which reduces the capacity of active power filter. Both simulation and experiment results verify the compensation effect of steady and dynamic state.