Sensorless DC Voltage Control with Backstepping Design Scheme for Shunt Active Power Filter

Abstract

In this paper a novel sensorless DC voltage regulation controller using backstepping design is proposed for three phase shunt active power filters (SAPF). The control scheme consists of nonlinear backstepping controllers and DC voltage observer to achieve the purpose of DC voltage regulation. The DC voltage observer and the backstepping controllers are developed and designed recursively based on adaptive backstepping design algorithm. The closed loop system is guaranteed to be asymptotically stable by constructing a suitable lyapunov function. The proposed control scheme not only stabilizes the operation of SAPF but also drives the DC voltage error to converge to zero asymptotically. Furthermore, some simulation results are given to illustrate the excellent performance of the nonlinear backstepping control applied to SAPF by comparison between the adaptive backstepping and sensorless backstepping control.