Modeling and State Feedback Control of Three-Phase Active Power Filter on Switched System

Abstract

Three-phase active power filter (APF) is a typical switched affine system for the action of the power switch. The conventional method of modeling was based on the linear system theory. In this paper, a novel control procedure for the three-phase APF based on the switched affine system and quadratic stability is proposed. Firstly, the three-phase APF is built as switched affine system model. Based on the sufficient condition for quadratic stability of convex combination, the common Lyapunov function is selected. Then, the switched rules can be defined to assess quadratic stability of the switched system, thus realizing the control of the compensation current and the DC side voltage. Finally, simulation results have good agreement with the theory analysis, and demonstrate the validity of this approach.