Sliding mode control of a 3-phase-shunt active power filter

In this paper, a sliding mode control approach is developed to control a three-phase three-wire voltage source inverter with neutral connection operating as a shunt active power filter (SAPF). Contrarily, to a previous work of Cardenas et al [V. Cardenas et al., 1998], the authors applied the sliding mode control on a nonlinear model namely bilinear model developed in the (d, q) fame. A new modelling approach is proposed based on Fourier Transform applied to the inverter leading a state space model in the (a, b, c) frame. This modelling alternative is quite simple to handle and exhibit good dynamic response, robustness, and stability. Simulation results using Matlab power system blockset highlight the effectiveness of this new modelling approach.