A Lyapunov stability theory-based control method for three-level shunt active power filter

This paper presents a Lyapunov stability theory-based control method for a three-level neutral-point-clamped active power filter (NPC-APF) in three-phase three-wire system. The mathematical model of NPC-APF is deduced, and the Lyapunov stability theory-based control is established for current control of NPC-APF. The current control is different from the conventional proportional integral control or proportional-resonant(PR) control, which maintain good steady-state compensation performance and fast dynamic tracking response in wide harmonics range compared to the traditional linear PR control systems. The extensive simulation results in MATLAB/SIMULINK validate the feasibility of the proposed method.