L2 -Gain Control for Single-Phase Active Power Filter Using Euler-Lagrange Model

The performance and application of Active Power Filter (APF) in power system is closely linked to the selection of control strategies. The paper proposes a novel L2 -gain control algorithm for single-phase APF using Euler-Lagrange (EL) dynamic averaged model. The EL dynamic averaged model of single-phase APF with unknown disturbances is established in terms of EL system theory. Based on EL averaged model presented, L2 -gain control laws and the whole control objectives of single-phase APF are proposed, which can guarantee the stability of closed system and achieve asymptotically tracking control objectives and disturbances attenuation. Furthermore, in order to overcome the difficulty in estimating the ripple component on dc-side capacitor voltage, the modified control algorithm is proposed by neglecting the ripple component. Simulation results are presented to verify the validity of the proposed algorithm.