A Novel Nonlinear Passivity-Based Control Algorithm for Active Power Filter Using Euler-Lagrange Model

The performance and application of active power filter (APF) in power system is closely linked to the control strategy. The paper proposes a novel nonlinear passivity-based algorithm for APF based on Euler-Lagrange (EL) dynamic averaged model of APF. Firstly, the EL dynamic averaged expressions of APF are determined in terms of substitution theorem and EL system theory. Secondly, according to passivity theory and EL averaged model presented, the passivity-based feedback control laws and the whole control objectives of APF arc proposed, which can guarantee the stability and achieve asymptotically command tracking. Lastly, 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 arc presented to verify the validity of the proposed algorithm.