Sliding Mode Control with Fixed Switching Frequency for Four-wire Shunt Active Filter

Abstract

-The present paper proposes a sliding mode control with fixed switching frequency for three-phase three-leg voltage source inverter based four-wire shunt active power filter. The aim is to improve phase current waveform, neutral current mitigation, and reactive power compensation in electric power distribution system. The performed sliding mode for active filter current control is formulated using elementary differential geometry. The discrete control vector is deduced from the sliding surface accessibility using the Lyapunov stability. The problem of the switching frequency is addressed by considering hysteresis comparators for the switched signals generation. Through this method, a variable hysteresis band has been established as a function of the sliding mode equivalent control and a predefined switching frequency in order to keep this band constant. The proposed control has been verified with computer simulation which showed satisfactory results.

Investigation of SVPWM Based Sliding Mode Control Application on Dual-Star Induction Motor and Dual Open-End Winding Induction Motor

“…The conditions of existence and convergence are the criteria which allow the different dynamics of the system to converge towards the sliding surface and to remain there independently of the disturbances [31]. Among these criteria, the Lyapunov approach which is used in this paper.…”

Improving Power Quality by a Four-Wire Shunt Active Power Filter: A Case Study

“…It must be mentioned that it is difficult to achieve simultaneously small steady-state error and fast dynamic responses by using linear controllers [29]. As an alternative, the use of nonlinear controllers can lead to good performance in steady-state regimes and fast dynamic responses [23,32,33]. The hysteresis current controller provides a very fast response and acceptable steady-state performance [7,[10][11][12]14,15,19,[24][25][26]29,30,34].…”

“…To control the current provided by APF, two current control methods can be adopted: the direct current control (DCC) [10,11,13,14,16,18,23,24,26,29,32,36] and the indirect current control (ICC) [19,34,[37][38][39][40][41]. As the name suggests, in the case of DCC, the nonsinusoidal current at the inverter output is directly controlled after comparing its measured value with the prescribed value.…”

Adaptive non-linear control of three-phase four-wire Shunt active power filters for unbalanced and nonlinear loads.

“…The third category includes nonlinear controllers, designed based on the system accurate nonlinear models. The control design techniques used a passivity approach, sliding mode control and Lyapunov design (Juming CHEN et al, 2006, Farid Hamoudi et al, 2011, Bouzidi Mansour et al, 2013. However, the proposed nonlinear controllers have only consisted in current loops designed to meet the harmonic and neutral current compensation requirement.…”