Abstract

An adaptive fractional-order fuzzy control method for a three-phase active power filter (APF) using a backstepping and sliding mode controller is developed for the purpose of compensating harmonic current and stabilizing the DC voltage quickly. The dynamic model of APF is changed to an analogical cascade system for the convenience of the backstepping strategy. Then a fractional-order sliding mode surface is designed and a fuzzy controller is proposed to approximate the unknown term in the controller, where parameters can be adjusted online. The simulation experiments are conducted and investigated using MATLAB/SIMULINK software package to verify the advantage of the proposed controller. Furthermore, the comparison study between the fractional-order controller and integer-order one is also conducted in order to demonstrate the better performance of the proposed controller in total harmonic distortion (THD), a significant index to evaluate the current quality in the smart grid.

Highlights

  • With the development of power grids, more and more problems occur, accompanied by convenience and benefits

  • Instead of a passive filter, the active power filter (APF) is a new power electronic device used for its higher flexibility and better capability of suppressing harmonic currents

  • Due to the wide range of applications of APF in power systems over the past decades, many scholars have applied a variety of intelligent control methods to APF

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Summary

Introduction

With the development of power grids, more and more problems occur, accompanied by convenience and benefits. Ouadi et al [1] developed a new oriented control model for shunt active power filter (SAPF)-load system, and designed an adaptive controller based on the new model. Fei et al [3], Chu et al [4], Fang et al [5], and Fei et al [6] investigated intelligent control methods such as an adaptive neural network controller and fuzzy neural controller for an active power filter to track command current to eliminate the harmonic current and improve the power quality of the power system. Adaptive sliding controllers are developed for active power filters [19,20,21]. Unknown sliding controllers are developed for active power filters [19,20,21].

System
Fractional Calculus Preliminaries
Fractional Backstepping Sliding Mode Controller
Design of Fractional
Design
A Lyapunov function is defined as
Simulation and Discussion
Findings
DC capacitor voltage with the load
Conclusions
Full Text
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