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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9840657, 11 pages
Research Article

Research of Active Power Filter Modeling with Grid Impedance in Feedback Linearization and Quasi-Sliding Mode Control

1School of Electric Power, South China University of Technology, Guangzhou 510640, China
2Electric Power Research Institute, Guangdong Power Grid Co. Ltd., Guangzhou 510080, China

Correspondence should be addressed to Yingpin Wang; moc.621@pppgniygnaw

Received 5 May 2017; Accepted 19 October 2017; Published 21 November 2017

Academic Editor: Hung-Yuan Chung

Copyright © 2017 Zeyu Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Active power filter (APF) is the most popular device in regulating power quality issues. Currently, most literatures ignored the impact of grid impedance and assumed the load voltage is ideal, which had not described the system accurately. In addition, the controllers applied PI control; thus it is hard to improve the compensation quality. This paper establishes a precise model which consists of APF, load, and grid impedance. The Bode diagram of traditional simplified model is obviously different with complete model, which means the descriptions of the system based on the traditional simplified model are inaccurate and incomplete. And then design exact feedback linearization and quasi-sliding mode control (FBL-QSMC) is based on precise model in inner current loop. The system performances in different parameters are analyzed and dynamic performance of proposed algorithm is compared with traditional PI control algorithm. At last, simulations are taken in three cases to verify the performance of proposed control algorithm. The results proved that the proposed feedback linearization and quasi-sliding mode control algorithm has fast response and robustness; the compensation performance is superior to PI control obviously, which also means the complete modeling and proposed control algorithm are correct.