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A Fractional Order Fast Repetitive Control Paradigm of Vienna Rectifier for Power Quality Improvement

Sue Wang1, Xintao Luo1,*, Saleem Riaz2, Haider Zaman3, Chaohong Zhou1, Pengfei Hao1

1 School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi’an, China
2 School of Automation, Northwestern Polytechnical University, Xi’an, China
3 Electronics Engineering Department, University of Engineering and Technology Peshawar, Khyber, PakhtunKhwa, Pakistan

* Corresponding Author: Xintao Luo. Email:

(This article belongs to this Special Issue: Artificial Intelligence in Renewable Energy and Storage Systems)

Computer Modeling in Engineering & Sciences 2023, 134(2), 1159-1176.


Due to attractive features, including high efficiency, low device stress, and ability to boost voltage, a Vienna rectifier is commonly employed as a battery charger in an electric vehicle (EV). However, the 6k ± 1 harmonics in the acside current of the Vienna rectifier deteriorate the THD of the ac current, thus lowering the power factor. Therefore, the current closed-loop for suppressing 6k ± 1 harmonics is essential to meet the desired total harmonic distortion (THD). Fast repetitive control (FRC) is generally adopted; however, the deviation of power grid frequency causes delay link in the six frequency fast repetitive control to become non-integer and the tracking performance to deteriorate. This paper presents the detailed parameter design and calculation of fractional order fast repetitive controller (FOFRC) for the non-integer delay link. The finite polynomial approximates the non-integer delay link through the Lagrange interpolation method. By comparing the frequency characteristics of traditional repetitive control, the effectiveness of the FOFRC strategy is verified. Finally, simulation and experiment validate the steadystate performance and harmonics suppression ability of FOFRC.


Cite This Article

Wang, S., Luo, X., Riaz, S., Zaman, H., Zhou, C. et al. (2023). A Fractional Order Fast Repetitive Control Paradigm of Vienna Rectifier for Power Quality Improvement. CMES-Computer Modeling in Engineering & Sciences, 134(2), 1159–1176.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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