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A Repetitive Control Scheme Aimed at Compensating the 6 k + 1 Harmonics for a Three-Phase Hybrid Active Filter

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Listed:
  • Zhaoxu Luo

    (School of Information Science and Engineering, Central South University, Changsha 410083, China)

  • Mei Su

    (School of Information Science and Engineering, Central South University, Changsha 410083, China)

  • Jian Yang

    (School of Information Science and Engineering, Central South University, Changsha 410083, China)

  • Yao Sun

    (School of Information Science and Engineering, Central South University, Changsha 410083, China)

  • Xiaochao Hou

    (School of Information Science and Engineering, Central South University, Changsha 410083, China)

  • Josep M. Guerrero

    (Department of Energy Technology, Aalborg University, Aalborg East DK-9220, Denmark)

Abstract

The traditional repetitive controller has relatively worse stability and poor transient performance because it generates infinite gain at all the integer multiples of the fundamental frequency, and its control action is postponed by one fundamental period ( T 0 ). To improve these disadvantages, many repetitive controllers with reduced delay time have been proposed, which can selectively compensate the odd harmonics or 6 k ± 1 harmonics with delay time reduced to T 0 /2 and T 0 /3, respectively. To further study in this area, this paper proposes an improved repetitive scheme implemented in a stationary reference frame, which only compensates the 6 k + 1 harmonics (e.g., −5, +7, −11, +13) in three-phase systems and reduces the time delay to T 0 /6. Thus compared with the earlier reduced delay time repetitive controllers, the robustness and transient performance is further improved, the waste of control effort is reduced, and the possibility of amplifying and even injecting any harmonic noises into the system is avoided to a great extent. Moreover, the proposed repetitive scheme is used in the control of a three-phase hybrid active power filter. The experimental results validate the effectiveness of the proposed repetitive control scheme.

Suggested Citation

  • Zhaoxu Luo & Mei Su & Jian Yang & Yao Sun & Xiaochao Hou & Josep M. Guerrero, 2016. "A Repetitive Control Scheme Aimed at Compensating the 6 k + 1 Harmonics for a Three-Phase Hybrid Active Filter," Energies, MDPI, vol. 9(10), pages 1-17, September.
    • Handle: RePEc:gam:jeners:v:9:y:2016:i:10:p:787-:d:79354
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    References listed on IDEAS

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    1. Wu Cao & Kangli Liu & Yongchao Ji & Yigang Wang & Jianfeng Zhao, 2015. "Design of a Four-Branch LCL -Type Grid-Connecting Interface for a Three-Phase, Four-Leg Active Power Filter," Energies, MDPI, vol. 8(3), pages 1-22, February.
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    Cited by:

    1. Leonardo Rodrigues Limongi & Fabricio Bradaschia & Calebe Hermann de Oliveira Lima & Marcelo Cabral Cavalcanti, 2018. "Reactive Power and Current Harmonic Control Using a Dual Hybrid Power Filter for Unbalanced Non-Linear Loads," Energies, MDPI, vol. 11(6), pages 1-19, May.
    2. Felipe J. Zimann & Eduardo V. Stangler & Francisco A. S. Neves & Alessandro L. Batschauer & Marcello Mezaroba, 2020. "Coordinated Control of Active and Reactive Power Compensation for Voltage Regulation with Enhanced Disturbance Rejection Using Repetitive Vector-Control," Energies, MDPI, vol. 13(11), pages 1-18, June.
    3. Pedro V. S. G. de Lima & Rafael C. Neto & Francisco A. S. Neves & Fabrício Bradaschia & Helber E. P. de Souza & Eduardo J. Barbosa, 2023. "Zero-Phase FIR Filter Design Algorithm for Repetitive Controllers," Energies, MDPI, vol. 16(5), pages 1-33, March.
    4. Quentin Bellec & Jean-Claude Le Claire & Mohamed Fouad Benkhoris & Peyofougou Coulibaly, 2021. "A New Robust Digital Non-Linear Control for Power Factor Correction—Arc Welding Applications," Energies, MDPI, vol. 14(4), pages 1-25, February.

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