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H∞ Repetitive Control Based on Active Damping with Reduced Computation Delay for LCL-Type Grid-Connected Inverters

Author

Listed:
  • Wei Jin

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, No. 92 Weijin Road, Nankai District, Tianjin 300072, China)

  • Yongli Li

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, No. 92 Weijin Road, Nankai District, Tianjin 300072, China)

  • Guangyu Sun

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, No. 92 Weijin Road, Nankai District, Tianjin 300072, China)

  • Lizhi Bu

    (Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, No. 92 Weijin Road, Nankai District, Tianjin 300072, China)

Abstract

In the paper, the H∞ repetitive current control scheme based on active damping along with the design method is proposed for three-phase grid-connected inverters with inductor-capacitor-inductor (LCL) filters. The control scheme aims to reduce the harmonic distortion of the output currents and achieve better efficiency. The design method introduces capacitor-current-feedback active damping into the H∞ controller design process by proposing an equivalent controlled plant. Additionally, based on the discrete model of the controlled plant with variable computation delay, the algebraic expression of the stable region for the feedback coefficient and the computation delay is obtained to avoid system instability caused by the digital control delay. Finally, the stability criterion is proposed to evaluate the stability of the discrete control system with the H∞ repetitive current control scheme. The theoretical analysis and experimental results prove that the control scheme presented in this paper not only can reject the harmonics of output currents, but is robust under the variation of the grid-impedance.

Suggested Citation

  • Wei Jin & Yongli Li & Guangyu Sun & Lizhi Bu, 2017. "H∞ Repetitive Control Based on Active Damping with Reduced Computation Delay for LCL-Type Grid-Connected Inverters," Energies, MDPI, vol. 10(5), pages 1-19, April.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:5:p:586-:d:96703
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    Citations

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    Cited by:

    1. En-Chih Chang & Chun-An Cheng & Lung-Sheng Yang, 2019. "Nonsingular Terminal Sliding Mode Control Based on Binary Particle Swarm Optimization for DC–AC Converters," Energies, MDPI, vol. 12(11), pages 1-14, June.
    2. Filip Filipović & Milutin Petronijević & Nebojša Mitrović & Bojan Banković & Vojkan Kostić, 2019. "A Novel Repetitive Control Enhanced Phase-Locked Loop for Synchronization of Three-Phase Grid-Connected Converters," Energies, MDPI, vol. 13(1), pages 1-25, December.
    3. Fankun Meng & Zhengguo Li & Xiaoli Sun & Xiaoqin Wen & Michael Negnevitsky & Linru You, 2020. "Speed Fluctuation Suppression Based on an Adaptive Periodic Disturbance Observer for an Inverter Compressor," Energies, MDPI, vol. 13(19), pages 1-23, September.
    4. Min Huang & Han Li & Weimin Wu & Frede Blaabjerg, 2019. "Observer-Based Sliding Mode Control to Improve Stability of Three-Phase LCL-Filtered Grid-Connected VSIs," Energies, MDPI, vol. 12(8), pages 1-15, April.
    5. Seung-Jin Yoon & Ngoc Bao Lai & Kyeong-Hwa Kim, 2018. "A Systematic Controller Design for a Grid-Connected Inverter with LCL Filter Using a Discrete-Time Integral State Feedback Control and State Observer," Energies, MDPI, vol. 11(2), pages 1-20, February.
    6. Cheng Nie & Yue Wang & Wanjun Lei & Tian Li & Shiyuan Yin, 2018. "Modeling and Enhanced Error-Free Current Control Strategy for Inverter with Virtual Resistor Damping," Energies, MDPI, vol. 11(10), pages 1-15, September.
    7. Matthias Schiesser & Sébastien Wasterlain & Mario Marchesoni & Mauro Carpita, 2018. "A Simplified Design Strategy for Multi-Resonant Current Control of a Grid-Connected Voltage Source Inverter with an LCL Filter," Energies, MDPI, vol. 11(3), pages 1-15, March.
    8. Thuy Vi Tran & Seung-Jin Yoon & Kyeong-Hwa Kim, 2018. "An LQR-Based Controller Design for an LCL-Filtered Grid-Connected Inverter in Discrete-Time State-Space under Distorted Grid Environment," Energies, MDPI, vol. 11(8), pages 1-28, August.
    9. Zhaozhao Geng & Zhigang Liu & Xinxuan Hu & Jing Liu, 2018. "Low-Frequency Oscillation Suppression of the Vehicle–Grid System in High-Speed Railways Based on H∞ Control," Energies, MDPI, vol. 11(6), pages 1-23, June.
    10. Chengbi Zeng & Sudan Li & Hanwen Wang & Hong Miao, 2021. "A Frequency Adaptive Scheme Based on Newton Structure of PRRC for LCL-Type Inverter Connected with Weak Grid," Energies, MDPI, vol. 14(14), pages 1-18, July.
    11. Md Alamgir Hossain & Hemanshu Roy Pota & Walid Issa & Md Jahangir Hossain, 2017. "Overview of AC Microgrid Controls with Inverter-Interfaced Generations," Energies, MDPI, vol. 10(9), pages 1-27, August.
    12. Jose Miguel Espi & Rafael Garcia-Gil & Jaime Castello, 2017. "Capacitive Emulation for LCL-Filtered Grid-Connected Converters," Energies, MDPI, vol. 10(7), pages 1-15, July.

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