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An Efficient Phase-Locked Loop for Distorted Three-Phase Systems

Author

Listed:
  • Yijia Cao

    (College of Electrical and Information Engineering, Hunan University, Changsha 410082, China)

  • Jiaqi Yu

    (College of Electrical and Information Engineering, Hunan University, Changsha 410082, China)

  • Yong Xu

    (College of Electrical and Information Engineering, Hunan University, Changsha 410082, China)

  • Yong Li

    (College of Electrical and Information Engineering, Hunan University, Changsha 410082, China)

  • Jingrong Yu

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

Abstract

This paper proposed an efficient phase-locked loop (PLL) that features zero steady-state error of phase and frequency under voltage sag, phase jump, harmonics, DC offsets and step-and ramp-changed frequency. The PLL includes the sliding Goertzel discrete Fourier transform (SGDFT) filter-based fundamental positive sequence component separator (FPSCS), the synchronousreference-frame PLL (SRF-PLL) and the secondary control path (SCP). In order to obtain an accurate fundamental positive sequence component, SGDFT filter is introduced as it features better filtering ability at the frequencies that are integer times of fundamental frequency. Meanwhile, the second order Lagrange-interpolation method is employed to approximate the actual sampling number including both integer and fractional parts as grid frequency may deviate from the rated value. Moreover, an improved SCP with single-step comparison filtering algorithm is employed as it updates reference angular frequency according to the FPSC, which promises a zero steady-state error of phase and improves the frequency tracking speed. In this paper, the mathematical model of the proposed PLL is constructed, its stability is analyzed. Also, design procedure of the control parameters is presented. The effectiveness of the proposed PLL is confirmed by experimental results and comparison with advanced pre-filtering PLLs.

Suggested Citation

  • Yijia Cao & Jiaqi Yu & Yong Xu & Yong Li & Jingrong Yu, 2017. "An Efficient Phase-Locked Loop for Distorted Three-Phase Systems," Energies, MDPI, vol. 10(3), pages 1-16, February.
  • Handle: RePEc:gam:jeners:v:10:y:2017:i:3:p:280-:d:91618
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    Citations

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    Cited by:

    1. Mohammad A. Bany Issa & Zaid A. Al Muala & Pastora M. Bello Bugallo, 2023. "Grid-Connected Renewable Energy Sources: A New Approach for Phase-Locked Loop with DC-Offset Removal," Sustainability, MDPI, vol. 15(12), pages 1-17, June.
    2. Gilberto A. Herrejón-Pintor & Enrique Melgoza-Vázquez & Jose de Jesús Chávez, 2022. "A Modified SOGI-PLL with Adjustable Refiltering for Improved Stability and Reduced Response Time," Energies, MDPI, vol. 15(12), pages 1-20, June.
    3. Abdullah Alassaf & Ibrahim Alsaleh & Ayoob Alateeq & Hamoud Alafnan, 2023. "Grid-Following Inverter-Based Resource: Numerical State–Space Modeling," Sustainability, MDPI, vol. 15(10), pages 1-18, May.
    4. Nanmu Hui & Dazhi Wang & Yunlu Li, 2018. "An Efficient Hybrid Filter-Based Phase-Locked Loop under Adverse Grid Conditions," Energies, MDPI, vol. 11(4), pages 1-18, March.
    5. Yunlu Li & Junyou Yang & Haixin Wang & Weichun Ge & Yiming Ma, 2018. "A Hybrid Filtering Technique-Based PLL Targeting Fast and Robust Tracking Performance under Distorted Grid Conditions," Energies, MDPI, vol. 11(4), pages 1-18, April.

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