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Mathematical Biosciences and Engineering

2023, Volume 20, Issue 2: 1599-1616. doi: 10.3934/mbe.2023073
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Research article

Adaptive fuzzy-based stability control and series impedance correction for the grid-tied inverter

  • 1.
    School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi'an 710021, China
  • 2.
    Changqing Oilfield Clean Power Development Project Department, Xi'an 710021, China
  • 3.
    School of Automation, Northwestern Polytechnical University, Xi'an 710072, China
  • 4.
    The Second Oil Extraction Plant of Changqing Oilfield Company, Qing'yang 745100, China
  • 5.
    Electronics Engineering Department, University of Engineering and Technology Peshawar, Khyber, PakhtunKhwa, Pakistan
  • 6.
    Department of Electrical Engineering College of Engineering, TAIF University, TAIF, 21944, Saudi Arabia
  • Received: 01 June 2022 Revised: 13 October 2022 Accepted: 20 October 2022 Published: 03 November 2022

  • The regenerative braking in the tram allows the energy to be returned to the power grid through a power inverter. Since the inverter location between the tram and the power grid is not fixed, resulting in a wide variety of impedance networks at grid coupling points, posing a severe threat to the stable operation of the grid-tied inverter (GTI). By independently changing the loop characteristics of the GTI, the adaptive fuzzy PI controller (AFPIC) can adjust according to different impedance network parameters. It is challenging to fulfill the stability margin requirements of GTI under high network impedance since the PI controller has phase lag characteristics. A correction method of series virtual impedance is proposed, which connects the inductive link in a series configuration with the inverter output impedance, correcting the inverter equivalent output impedance from resistance-capacitance to resistance-inductance and improving the system stability margin. Feedforward control is adopted to improve the system's gain in the low-frequency band. Finally, the specific series impedance parameters are obtained by determining the maximum network impedance and setting the minimum phase margin of 45°. The realization of virtual impedance is simulated by conversion to an equivalent control block diagram, and the effectiveness and feasibility of the proposed method are verified by simulation and a 1 kW experimental prototype.

    Citation: Sue Wang, Chaohong Zhou, Saleem Riaz, Xuanchen Guo, Haider Zaman, Alsharef Mohammad, Ahmad Aziz Al-Ahmadi, Yasser Mohammed Alharbi, NasimUllah. Adaptive fuzzy-based stability control and series impedance correction for the grid-tied inverter[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 1599-1616. doi: 10.3934/mbe.2023073

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  • The regenerative braking in the tram allows the energy to be returned to the power grid through a power inverter. Since the inverter location between the tram and the power grid is not fixed, resulting in a wide variety of impedance networks at grid coupling points, posing a severe threat to the stable operation of the grid-tied inverter (GTI). By independently changing the loop characteristics of the GTI, the adaptive fuzzy PI controller (AFPIC) can adjust according to different impedance network parameters. It is challenging to fulfill the stability margin requirements of GTI under high network impedance since the PI controller has phase lag characteristics. A correction method of series virtual impedance is proposed, which connects the inductive link in a series configuration with the inverter output impedance, correcting the inverter equivalent output impedance from resistance-capacitance to resistance-inductance and improving the system stability margin. Feedforward control is adopted to improve the system's gain in the low-frequency band. Finally, the specific series impedance parameters are obtained by determining the maximum network impedance and setting the minimum phase margin of 45°. The realization of virtual impedance is simulated by conversion to an equivalent control block diagram, and the effectiveness and feasibility of the proposed method are verified by simulation and a 1 kW experimental prototype.




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