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Stability Region of Grid-Forming Wind Turbine with Variable Parameters Using Bialternate Sum Matrix Approach

Author

Listed:
  • Rui Wang

    (College of Information Science and Engineering, Northeastern University, Shenyang 110000, China)

  • Yang Gao

    (State Grid Anshan Power Supply Company, Anshan 114000, China)

  • Yilin Jia

    (State Grid Anshan Power Supply Company, Anshan 114000, China)

  • Hai He

    (State Grid Anshan Power Supply Company, Anshan 114000, China)

  • Junjie Wu

    (College of Information Science and Engineering, Northeastern University, Shenyang 110000, China)

  • Weisheng Wang

    (College of Information Science and Engineering, Northeastern University, Shenyang 110000, China)

Abstract

Although the stability regions of wind turbines in the islanding mode have been widely researched, small-signal modeling of grid-forming wind turbines (GFWTs) in the islanding mode has yet to be explored. In addition, the state-space matrix of the wind turbine system has yet to be fully represented. Therefore, this paper proposes a small-signal modeling of GFWT and a method for identifying the stabilization region of a system with variable parameters. First, small-signal modeling of a GFWT based on virtual synchronous generator control is developed. Second, the bialternate sum matrix approach is used to determine the system stabilization region. The system matrix with multiple variable parameters is first decomposed into the sum of several matrices in this paper. Furthermore, the rotor-side generator control is simplified. It can reduce the dimensionality of the system matrix model. Finally, the simulation shows that the proposed method for determining the stabilization region of the variable system is accurate.

Suggested Citation

  • Rui Wang & Yang Gao & Yilin Jia & Hai He & Junjie Wu & Weisheng Wang, 2024. "Stability Region of Grid-Forming Wind Turbine with Variable Parameters Using Bialternate Sum Matrix Approach," Mathematics, MDPI, vol. 12(7), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:969-:d:1363417
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