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Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

Author

Listed:
  • Bahram Shakerighadi

    (Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark)

  • Esmaeil Ebrahimzadeh

    (Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark)

  • Frede Blaabjerg

    (Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark)

  • Claus Leth Bak

    (Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark)

Abstract

In this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system. Then, by using the eigenvalues of the Lyapunov function, the system stability boundaries will be determined. It is shown that the grid-connected VSC works in its stable mode when all of its Lyapunov function’s eigenvalues are positive. The proposed model validity is tested by time-domain simulation. Simulation results show that the method is credible in determining the stability margin of the grid-connected VSC.

Suggested Citation

  • Bahram Shakerighadi & Esmaeil Ebrahimzadeh & Frede Blaabjerg & Claus Leth Bak, 2018. "Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method," Energies, MDPI, vol. 11(10), pages 1-16, September.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:10:p:2533-:d:171555
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    References listed on IDEAS

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    1. Ahmed Aldhaheri & Amir Etemadi, 2017. "Impedance Decoupling in DC Distributed Systems to Maintain Stability and Dynamic Performance," Energies, MDPI, vol. 10(4), pages 1-14, April.
    2. Meiyi Li & Wentao Huang & Nengling Tai & Moduo Yu, 2018. "Lyapunov-Based Large Signal Stability Assessment for VSG Controlled Inverter-Interfaced Distributed Generators," Energies, MDPI, vol. 11(9), pages 1-15, August.
    3. Xing Li & Hua Lin, 2018. "Stability Analysis of Grid-Connected Converters with Different Implementations of Adaptive PR Controllers under Weak Grid Conditions," Energies, MDPI, vol. 11(8), pages 1-17, August.
    4. Gang Yao & Zhichong Lu & Yide Wang & Mohamed Benbouzid & Luc Moreau, 2017. "A Virtual Synchronous Generator Based Hierarchical Control Scheme of Distributed Generation Systems," Energies, MDPI, vol. 10(12), pages 1-23, December.
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    Cited by:

    1. Mani Ashouri & Filipe Faria da Silva & Claus Leth Bak, 2019. "A Harmonic Based Pilot Protection Scheme for VSC-MTDC Grids with PWM Converters," Energies, MDPI, vol. 12(6), pages 1-16, March.
    2. Zbigniew Skibko & Magdalena Tymińska & Wacław Romaniuk & Andrzej Borusiewicz, 2021. "Impact of the Wind Turbine on the Parameters of the Electricity Supply to an Agricultural Farm," Sustainability, MDPI, vol. 13(13), pages 1-15, June.

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