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Small signal stability analysis for different types of PMSGs connected to the grid

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  • Xie, Da
  • Lu, Yupu
  • Sun, Junbo
  • Gu, Chenghong

Abstract

Small signal stability of permanent magnet synchronous generator (PMSG)-based wind turbines connected to the power grid should be studied properly in order to facilitate damping strategy design. In this paper, unified small-signal models for different types of PMSGs are developed to study their small-signal stability. The models are composed of mechanical systems, electrical systems and control systems. A two-mass shaft model for the mechanical system is provided to analyze the dynamic and steady-state behaviors of the wind turbine and generator rotor. Meanwhile, PMSG, converter system and transmission line are separately modeled to build unified small-signal models for three PMSG-based wind turbine generator systems (WTGS). Then, based on unified small-signal models, eigenvalue analysis is conducted to determine the relation between different oscillation modes and state variables through calculating participation factors. With modal analysis, the developed small signal models are able to find out all types of oscillation modes for PMSGs connected to the power grid, which are subsynchronous oscillation (SSO), subsynchronous control interaction (SSCI) and low-frequency oscillation, including frequency and damping of each oscillation mode. Different initial values of the small signal models can influence both frequencies and damping ratios of oscillation modes, which lay basis for further damping strategy study.

Suggested Citation

  • Xie, Da & Lu, Yupu & Sun, Junbo & Gu, Chenghong, 2017. "Small signal stability analysis for different types of PMSGs connected to the grid," Renewable Energy, Elsevier, vol. 106(C), pages 149-164.
    • Handle: RePEc:eee:renene:v:106:y:2017:i:c:p:149-164
    DOI: 10.1016/j.renene.2017.01.021
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    References listed on IDEAS

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    1. Santoso, Surya & Le, Ha Thu, 2007. "Fundamental time–domain wind turbine models for wind power studies," Renewable Energy, Elsevier, vol. 32(14), pages 2436-2452.
    2. Baroudi, Jamal A. & Dinavahi, Venkata & Knight, Andrew M., 2007. "A review of power converter topologies for wind generators," Renewable Energy, Elsevier, vol. 32(14), pages 2369-2385.
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    Cited by:

    1. Chen, Jian & Yao, Wei & Zhang, Chuan-Ke & Ren, Yaxing & Jiang, Lin, 2019. "Design of robust MPPT controller for grid-connected PMSG-Based wind turbine via perturbation observation based nonlinear adaptive control," Renewable Energy, Elsevier, vol. 134(C), pages 478-495.
    2. Youssef, Abdel-Raheem & Mousa, Hossam H.H. & Mohamed, Essam E.M., 2020. "Development of self-adaptive P&O MPPT algorithm for wind generation systems with concentrated search area," Renewable Energy, Elsevier, vol. 154(C), pages 875-893.
    3. Chenchen Ge & Muyang Liu & Junru Chen, 2022. "Modeling of Direct-Drive Permanent Magnet Synchronous Wind Power Generation System Considering the Power System Analysis in Multi-Timescales," Energies, MDPI, vol. 15(20), pages 1-19, October.
    4. Vargas, Uriel & Lazaroiu, George Cristian & Ramirez, Abner, 2021. "Stability assessment of a stand-alone wind-photovoltaic-battery system via Floquet Theory," Renewable Energy, Elsevier, vol. 171(C), pages 149-158.
    5. Xia, S.W. & Bu, S.Q. & Zhang, X. & Xu, Y. & Zhou, B. & Zhu, J.B., 2018. "Model reduction strategy of doubly-fed induction generator-based wind farms for power system small-signal rotor angle stability analysis," Applied Energy, Elsevier, vol. 222(C), pages 608-620.
    6. Jayshree Pande & Paresh Nasikkar, 2023. "A Maximum Power Point Tracking Technique for a Wind Power System Based on the Trapezoidal Rule," Energies, MDPI, vol. 16(6), pages 1-18, March.
    7. Zhang, Jingjing & Mahmud, Apel & Govaerts, Willy & Chen, Diyi & Xu, Beibei & Xiong, Hualin, 2020. "Sensitivity analysis and low frequency oscillations for bifurcation scenarios in a hydraulic generating system," Renewable Energy, Elsevier, vol. 162(C), pages 334-344.
    8. Han, Jiangbei & Liu, Chengxi, 2023. "Performance evaluation of SSCI damping controller based on the elastic energy equivalent system," Applied Energy, Elsevier, vol. 331(C).
    9. Yang, Bo & Yu, Tao & Shu, Hongchun & Zhang, Yuming & Chen, Jian & Sang, Yiyan & Jiang, Lin, 2018. "Passivity-based sliding-mode control design for optimal power extraction of a PMSG based variable speed wind turbine," Renewable Energy, Elsevier, vol. 119(C), pages 577-589.

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