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Multi-time scale model reduction strategy of variable-speed pumped storage unit grid-connected system for small-signal oscillation stability analysis

Author

Listed:
  • Tan, Xiaoqiang
  • Li, Chaoshun
  • Liu, Dong
  • Wang, He
  • Xu, Rongli
  • Lu, Xueding
  • Zhu, Zhiwei

Abstract

This paper studies the time-scale characteristics, model reduction, and oscillation stability of the grid-connected variable speed pumped storage unit (VSPSU). Firstly, a method based on the modal analysis and time-scale separation ratio indicator is established to analyze the time-scale characteristics of VSPSU. The results indicate that the state variables of VSPSU can be approximately separated on four-time scales. On this basis, the singular perturbation method (SPM) is applied to obtain the reduced-order model (ROM) of VSPSU under different conditions. The results show that the accuracy of ROMs can be affected by changes in operating conditions. To balance the complexity and accuracy of ROM, a model reduction strategy combining SPM and reduction margin is proposed. The results indicate that the proposed method enables the order minimization of ROM while the selected oscillation mode reaches a given accuracy condition. Finally, the feasibility of ROM for oscillation stability analysis is verified. The ROMs obtained with the proposed strategy are more accurate than those obtained with SPM for oscillation stability analysis of VSPSU. The influence of grid strength, turbine speed, and torque conditions on system oscillation stability is also revealed. This study provides new insights for model order reduction and stability analysis of VSPSU.

Suggested Citation

  • Tan, Xiaoqiang & Li, Chaoshun & Liu, Dong & Wang, He & Xu, Rongli & Lu, Xueding & Zhu, Zhiwei, 2023. "Multi-time scale model reduction strategy of variable-speed pumped storage unit grid-connected system for small-signal oscillation stability analysis," Renewable Energy, Elsevier, vol. 211(C), pages 985-1009.
    • Handle: RePEc:eee:renene:v:211:y:2023:i:c:p:985-1009
    DOI: 10.1016/j.renene.2023.04.134
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    References listed on IDEAS

    as
    1. Yang, Weijia & Yang, Jiandong, 2019. "Advantage of variable-speed pumped storage plants for mitigating wind power variations: Integrated modelling and performance assessment," Applied Energy, Elsevier, vol. 237(C), pages 720-732.
    2. Liu, Yang & Guo, Wencheng, 2021. "Multi-frequency dynamic performance of hydropower plant under coupling effect of power grid and turbine regulating system with surge tank," Renewable Energy, Elsevier, vol. 171(C), pages 557-581.
    3. Schmidt, J. & Kemmetmüller, W. & Kugi, A., 2017. "Modeling and static optimization of a variable speed pumped storage power plant," Renewable Energy, Elsevier, vol. 111(C), pages 38-51.
    4. 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.
    5. Wesseh, Presley K. & Benjamin, Nelson I. & Lin, Boqiang, 2022. "The coordination of pumped hydro storage, electric vehicles, and climate policy in imperfect electricity markets: Insights from China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 160(C).
    6. Chen, Siyuan & Liu, Pei & Li, Zheng, 2020. "Low carbon transition pathway of power sector with high penetration of renewable energy," Renewable and Sustainable Energy Reviews, Elsevier, vol. 130(C).
    7. Gao, Chunyang & Yu, Xiangyang & Nan, Haipeng & Men, Chuangshe & Zhao, Peiyu & Cai, Qingsen & Fu, Jianing, 2021. "Stability and dynamic analysis of doubly-fed variable speed pump turbine governing system based on Hopf bifurcation theory," Renewable Energy, Elsevier, vol. 175(C), pages 568-579.
    8. Pingping Han & Yu Zhang & Lei Wang & Yan Zhang & Zihao Lin, 2018. "Model Reduction of DFIG Wind Turbine System Based on Inner Coupling Analysis," Energies, MDPI, vol. 11(11), pages 1-22, November.
    9. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang, 2022. "Influence of water diversion system topologies and operation scenarios on the damping characteristics of hydropower units under ultra-low frequency oscillations," Energy, Elsevier, vol. 239(PE).
    10. Verástegui, Felipe & Lorca, Álvaro & Olivares, Daniel & Negrete-Pincetic, Matias, 2021. "Optimization-based analysis of decarbonization pathways and flexibility requirements in highly renewable power systems," Energy, Elsevier, vol. 234(C).
    11. Liu, Dong & Li, Chaoshun & Malik, O.P., 2021. "Nonlinear modeling and multi-scale damping characteristics of hydro-turbine regulation systems under complex variable hydraulic and electrical network structures," Applied Energy, Elsevier, vol. 293(C).
    12. Xiaoxiao Meng & Qianggang Wang & Niancheng Zhou & Shuyan Xiao & Yuan Chi, 2018. "Multi-Time Scale Model Order Reduction and Stability Consistency Certification of Inverter-Interfaced DG System in AC Microgrid," Energies, MDPI, vol. 11(1), pages 1-25, January.
    13. Alizadeh Bidgoli, Mohsen & Yang, Weijia & Ahmadian, Ali, 2020. "DFIM versus synchronous machine for variable speed pumped storage hydropower plants: A comparative evaluation of technical performance," Renewable Energy, Elsevier, vol. 159(C), pages 72-86.
    14. Yang, Weijia & Norrlund, Per & Chung, Chi Yung & Yang, Jiandong & Lundin, Urban, 2018. "Eigen-analysis of hydraulic-mechanical-electrical coupling mechanism for small signal stability of hydropower plant," Renewable Energy, Elsevier, vol. 115(C), pages 1014-1025.
    15. Pérez-Díaz, Juan I. & Chazarra, M. & García-González, J. & Cavazzini, G. & Stoppato, A., 2015. "Trends and challenges in the operation of pumped-storage hydropower plants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 44(C), pages 767-784.
    16. Liu, Dong & Li, Chaoshun & Tan, Xiaoqiang & Lu, Xueding & Malik, O.P., 2021. "Damping characteristics analysis of hydropower units under full operating conditions and control parameters: Accurate quantitative evaluation based on refined models," Applied Energy, Elsevier, vol. 292(C).
    17. Ye Fengchun & Girmaw Teshager Bitew & Han Minxiao & Sun Yao & Zhang Hanhua, 2019. "Variable Speed Pump Storage for the Mitigation of SSR in Power System with Wind Generation," Complexity, Hindawi, vol. 2019, pages 1-11, December.
    18. Jafari, Mehdi & Korpås, Magnus & Botterud, Audun, 2020. "Power system decarbonization: Impacts of energy storage duration and interannual renewables variability," Renewable Energy, Elsevier, vol. 156(C), pages 1171-1185.
    19. Liu, Dong & Wang, Xin & Peng, Yunshui & Zhang, Hui & Xiao, Zhihuai & Han, Xiangdong & Malik, O.P., 2020. "Stability analysis of hydropower units under full operating conditions considering turbine nonlinearity," Renewable Energy, Elsevier, vol. 154(C), pages 723-742.
    20. Ganjefar, Soheil & Mohammadi, Ali, 2016. "Variable speed wind turbines with maximum power extraction using singular perturbation theory," Energy, Elsevier, vol. 106(C), pages 510-519.
    21. Xu, Xinyu & Guo, Wencheng, 2020. "Stability of speed regulating system of hydropower station with surge tank considering nonlinear turbine characteristics," Renewable Energy, Elsevier, vol. 162(C), pages 960-972.
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