IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v211y2023icp985-1009.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148123006006
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2023.04.134?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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).
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. 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.
    8. 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).
    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. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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).
    20. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang & Xu, Rongli, 2023. "Comprehensive stability analysis of complex hydropower system under flexible operating conditions based on a fast stability domain solving method," Energy, Elsevier, vol. 274(C).
    2. Shi, Yousong & Zhou, Jianzhong & Guo, Wencheng & Zheng, Yang & Li, Chaoshun & Zhang, Yongchuan, 2022. "Nonlinear dynamic characteristics analysis and adaptive avoid vortex-coordinated optimal control of hydropower units under grid connection," Renewable Energy, Elsevier, vol. 200(C), pages 911-930.
    3. Dong Liu & Xinxu Wei & Jingjing Zhang & Xiao Hu & Lihong Zhang, 2023. "A Parameter Sensitivity Analysis of Hydropower Units under Full Operating Conditions Considering Turbine Nonlinearity," Sustainability, MDPI, vol. 15(15), pages 1-21, July.
    4. Xu, Beibei & Zhang, Jingjing & Egusquiza, Mònica & Chen, Diyi & Li, Feng & Behrens, Paul & Egusquiza, Eduard, 2021. "A review of dynamic models and stability analysis for a hydro-turbine governing system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    5. Dong, Wenhui & Cao, Zezhou & Zhao, Pengchong & Yang, Zhenbiao & Yuan, Yichen & Zhao, Ziwen & Chen, Diyi & Wu, Yajun & Xu, Beibei & Venkateshkumar, M., 2023. "A segmented optimal PID method to consider both regulation performance and damping characteristic of hydroelectric power system," Renewable Energy, Elsevier, vol. 207(C), pages 1-12.
    6. Nan Zhang & Xiaoming Xue & Na Sun & Yanhui Gu & Wei Jiang & Chaoshun Li, 2022. "Nonlinear Modeling and Stability of a Doubly-Fed Variable Speed Pumped Storage Power Station with Surge Tank Considering Nonlinear Pump Turbine Characteristics," Energies, MDPI, vol. 15(11), pages 1-24, June.
    7. Zhang, Nan & Feng, Chen & Shan, Yahui & Sun, Na & Xue, Xiaoming & Shi, Liping, 2023. "A universal stability quantification method for grid-connected hydropower plant considering FOPI controller and complex nonlinear characteristics based on improved GWO," Renewable Energy, Elsevier, vol. 211(C), pages 874-894.
    8. 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).
    9. Xu, Pan & Fu, Wenlong & Lu, Qipeng & Zhang, Shihai & Wang, Renming & Meng, Jiaxin, 2023. "Stability analysis of hydro-turbine governing system with sloping ceiling tailrace tunnel and upstream surge tank considering nonlinear hydro-turbine characteristics," Renewable Energy, Elsevier, vol. 210(C), pages 556-574.
    10. Huang, Yifan & Yang, Weijia & Zhao, Zhigao & Han, Wenfu & Li, Yulan & Yang, Jiandong, 2023. "Dynamic modeling and favorable speed command of variable-speed pumped-storage unit during power regulation," Renewable Energy, Elsevier, vol. 206(C), pages 769-783.
    11. 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).
    12. He Wang & Zhijie Ma, 2021. "Regulation Characteristics and Load Optimization of Pump-Turbine in Variable-Speed Operation," Energies, MDPI, vol. 14(24), pages 1-21, December.
    13. Mahfoud, Rabea Jamil & Alkayem, Nizar Faisal & Zhang, Yuquan & Zheng, Yuan & Sun, Yonghui & Alhelou, Hassan Haes, 2023. "Optimal operation of pumped hydro storage-based energy systems: A compendium of current challenges and future perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 178(C).
    14. 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.
    15. Shuangqing Yan & Yang Zheng & Jinbao Chen & Yousong Shi, 2022. "Hydraulic Oscillation Analysis of the Hydropower Station with an Equivalent Circuit-Based Hydraulic Impedance Scheme," Sustainability, MDPI, vol. 14(18), pages 1-16, September.
    16. 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.
    17. Zou, Yidong & Hu, Wenqing & Xiao, Zhihuai & Wang, Yunhe & Chen, Jinbao & Zheng, Yang & Qian, Jing & Zeng, Yun, 2023. "Design of intelligent nonlinear robust controller for hydro-turbine governing system based on state-dynamic-measurement hybrid feedback linearization method," Renewable Energy, Elsevier, vol. 204(C), pages 635-651.
    18. Liu, Yi & Zhang, Jian & Liu, Zhe & Chen, Long & Yu, Xiaodong, 2022. "Surge wave characteristics for hydropower plant with upstream double surge tanks connected in series under small load disturbance," Renewable Energy, Elsevier, vol. 186(C), pages 667-676.
    19. Huang, Jingjian & Xu, Yujie & Guo, Huan & Geng, Xiaoqian & Chen, Haisheng, 2022. "Dynamic performance and control scheme of variable-speed compressed air energy storage," Applied Energy, Elsevier, vol. 325(C).
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:211:y:2023:i:c:p:985-1009. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.