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Dynamic performance analysis of hydro-turbine governing system considering combined effect of downstream surge tank and sloping ceiling tailrace tunnel

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  • Guo, Wencheng
  • Yang, Jiandong

Abstract

This paper aims to analyze the nonlinear dynamic characteristics of hydro-turbine governing system with downstream surge tank and sloping ceiling tailrace tunnel and reveal their combined effect mechanism on stability. First, the nonlinear mathematical model of hydro-turbine governing system is presented. Second, the Hopf bifurcation theory is adopted, and the stability performances of hydro-turbine governing system under different sectional areas of downstream surge tank are analyzed and verified. Finally, the combined effect of downstream surge tank and sloping ceiling tailrace tunnel on stability is investigated and the design methods are proposed. The results indicate that: The dynamic response process of hydro-turbine governing system shows an obvious characteristic of wave superposition. Two types of bifurcation lines reflect the critical stability characteristics of the two subsystems and constitute the boundaries of the stable domain. The sloping ceiling tailrace tunnel cannot make an obvious change of the stability performances of the subsystem of penstock - hydro-turbine unit, but it has significant effect on the stability performances of the subsystem of downstream surge tank - sloping ceiling tailrace tunnel. The larger aspect ratio or smaller ceiling slope gradient results in better stability of the subsystem of downstream surge tank - sloping ceiling tailrace tunnel.

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  • Guo, Wencheng & Yang, Jiandong, 2018. "Dynamic performance analysis of hydro-turbine governing system considering combined effect of downstream surge tank and sloping ceiling tailrace tunnel," Renewable Energy, Elsevier, vol. 129(PA), pages 638-651.
    • Handle: RePEc:eee:renene:v:129:y:2018:i:pa:p:638-651
    DOI: 10.1016/j.renene.2018.06.040
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    Cited by:

    1. Hu, Jinhong & Yang, Jiebin & He, Xianghui & Zhao, Zhigao & Yang, Jiandong, 2023. "Transient analysis of a hydropower plant with a super-long headrace tunnel during load acceptance: Instability mechanism and measurement verification," Energy, Elsevier, vol. 263(PA).
    2. 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.
    3. Yuqiang Tian & Bin Wang & Diyi Chen & Shaokun Wang & Peng Chen & Ying Yang, 2019. "Design of a Nonlinear Predictive Controller for a Fractional-Order Hydraulic Turbine Governing System with Mechanical Time Delay," Energies, MDPI, vol. 12(24), pages 1-16, December.
    4. 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).
    5. Guo, Wencheng & Zhu, Daoyi, 2020. "Setting condition of downstream surge tank of hydropower station with sloping ceiling tailrace tunnel," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    6. Zhang, Hao & Guo, Pengcheng & Sun, Longgang, 2020. "Transient analysis of a multi-unit pumped storage system during load rejection process," Renewable Energy, Elsevier, vol. 152(C), pages 34-43.
    7. Andrey Achitaev & Pavel Ilyushin & Konstantin Suslov & Sergey Kobyletski, 2022. "Dynamic Simulation of Starting and Emergency Conditions of a Hydraulic Unit Based on a Francis Turbine," Energies, MDPI, vol. 15(21), pages 1-18, October.
    8. Wencheng Guo, 2018. "Nonlinear Disturbance Decoupling Control for Hydro-Turbine Governing System with Sloping Ceiling Tailrace Tunnel Based on Differential Geometry Theory," Energies, MDPI, vol. 11(12), pages 1-21, November.
    9. Wencheng Guo & Daoyi Zhu, 2018. "A Review of the Transient Process and Control for a Hydropower Station with a Super Long Headrace Tunnel," Energies, MDPI, vol. 11(11), pages 1-27, November.
    10. Wencheng Guo, 2019. "A Review of the Hydraulic Transient and Dynamic Behavior of Hydropower Plants with Sloping Ceiling Tailrace Tunnels," Energies, MDPI, vol. 12(17), pages 1-28, August.
    11. 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.
    12. Wencheng Guo & Yang Liu & Fangle Qu & Xinyu Xu, 2020. "A Review of Critical Stable Sectional Areas for the Surge Tanks of Hydropower Stations," Energies, MDPI, vol. 13(23), pages 1-25, December.
    13. Vinod, J. & Sarkar, Bikash K. & Sanyal, Dipankar, 2022. "Flow control in a small Francis turbine by system identification and fuzzy adaptation of PID and deadband controllers," Renewable Energy, Elsevier, vol. 201(P2), pages 87-99.
    14. Okulov, V.L. & Naumov, I.V. & Kabardin, I.K. & Litvinov, I.V. & Markovich, D.M. & Mikkelsen, R.F. & Sørensen, J.N. & Alekseenko, S.V. & Wood, D.H., 2021. "Experiments on line arrays of horizontal-axis hydroturbines," Renewable Energy, Elsevier, vol. 163(C), pages 15-21.
    15. Zhou, Jianxu & Mao, Yutong & Shen, Aili & Zhang, Jian, 2023. "Modeling and stability investigation on the governor-turbine-hydraulic system with a ceiling-sloping tail tunnel," Renewable Energy, Elsevier, vol. 204(C), pages 812-822.
    16. 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.
    17. Ma, Weichao & Yan, Wenjie & Yang, Jiebin & He, Xianghui & Yang, Jiandong & Yang, Weijia, 2022. "Experimental and numerical investigation on head losses of a complex throttled surge tank for refined hydropower plant simulation," Renewable Energy, Elsevier, vol. 186(C), pages 264-279.

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