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Setting condition of downstream surge tank of hydropower station with sloping ceiling tailrace tunnel

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  • Guo, Wencheng
  • Zhu, Daoyi

Abstract

This paper aims to study the setting condition of downstream surge tank (SCDST) of hydropower station with sloping ceiling tailrace tunnel (SCTT). Firstly, the mathematical model of hydro-turbine governing system (HTGS) with SCTT is established and a third order nonlinear state equation is obtained. Then, the stability of HTGS with SCTT is analyzed based on Lyapunov's first method. SCDST based on stability of HTGS with SCTT is derived based on the stability criterion. Finally, the characteristics and influence of SCDST based on stability of HTGS with SCTT are analyzed. The difference and relation between SCDST based on stability of HTGS with SCTT and SCDST based on stability of HTGS with pressurized tailrace tunnel (PTT) are revealed by using comparative analysis. The results indicate that the complete SCDST based on stability of HTGS with SCTT is composed of several inequalities. One of the inequalities is the dominant inequality and determines the stable domain of HTGS and the allowable value of flow inertia. The flow inertia of penstock corresponding to the endpoint of inequality interval is the allowable value of flow inertia that the downstream surge tank is not necessary to set. The section shape of SCTT almost has no effect on the SCDST. From the view of SCDST for hydropower station with SCTT, it is reasonable that the slope of SCTT takes small value. The allowable value of flow inertia of penstock for hydropower station with SCTT is greater than that for hydropower station with PTT.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301004
    DOI: 10.1016/j.chaos.2020.109698
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    References listed on IDEAS

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    1. 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.
    2. Peng, Zhiyuan & Guo, Wencheng, 2019. "Saturation characteristics for stability of hydro-turbine governing system with surge tank," Renewable Energy, Elsevier, vol. 131(C), pages 318-332.
    3. 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.
    4. Guo, Wencheng & Yang, Jiandong, 2017. "Hopf bifurcation control of hydro-turbine governing system with sloping ceiling tailrace tunnel using nonlinear state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 426-434.
    5. Guo, Wencheng & Yang, Jiandong, 2017. "Combined effect of upstream surge chamber and sloping ceiling tailrace tunnel on dynamic performance of turbine regulating system of hydroelectric power plant," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 243-255.
    6. 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.
    7. 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.
    8. Xu, Beibei & Chen, Diyi & Patelli, Edoardo & Shen, Haijun & Park, Jae-Hyun, 2019. "Mathematical model and parametric uncertainty analysis of a hydraulic generating system," Renewable Energy, Elsevier, vol. 136(C), pages 1217-1230.
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    Cited by:

    1. Wang, Le & Guo, Wencheng, 2022. "Nonlinear hydraulic coupling characteristics and energy conversion mechanism of pipeline - surge tank system of hydropower station with super long headrace tunnel," Renewable Energy, Elsevier, vol. 199(C), pages 1345-1360.
    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. Liu, Yi & Zhang, Jian & Chen, Sheng & Yu, Xiaodong, 2023. "Stability analysis and estimation of domain of attraction for hydropower station with surge tank," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. 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.
    5. Yan, Donglin & Zheng, Yang & Liu, Wanying & Chen, Tianya & Chen, Qijuan, 2022. "Interval uncertainty analysis of vibration response of hydroelectric generating unit based on Chebyshev polynomial," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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