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Combined effect of upstream surge chamber and sloping ceiling tailrace tunnel on dynamic performance of turbine regulating system of hydroelectric power plant

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  • Guo, Wencheng
  • Yang, Jiandong

Abstract

Based on the nonlinear mathematical model of the turbine regulating system of hydroelectric power plant with upstream surge chamber and sloping ceiling tailrace tunnel and the Hopf bifurcation theory, this paper firstly studies the dynamic performance of the turbine regulating system under 0.5 times Thoma sectional area of surge chamber, and reveals a novel dynamic performance. Then, the relationship between the two bifurcation lines and the wave superposition of upstream surge chamber and sloping ceiling tailrace tunnel is analyzed. Finally, the effect mechanisms of the wave superposition on the system stability are investigated, and the methods to improve the system stability are proposed. The results indicate that: Under the combined effect of upstream surge chamber and sloping ceiling tailrace tunnel, the dynamic performance of the turbine regulating system of hydroelectric power plant shows an obvious difference on the two sides of the critical sectional area of surge chamber. There are two bifurcation lines for the condition of 0.5 times Thoma sectional area, i.e. Bifurcation line 1 and Bifurcation line 2, which represent the stability characteristics of the flow oscillation of “penstock-sloping ceiling tailrace tunnel” and the water-level fluctuation in upstream surge chamber, respectively. The stable domain of the system is determined by Bifurcation line 2. The effect of upstream surge chamber mainly depends on its sectional area, while the effect of the sloping ceiling tailrace tunnel mainly depends on the sectional area of surge chamber, type of load disturbance and ceiling slope angle. When the stable domain is determined by Bifurcation line 1, the combined effect of upstream surge chamber and sloping ceiling tailrace tunnel on stability equals to the linear superposition of their own effects play alone. When the stable domain is determined by Bifurcation line 2, the only way to improve the system stability is to increase the sectional area of upstream surge chamber.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:99:y:2017:i:c:p:243-255
    DOI: 10.1016/j.chaos.2017.04.019
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    References listed on IDEAS

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    1. Kishor, Nand & Saini, R.P. & Singh, S.P., 2007. "A review on hydropower plant models and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(5), pages 776-796, June.
    2. Yun Zeng & Yakun Guo & Lixiang Zhang & Tianmao Xu & Hongkui Dong, 2013. "Nonlinear hydro turbine model having a surge tank," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(1), pages 12-28.
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    Citations

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    Cited by:

    1. 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.
    2. Zhu, Daoyi & Guo, Wencheng, 2019. "Critical sectional area of surge chamber considering nonlinearity of head loss of diversion tunnel and steady output of turbine," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 165-172.
    3. 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.
    4. 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.
    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. 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.
    7. 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).

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