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Critical sectional area of surge chamber considering nonlinearity of head loss of diversion tunnel and steady output of turbine

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  • Zhu, Daoyi
  • Guo, Wencheng

Abstract

This paper aims to study the critical sectional area (CSA) of surge chamber considering the nonlinearity of head loss of diversion tunnel and steady output of turbine. Firstly, three basic equations for hydropower station with surge chamber are established. Four mathematical models for the derivation of CSA of surge chamber are constructed. Then, the stability of hydropower station with surge chamber is analyzed by Hopf bifurcation. Based on the critical stable state of hydropower station, the formulas for the CSA of surge chamber are derived. Finally, the verification and comparison of different CSAs are conducted. The correctness and rationality of obtained formulas are explained. The results indicate that, under load increase operation condition, both the nonlinearity of head loss of diversion tunnel and nonlinearity of steady output of turbine can reduce the value of CSA of surge chamber and are favorable for the stability of hydropower station. Under load decrease operation condition, the rules are opposite. Under both load increase and load decrease operation conditions, the effect of the nonlinearity of head loss of diversion tunnel on CSA of surge chamber is much more significant than that of the nonlinearity of steady output of turbine. The formula for CSA of surge chamber considering both the nonlinearity of head loss of diversion tunnel and nonlinearity of steady output of turbine can be expressed as an amplification coefficient times of the Thoma formula. That formula has a higher precision than Thoma formula.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:127:y:2019:i:c:p:165-172
    DOI: 10.1016/j.chaos.2019.06.040
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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. Yi Liu & Xiaodong Yu & Xinlei Guo & Wenlong Zhao & Sheng Chen, 2023. "Operational Stability of Hydropower Plant with Upstream and Downstream Surge Chambers during Small Load Disturbance," Energies, MDPI, vol. 16(11), pages 1-13, June.
    4. 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.
    5. 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.
    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).
    8. Wei Huang & Jiming Ma & Xinlei Guo & Huokun Li & Jiazhen Li & Gang Wang, 2021. "Stability Criterion for Mass Oscillation in the Surge Tank of a Hydropower Station Considering Velocity Head and Throttle Loss," Energies, MDPI, vol. 14(17), pages 1-19, August.

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