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A method of evaluating the vortex rope strength in draft tube of Francis turbine

Author

Listed:
  • Cheng, Huan
  • Zhou, Lingjiu
  • Liang, Quanwei
  • Guan, Ziwu
  • Liu, Demin
  • Wang, Zhaoning
  • Kang, Wenzhe

Abstract

A precessing vortex core in the draft tube of Francis turbine is considered as unstable flow conditions and the cause of many undesirable system instabilities for hydraulic power stations. The feature of vortex rope, pressure fluctuations and runner outlet velocity at part-load conditions are investigated experimentally and numerically in this paper. An obvious vortex rope could be observed at 0.88Q11BEP point and produces the most intensive periodic pressure fluctuation at the vortex rotation frequency fv along the whole passage of Francis turbine. At other conditions away from this point, the vortex rope becomes unobvious or even invisible, and the associated pressure fluctuation amplitude also reduces. This trend could be well represented by the new parameters G and Vs, which could be used to determine the strength of helical vortex field based on the gradient of time-averaged velocity on horizontal section of the draft tube cone. Transient simulations using VLES turbulence model could obtain satisfying results by comparing with experimental data, especially in terms of the time-averaged axial velocity profile resolution. Therefore, this new method enables the designers to evaluate vortex strength in engineering applications.

Suggested Citation

  • Cheng, Huan & Zhou, Lingjiu & Liang, Quanwei & Guan, Ziwu & Liu, Demin & Wang, Zhaoning & Kang, Wenzhe, 2020. "A method of evaluating the vortex rope strength in draft tube of Francis turbine," Renewable Energy, Elsevier, vol. 152(C), pages 770-780.
    • Handle: RePEc:eee:renene:v:152:y:2020:i:c:p:770-780
    DOI: 10.1016/j.renene.2020.01.020
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    Citations

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    Cited by:

    1. Zhou, Xing & Hu, Xinyi & Huang, Quanshui & Wu, Hegao & Tang, Xiaodan & Cervantes, Michel J., 2024. "Optimization design of an innovative francis draft tube: Insight into improving operational flexibility," Energy, Elsevier, vol. 299(C).
    2. Wen-Tao Su & Wei Zhao & Maxime Binama & Yue Zhao & Jian-Ying Huang & Xue-Ren Chen, 2022. "Experimental Francis Turbine Cavitation Performances of a Hydro-Energy Plant," Sustainability, MDPI, vol. 14(6), pages 1-20, March.
    3. Shiraghaee, Shahab & Sundström, Joel & Raisee, Mehrdad & Cervantes, Michel J., 2024. "Extending the operating range of axial turbines with the protrusion of radially adjustable flat plates: An experimental investigation," Renewable Energy, Elsevier, vol. 225(C).
    4. Wang, Huan & Li, Wenfeng & Hou, Yaochun & Wu, Peng & Huang, Bin & Wu, Kelin & Wu, Dazhuan, 2023. "Recognition of the developing vortex rope in Francis turbine draft tube based on PSO-CS2," Renewable Energy, Elsevier, vol. 217(C).
    5. Zhumei Luo & Cong Nie & Shunli Lv & Tao Guo & Suoming Gao, 2022. "The Effect of J-Groove on Vortex Suppression and Energy Dissipation in a Draft Tube of Francis Turbine," Energies, MDPI, vol. 15(5), pages 1-20, February.
    6. He, Xianghui & Yang, Jiandong & Yang, Jiebin & Zhao, Zhigao & Hu, Jinhong & Peng, Tao, 2023. "Evolution mechanism of water column separation in pump turbine: Model experiment and occurrence criterion," Energy, Elsevier, vol. 265(C).
    7. Kim, Seung-Jun & Yang, Hyeon-Mo & Park, Jungwan & Kim, Jin-Hyuk, 2022. "Investigation of internal flow characteristics by a Thoma number in the turbine mode of a Pump–Turbine model under high flow rate," Renewable Energy, Elsevier, vol. 199(C), pages 445-461.
    8. Lei Wang & Jiayi Cui & Lingfeng Shu & Denghui Jiang & Chun Xiang & Linwei Li & Peijian Zhou, 2022. "Research on the Vortex Rope Control Techniques in Draft Tube of Francis Turbines," Energies, MDPI, vol. 15(24), pages 1-27, December.
    9. Su, Wen-Tao & Binama, Maxime & Li, Yang & Zhao, Yue, 2020. "Study on the method of reducing the pressure fluctuation of hydraulic turbine by optimizing the draft tube pressure distribution," Renewable Energy, Elsevier, vol. 162(C), pages 550-560.

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