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Energy analysis of Francis turbine for various mass flow rate conditions based on entropy production theory

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  • Yu, An
  • Tang, Yibo
  • Tang, Qinghong
  • Cai, Jianguo
  • Zhao, Lei
  • Ge, Xinfeng

Abstract

A methodology of the entropy production theory is employed in hydro turbine flows to analyze the hydraulic loss characteristics quantitatively. The entropy production theory has its distinctive superiority over than traditional pressure drop method because it calculates energy loss through integrating entire computational domain so that it can identify location of energy loss and reflect energy loss characteristics intuitively. This simulated study was implemented by commercial software ANSYS CFX with shear stress turbulence model for a Francis turbine versus various discharge conditions. After comparing with experimental data, the energy loss in different flow components was analyzed and the ability of flow parts to generate energy loss was evaluated versus various conditions quantitatively. Then, the distributions of entropy production rate (EPR) were displayed in stay&guide vanes, runner and draft tube. The conclusions indicate that draft tube is the main part generating the most energy loss compared with other parts. The energy loss fluctuation of runner was obtained and three dominant frequencies were captured with two low frequencies 11.93 [Hz], 15.9 [Hz] and one high frequency 27.83 [Hz]. This study indicates that entropy production theory can provide sufficient theoretical and engineering guidance for the energy loss analysis in hydro turbine flows.

Suggested Citation

  • Yu, An & Tang, Yibo & Tang, Qinghong & Cai, Jianguo & Zhao, Lei & Ge, Xinfeng, 2022. "Energy analysis of Francis turbine for various mass flow rate conditions based on entropy production theory," Renewable Energy, Elsevier, vol. 183(C), pages 447-458.
    • Handle: RePEc:eee:renene:v:183:y:2022:i:c:p:447-458
    DOI: 10.1016/j.renene.2021.10.094
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    1. Lihui, Xu & Tao, Guo & Wenquan, Wang, 2022. "Effects of Vortex Structure on Hydraulic Loss in a Low Head Francis Turbine under Overall Operating Conditions Base on Entropy Production Method," Renewable Energy, Elsevier, vol. 198(C), pages 367-379.
    2. Li, Puxi & Xiao, Ruofu & Tao, Ran, 2022. "Study of vortex rope based on flow energy dissipation and vortex identification," Renewable Energy, Elsevier, vol. 198(C), pages 1065-1081.
    3. Xiong, Xin & Hu, Xi & Tian, Tian & Guo, Huan & Liao, Han, 2022. "A novel Optimized initial condition and Seasonal division based Grey Seasonal Variation Index model for hydropower generation," Applied Energy, Elsevier, vol. 328(C).
    4. Weixuan Jiao & Zhishuang Li & Li Cheng & Yuqi Wang & Bowen Zhang, 2022. "Study on the Hydraulic and Energy Loss Characteristics of the Agricultural Pumping Station Caused by Hydraulic Structures," Agriculture, MDPI, vol. 12(11), pages 1-16, October.
    5. He, Jiawei & Si, Qiaorui & Sun, Wentao & Liu, Jinfeng & Miao, Senchun & Wang, Xiaohui & Wang, Peng & Wang, Chenguang, 2023. "Study on the energy loss characteristics of ultra-low specific speed PAT under different short blade lengths based on entropy production method," Energy, Elsevier, vol. 283(C).
    6. Jin, Faye & Wang, Huanmao & Luo, Yongyao & Presas, Alexandre & Bi, Huili & Wang, Zhengwei & Lin, Kai & Lei, Xingchun & Yang, Xiaolong, 2023. "Visualization research of energy dissipation in a pump turbine unit during turbine mode's starting up," Renewable Energy, Elsevier, vol. 217(C).
    7. Zhou, Ling & Hang, Jianwei & Bai, Ling & Krzemianowski, Zbigniew & El-Emam, Mahmoud A. & Yasser, Eman & Agarwal, Ramesh, 2022. "Application of entropy production theory for energy losses and other investigation in pumps and turbines: A review," Applied Energy, Elsevier, vol. 318(C).
    8. Lu, Zhaoheng & Tao, Ran & Yao, Zhifeng & Liu, Weichao & Xiao, Ruofu, 2022. "Effects of guide vane shape on the performances of pump-turbine: A comparative study in energy storage and power generation," Renewable Energy, Elsevier, vol. 197(C), pages 268-287.

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