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The theoretical predicting models of efficiency curves for pump and turbine modes

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  • Zhang, Yu-Liang
  • Huang, Hui-Fan
  • Xu, Xiao-Wei
  • Guo, Xiao-Mei
  • Zhu, Zu-Chao

Abstract

To explore performance prediction in pump and turbine operation modes, an innovative theoretical prediction model for pump-turbine efficiency curves was developed based on computational fluid dynamics (CFD). The model requires only three training datasets with high accuracy. A linear-parabolic ratio function expression for turbine efficiency curves was proposed, achieving goodness of fit (R2) consistently above 0.97. When pump efficiency curves are known, the maximum relative deviation point for predicted turbine efficiency curves is −2.9995 % at corresponding rotational speeds, with average absolute relative deviation of merely 1.47 %. When pump efficiency curves are unknown, the maximum and average absolute relative deviations reach −9.45 % and 3.89 %, respectively. The prediction model of pump efficiency curve exhibits a maximum relative deviation of −6.62 % and average relative deviation of 3.58 %. This study provides a theoretical foundation for optimizing pump-turbine system design and speed regulation, offering significant reference value for enhancing energy recovery efficiency and engineering applications.

Suggested Citation

  • Zhang, Yu-Liang & Huang, Hui-Fan & Xu, Xiao-Wei & Guo, Xiao-Mei & Zhu, Zu-Chao, 2026. "The theoretical predicting models of efficiency curves for pump and turbine modes," Renewable Energy, Elsevier, vol. 256(PE).
    • Handle: RePEc:eee:renene:v:256:y:2026:i:pe:s0960148125019925
    DOI: 10.1016/j.renene.2025.124328
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