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Mathematical model and parametric uncertainty analysis of a hydraulic generating system

Author

Listed:
  • Xu, Beibei
  • Chen, Diyi
  • Patelli, Edoardo
  • Shen, Haijun
  • Park, Jae-Hyun

Abstract

Conversion efficiency and unit vibration are two important indexes in evaluating the stability of hydraulic generating systems (HGSs). Most of related studies have been carried out in the deterministic theory framework. As running times of HGS increased, understanding uncertainties and limitations of model parameters are important for accurate modeling and stability evaluation. In this study, first, we establish an integrated model of a HGS by proposing unbalanced hydraulic forces based on the Kutta-Zhoukowski assumption. Second, global sensitivity and parametric interactions for conversion efficiency and unit vibration are investigated based on this model. Finally, the novel unified model is verified with two conventional models. This integrated and accurate mathematical model is a major advance in the diagnosis and prediction of failures in hydropower operation.

Suggested Citation

  • Xu, Beibei & Chen, Diyi & Patelli, Edoardo & Shen, Haijun & Park, Jae-Hyun, 2019. "Mathematical model and parametric uncertainty analysis of a hydraulic generating system," Renewable Energy, Elsevier, vol. 136(C), pages 1217-1230.
    • Handle: RePEc:eee:renene:v:136:y:2019:i:c:p:1217-1230
    DOI: 10.1016/j.renene.2018.09.095
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    References listed on IDEAS

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    Cited by:

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    5. Xu, Beibei & Chen, Diyi & Venkateshkumar, M. & Xiao, Yu & Yue, Yan & Xing, Yanqiu & Li, Peiquan, 2019. "Modeling a pumped storage hydropower integrated to a hybrid power system with solar-wind power and its stability analysis," Applied Energy, Elsevier, vol. 248(C), pages 446-462.
    6. Yan, Donglin & Zheng, Yang & Liu, Wanying & Chen, Tianya & Chen, Qijuan, 2022. "Interval uncertainty analysis of vibration response of hydroelectric generating unit based on Chebyshev polynomial," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    7. Alizadeh Bidgoli, Mohsen & Yang, Weijia & Ahmadian, Ali, 2020. "DFIM versus synchronous machine for variable speed pumped storage hydropower plants: A comparative evaluation of technical performance," Renewable Energy, Elsevier, vol. 159(C), pages 72-86.
    8. Barbosa de Santis, Rodrigo & Silveira Gontijo, Tiago & Azevedo Costa, Marcelo, 2021. "Condition-based maintenance in hydroelectric plants: A systematic literature review," MPRA Paper 115912, University Library of Munich, Germany.
    9. Dong Liu & Xinxu Wei & Jingjing Zhang & Xiao Hu & Lihong Zhang, 2023. "A Parameter Sensitivity Analysis of Hydropower Units under Full Operating Conditions Considering Turbine Nonlinearity," Sustainability, MDPI, vol. 15(15), pages 1-21, July.

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