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Nonlinear hydro turbine model having a surge tank

Author

Listed:
  • Yun Zeng
  • Yakun Guo
  • Lixiang Zhang
  • Tianmao Xu
  • Hongkui Dong

Abstract

This article models a hydro turbine based on the dynamic description of the hydraulic system having a surge tank and elastic water hammer. The dynamic of the hydraulic system is transformed from transfer function form into the differential equation model in relative value. This model is then combined with the motion equation of the main servomotor to form the nonlinear model of the hydro turbine, in which the power of the hydro turbine is calculated using algebraic equation. A new control model is thus proposed in which the dynamic of the surge tank is taken as an additional input of control items. As such, the complex hydraulic system is decomposed into a classical one penstock and one machine model with an additional input control. Therefore, the order of the system is descended. As a result, the feasibility of the system is largely improved. The simulated results show that the additional input of the surge tank is effective and the proposed method is realizable.

Suggested Citation

  • Yun Zeng & Yakun Guo & Lixiang Zhang & Tianmao Xu & Hongkui Dong, 2013. "Nonlinear hydro turbine model having a surge tank," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(1), pages 12-28.
    • Handle: RePEc:taf:nmcmxx:v:19:y:2013:i:1:p:12-28
    DOI: 10.1080/13873954.2012.689770
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    Citations

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    Cited by:

    1. Bao, Haiyan & Yang, Jiandong & Zhao, Guilian & Zeng, Wei & Liu, Yanna & Yang, Weijia, 2018. "Condition of setting surge tanks in hydropower plants – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P2), pages 2059-2070.
    2. Berrada, Asmae & Loudiyi, Khalid & Garde, Raquel, 2017. "Dynamic modeling of gravity energy storage coupled with a PV energy plant," Energy, Elsevier, vol. 134(C), pages 323-335.
    3. Guo, Wencheng & Yang, Jiandong, 2017. "Combined effect of upstream surge chamber and sloping ceiling tailrace tunnel on dynamic performance of turbine regulating system of hydroelectric power plant," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 243-255.
    4. Dao, Fang & Zou, Yidong & Zeng, Yun & Qian, Jing & Li, Xiang, 2023. "An intelligent CPSOGSA-based mixed H2/H∞ robust controller for the multi-hydro-turbine governing system with sharing common penstock," Renewable Energy, Elsevier, vol. 206(C), pages 481-497.
    5. Jiandong Yang & Mingjiang Wang & Chao Wang & Wencheng Guo, 2015. "Linear Modeling and Regulation Quality Analysis for Hydro-Turbine Governing System with an Open Tailrace Channel," Energies, MDPI, vol. 8(10), pages 1-16, October.
    6. Weijia Yang & Jiandong Yang & Wencheng Guo & Wei Zeng & Chao Wang & Linn Saarinen & Per Norrlund, 2015. "A Mathematical Model and Its Application for Hydro Power Units under Different Operating Conditions," Energies, MDPI, vol. 8(9), pages 1-16, September.
    7. Wencheng Guo & Daoyi Zhu, 2018. "A Review of the Transient Process and Control for a Hydropower Station with a Super Long Headrace Tunnel," Energies, MDPI, vol. 11(11), pages 1-27, November.
    8. Guo, Wencheng & Yang, Jiandong, 2018. "Dynamic performance analysis of hydro-turbine governing system considering combined effect of downstream surge tank and sloping ceiling tailrace tunnel," Renewable Energy, Elsevier, vol. 129(PA), pages 638-651.
    9. Xu, Beibei & Chen, Diyi & Zhang, Hao & Wang, Feifei, 2015. "Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 50-61.
    10. 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.
    11. Xuehai Wang & Feng Ding, 2016. "Modelling and multi-innovation parameter identification for Hammerstein nonlinear state space systems using the filtering technique," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(2), pages 113-140, March.
    12. Yuan, Xiaohui & Chen, Zhihuan & Yuan, Yanbin & Huang, Yuehua, 2015. "Design of fuzzy sliding mode controller for hydraulic turbine regulating system via input state feedback linearization method," Energy, Elsevier, vol. 93(P1), pages 173-187.
    13. Ma, Weichao & Yan, Wenjie & Yang, Jiebin & He, Xianghui & Yang, Jiandong & Yang, Weijia, 2022. "Experimental and numerical investigation on head losses of a complex throttled surge tank for refined hydropower plant simulation," Renewable Energy, Elsevier, vol. 186(C), pages 264-279.

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