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Linear Modeling and Regulation Quality Analysis for Hydro-Turbine Governing System with an Open Tailrace Channel

Author

Listed:
  • Jiandong Yang

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China)

  • Mingjiang Wang

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
    HYDROCHINA Northwest Engineering Corporation, Xi’an 710065, China)

  • Chao Wang

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China)

  • Wencheng Guo

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
    Maha Fluid Power Research Center, Agricultural and Biological Engineering Department, Purdue University, West Lafayette, IN 47907, USA)

Abstract

On the basis of the state–space method (SSM), a novel linear mathematical model of the unsteady flow for the tailrace system with an open channel is proposed. This novel model is an elastic linearized model of water hammer. The validity of the model has been verified by several examples of numerical simulation, which are based on a finite difference technique. Then, the complete mathematical model for the hydro-turbine governing system of hydropower station with an open tailrace channel, which is used for simulating the transient process of the hydro-turbine governing system under load disturbance, is established by combining the models of hydro-turbine, generator, governor and open tailrace channel. Finally, according to the complete model, the regulation quality for hydro-turbine governing system with an open tailrace channel under load disturbance is studied, and the effects of open tailrace channel and tailrace surge tank on regulation quality are analyzed. The results indicate that: The open tailrace channel has a strong influence on the regulation quality by observing the water level fluctuations in tailrace surge tank. The surge shows a piecewise periodical change along with the variation in the length of an open channel. The open tailrace channel can be used to improve the regulation quality of hydro-turbine governing system.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:8:y:2015:i:10:p:11702-11717:d:57343
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    References listed on IDEAS

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    Cited by:

    1. Hu, Jinhong & Yang, Jiebin & He, Xianghui & Zhao, Zhigao & Yang, Jiandong, 2023. "Transient analysis of a hydropower plant with a super-long headrace tunnel during load acceptance: Instability mechanism and measurement verification," Energy, Elsevier, vol. 263(PA).
    2. Liu, Yi & Zhang, Jian & Liu, Zhe & Chen, Long & Yu, Xiaodong, 2022. "Surge wave characteristics for hydropower plant with upstream double surge tanks connected in series under small load disturbance," Renewable Energy, Elsevier, vol. 186(C), pages 667-676.
    3. Chen, Jinbao & Zheng, Yang & Liu, Dong & Du, Yang & Xiao, Zhihuai, 2023. "Quantitative stability analysis of complex nonlinear hydraulic turbine regulation system based on accurate calculation," Applied Energy, Elsevier, vol. 351(C).
    4. 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.
    5. Jianzhong Zhou & Zhigao Zhao & Chu Zhang & Chaoshun Li & Yanhe Xu, 2017. "A Real-Time Accurate Model and Its Predictive Fuzzy PID Controller for Pumped Storage Unit via Error Compensation," Energies, MDPI, vol. 11(1), pages 1-24, December.
    6. Wencheng Guo, 2019. "A Review of the Hydraulic Transient and Dynamic Behavior of Hydropower Plants with Sloping Ceiling Tailrace Tunnels," Energies, MDPI, vol. 12(17), pages 1-28, August.
    7. Wuyi Wan & Boran Zhang, 2018. "Investigation of Water Hammer Protection in Water Supply Pipeline Systems Using an Intelligent Self-Controlled Surge Tank," Energies, MDPI, vol. 11(6), pages 1-16, June.
    8. Yu, Xiaodong & Yang, Xiuwei & Zhang, Jian, 2019. "Stability analysis of hydro-turbine governing system including surge tanks under interconnected operation during small load disturbance," Renewable Energy, Elsevier, vol. 133(C), pages 1426-1435.
    9. Yu, Xiaodong & Zhang, Jian & Fan, Chengyu & Chen, Sheng, 2016. "Stability analysis of governor-turbine-hydraulic system by state space method and graph theory," Energy, Elsevier, vol. 114(C), pages 613-622.
    10. Lisheng Li & Jing Qian & Yidong Zou & Danning Tian & Yun Zeng & Fei Cao & Xiang Li, 2022. "Optimized Takagi–Sugeno Fuzzy Mixed H 2 / H ∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System," Energies, MDPI, vol. 15(13), pages 1-31, June.

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