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Governor Design for a Hydropower Plant with an Upstream Surge Tank by GA-Based Fuzzy Reduced-Order Sliding Mode

Author

Listed:
  • Chang Xu

    (College of Energy and Electricity, Hohai University, No.1 Xikang Road, Gulou District, Nanjing 210098, China
    These authors contributed equally to this work.)

  • Dianwei Qian

    (School of Control and Computer Engineering, North China Electric Power University, No.2 Beinong Road, Changping District, Beijing 102206, China
    These authors contributed equally to this work.)

Abstract

This paper investigates governor design by reduced-order sliding mode for a hydropower plant with an upstream surge tank. The governing system is made up of a tunnel, a surge tank, a penstock, a wicket gate and servomechanism, a governor, a hydro-turbine and a grid. Concerning the components of the governing system, their mathematic models are established. Then, these models are interconnected to simulate the governing system. From the viewpoint of state space in modern control theory, the governing system is partially observed, which challenges the governor design. By introducing an additional state variable, the control method of reduced-order sliding mode is proposed, where the governor design is based on a reduced-order governing system. Since the governor is applied to the original governing system, the system stability is analyzed by means of the small gain theorem. An genetic algorithm is employed to search a group of parameters of the predefined sliding surface, and a fuzzy inference system is utilized to decrease the chattering problem. Some numerical simulations are illustrated to verify the feasibility and robustness of the control method.

Suggested Citation

  • Chang Xu & Dianwei Qian, 2015. "Governor Design for a Hydropower Plant with an Upstream Surge Tank by GA-Based Fuzzy Reduced-Order Sliding Mode," Energies, MDPI, vol. 8(12), pages 1-16, November.
    • Handle: RePEc:gam:jeners:v:8:y:2015:i:12:p:12376-13457:d:59445
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    References listed on IDEAS

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    1. Salhi, Issam & Doubabi, Saïd & Essounbouli, Najib & Hamzaoui, Abdelaziz, 2010. "Application of multi-model control with fuzzy switching to a micro hydro-electrical power plant," Renewable Energy, Elsevier, vol. 35(9), pages 2071-2079.
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    4. Kishor, Nand & Saini, R.P. & Singh, S.P., 2007. "A review on hydropower plant models and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(5), pages 776-796, June.
    5. Klemen Nagode & Igor Škrjanc, 2014. "Modelling and Internal Fuzzy Model Power Control of a Francis Water Turbine," Energies, MDPI, vol. 7(2), pages 1-16, February.
    6. Kendir, Tarik Efe & Ozdamar, Aydogan, 2013. "Numerical and experimental investigation of optimum surge tank forms in hydroelectric power plants," Renewable Energy, Elsevier, vol. 60(C), pages 323-331.
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    Cited by:

    1. 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.
    2. 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.
    3. Xinran Guo & Yuanchu Cheng & Jiada Wei & Yitian Luo, 2021. "Stability Analysis of Different Regulation Modes of Hydropower Units," Energies, MDPI, vol. 14(7), pages 1-19, March.

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