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Fixed-time synergetic controller for stabilization of hydraulic turbine regulating system

Author

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  • Huang, Sunhua
  • Xiong, Linyun
  • Wang, Jie
  • Li, Penghan
  • Wang, Ziqiang
  • Ma, Meilng

Abstract

The hydraulic turbine regulating system (HTRS), which is a core part of hydropower station, is essential and significant for the safe and stabilization operation of the hydropower station. The HTRS is a highly nonlinear, strongly coupled non-minimum phase system, which is difficult and significant to design controller to maintain the frequency stability of the HTRS. In this paper, a fixed-time synergetic controller (FTSC) is proposed to make the frequency of the HTRS stable for small and medium-size power stations in an upper bound time. The input/output feedback linearization is implemented to establish the relationship between the frequency of HTRS and the control input. An FTSC is presented based on the Lyapunov stability theory, synergetic control theory, and fixed-time stability theory. Besides, the proposed FTSC can ensure the frequency stability of HTRS in a limited and quantifiable convergence time, which is not dependent on the initial operating condition and thus overcoming the shortcoming of finite-time stability. Finally, comparative simulations between the proposed FTSC, PID, and sliding mode control (SMC) are presented. Meanwhile, the effects of different hydraulic-mechanical parameters are considered. The results validate the effectiveness and the superior performance of the proposed FTSC over existing PID and SMC under various operating conditions.

Suggested Citation

  • Huang, Sunhua & Xiong, Linyun & Wang, Jie & Li, Penghan & Wang, Ziqiang & Ma, Meilng, 2020. "Fixed-time synergetic controller for stabilization of hydraulic turbine regulating system," Renewable Energy, Elsevier, vol. 157(C), pages 1233-1242.
    • Handle: RePEc:eee:renene:v:157:y:2020:i:c:p:1233-1242
    DOI: 10.1016/j.renene.2020.05.071
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    References listed on IDEAS

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    1. Chen, Zhihuan & Yuan, Xiaohui & Yuan, Yanbin & Lei, Xiaohui & Zhang, Binqiao, 2019. "Parameter estimation of fuzzy sliding mode controller for hydraulic turbine regulating system based on HICA algorithm," Renewable Energy, Elsevier, vol. 133(C), pages 551-565.
    2. Yuan, Xiaohui & Chen, Zhihuan & Yuan, Yanbin & Huang, Yuehua & Li, Xianshan & Li, Wenwu, 2016. "Sliding mode controller of hydraulic generator regulating system based on the input/output feedback linearization method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 119(C), pages 18-34.
    3. Hussain, Abid & Sarangi, Gopal K. & Pandit, Anju & Ishaq, Sultan & Mamnun, Nabir & Ahmad, Bashir & Jamil, Muhammad Khalid, 2019. "Hydropower development in the Hindu Kush Himalayan region: Issues, policies and opportunities," Renewable and Sustainable Energy Reviews, Elsevier, vol. 107(C), pages 446-461.
    4. 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.
    5. 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.
    6. Huang, Sunhua & Zhou, Bin & Bu, Siqi & Li, Canbing & Zhang, Cong & Wang, Huaizhi & Wang, Tao, 2019. "Robust fixed-time sliding mode control for fractional-order nonlinear hydro-turbine governing system," Renewable Energy, Elsevier, vol. 139(C), pages 447-458.
    7. 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.
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    Cited by:

    1. He Wang & Zhijie Ma, 2021. "Regulation Characteristics and Load Optimization of Pump-Turbine in Variable-Speed Operation," Energies, MDPI, vol. 14(24), pages 1-21, December.
    2. Marlene A. Perez-Villalpando & Kelly J. Gurubel Tun & Carlos A. Arellano-Muro & Fernando Fausto, 2021. "Inverse Optimal Control Using Metaheuristics of Hydropower Plant Model via Forecasting Based on the Feature Engineering," Energies, MDPI, vol. 14(21), pages 1-18, November.
    3. Kanchanaharuthai, Adirak & Mujjalinvimut, Ekkachai, 2022. "Fixed-time command-filtered backstepping control design for hydraulic turbine regulating systems," Renewable Energy, Elsevier, vol. 184(C), pages 1091-1103.

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