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Design of fuzzy sliding mode controller for hydraulic turbine regulating system via input state feedback linearization method

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  • Yuan, Xiaohui
  • Chen, Zhihuan
  • Yuan, Yanbin
  • Huang, Yuehua

Abstract

The HTRS (hydraulic turbine regulating system) plays an important role in hydropower electricity generating and safe operation of water turbine. In this paper, a novel approach to the LFC (load frequency control) is presented for the HTRS system. This approach combines sliding mode control with fuzzy logic control, where the robustness of the controller is guaranteed by a predefined sliding surface and chattering phenomenon is alleviated by the fuzzy logics. The dynamic model of a hydropower plant is developed with the consideration of inner perturbations and external noises of this system. Based on input state feedback linearization method, the relationship between reference output and control output is established. Simulations of an example HTRS system respect to the dynamical behaviors analysis without controller, fixed point stabilization, periodic orbit tracking and robustness test against random noises have been carried out by using the optimal PID (proportional–integral–derivative) controller, conventional SMC (sliding mode controller) and proposed FSMC (fuzzy sliding mode controller) for evaluating the validity and effectiveness of different controllers. The results indicated that the proposed FSMC controller was excellent from the standpoint of system performance and stability for LFC control of the nonlinear HTRS system with uncertainties.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:93:y:2015:i:p1:p:173-187
    DOI: 10.1016/j.energy.2015.09.025
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    1. 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.
    2. Liu, Dong & Wang, Xin & Peng, Yunshui & Zhang, Hui & Xiao, Zhihuai & Han, Xiangdong & Malik, O.P., 2020. "Stability analysis of hydropower units under full operating conditions considering turbine nonlinearity," Renewable Energy, Elsevier, vol. 154(C), pages 723-742.
    3. Andrey Achitaev & Pavel Ilyushin & Konstantin Suslov & Sergey Kobyletski, 2022. "Dynamic Simulation of Starting and Emergency Conditions of a Hydraulic Unit Based on a Francis Turbine," Energies, MDPI, vol. 15(21), pages 1-18, October.
    4. Zhu, Daoyi & Guo, Wencheng, 2019. "Critical sectional area of surge chamber considering nonlinearity of head loss of diversion tunnel and steady output of turbine," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 165-172.
    5. Zhang, Binqiao & Yuan, Xiaohui & Yuan, Yanbin & Wang, Xu, 2018. "An active perceivable device–oriented modeling framework for hydropower plant simulation," Energy, Elsevier, vol. 165(PB), pages 1009-1023.
    6. 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.
    7. Song, Ziyou & Hou, Jun & Hofmann, Heath & Li, Jianqiu & Ouyang, Minggao, 2017. "Sliding-mode and Lyapunov function-based control for battery/supercapacitor hybrid energy storage system used in electric vehicles," Energy, Elsevier, vol. 122(C), pages 601-612.
    8. Tingkai Gong & Xiaohui Yuan & Xu Wang & Yanbin Yuan & Binqiao Zhang, 2020. "Fault diagnosis for rolling element bearing using variational mode decomposition and l1 trend filtering," Journal of Risk and Reliability, , vol. 234(1), pages 116-128, February.
    9. 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.
    10. 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.
    11. Yang, Weijia & Norrlund, Per & Chung, Chi Yung & Yang, Jiandong & Lundin, Urban, 2018. "Eigen-analysis of hydraulic-mechanical-electrical coupling mechanism for small signal stability of hydropower plant," Renewable Energy, Elsevier, vol. 115(C), pages 1014-1025.
    12. 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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