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A nonlinear generalized predictive control for pumped storage unit

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  • Li, Chaoshun
  • Mao, Yifeng
  • Yang, Jiandong
  • Wang, Zanbin
  • Xu, Yanhe

Abstract

In this paper, the control problem of pumped storage unit (PSU) has been studied. A nonlinear generalized predictive control (NGPC) method has been applied to design the controller for a PSU. The NGPC controller is designed based on instantaneous linearization model of the control system, and the parameters of the linearized model are identified online by the recursive least square method (RLSM). Besides, in order to minimize the modelling error on initial state, a prior-knowledge learning method has been proposed to get the initial parameters for control model estimation. To verify the effectiveness of the NGPC controller, we chose a pumped-storage hydropower plant in China as the experimental subject and the simulation experiments respect to the control system are designed. The processes of start-up and speed disturbance under no-load condition have been simulated to testify the robustness and efficiency of the NGPC controller. Comparative experiments have been conducted, while the NGPC controller, a PID controller and a fractional order PID (FOPID) controller have been compared. Experimental results show that the designed NGPC could effectively restrain the oscillation of rotational speed in different working conditions of PSU and demonstrates higher robustness and stability than both the PID and FOPID controllers.

Suggested Citation

  • Li, Chaoshun & Mao, Yifeng & Yang, Jiandong & Wang, Zanbin & Xu, Yanhe, 2017. "A nonlinear generalized predictive control for pumped storage unit," Renewable Energy, Elsevier, vol. 114(PB), pages 945-959.
    • Handle: RePEc:eee:renene:v:114:y:2017:i:pb:p:945-959
    DOI: 10.1016/j.renene.2017.07.055
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    2. Truijen, Daan P.K. & Ansorena Ruiz, Ruben & Hoffstaedt, Justus & Schürenkamp, David & Goseberg, Nils & Jarquin Laguna, Antonio & Stockman, Kurt & De Kooning, Jeroen D.M., 2025. "Dynamic power response shaping using adaptive constraints in feedback control of a contra-rotating pump–turbine," Energy, Elsevier, vol. 331(C).
    3. Huang, Yifan & Yang, Weijia & Zhao, Zhigao & Han, Wenfu & Li, Yulan & Yang, Jiandong, 2023. "Dynamic modeling and favorable speed command of variable-speed pumped-storage unit during power regulation," Renewable Energy, Elsevier, vol. 206(C), pages 769-783.
    4. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Nan, 2019. "Multi-objective optimization of the closure law of guide vanes for pumped storage units," Renewable Energy, Elsevier, vol. 139(C), pages 302-312.
    5. Zanbin Wang & Chaoshun Li & Xinjie Lai & Nan Zhang & Yanhe Xu & Jinjiao Hou, 2018. "An Integrated Start-Up Method for Pumped Storage Units Based on a Novel Artificial Sheep Algorithm," Energies, MDPI, vol. 11(1), pages 1-29, January.
    6. Jinjiao Hou & Chaoshun Li & Ziqin Tian & Yanhe Xu & Xinjie Lai & Nan Zhang & Taoping Zheng & Wei Wu, 2018. "Multi-Objective Optimization of Start-up Strategy for Pumped Storage Units," Energies, MDPI, vol. 11(5), pages 1-19, May.
    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. Feng, Chen & Zheng, Yuan & Li, Chaoshun & Mai, Zijun & Wu, Wei & Chen, Huixiang, 2021. "Cost advantage of adjustable-speed pumped storage unit for daily operation in distributed hybrid system," Renewable Energy, Elsevier, vol. 176(C), pages 1-10.
    9. Jianzhong Zhou & Yang Zheng & Yanhe Xu & Han Liu & Diyi Chen, 2018. "A Heuristic T-S Fuzzy Model for the Pumped-Storage Generator-Motor Using Variable-Length Tree-Seed Algorithm-Based Competitive Agglomeration," Energies, MDPI, vol. 11(4), pages 1-25, April.
    10. 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.
    11. Hoffstaedt, J.P. & Truijen, D.P.K. & Fahlbeck, J. & Gans, L.H.A. & Qudaih, M. & Laguna, A.J. & De Kooning, J.D.M. & Stockman, K. & Nilsson, H. & Storli, P.-T. & Engel, B. & Marence, M. & Bricker, J.D., 2022. "Low-head pumped hydro storage: A review of applicable technologies for design, grid integration, control and modelling," Renewable and Sustainable Energy Reviews, Elsevier, vol. 158(C).
    12. 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.
    13. Xu, Beibei & Jun, Hong-Bae & Chen, Diyi & Li, Huanhuan & Zhang, Jingjing & Cavalcante Blanco, Claudio Jose & Shen, Haijun, 2019. "Stability analysis of a hydro-turbine governing system considering inner energy losses," Renewable Energy, Elsevier, vol. 134(C), pages 258-266.
    14. Yan, Shuangqing & Yin, Xiuxing & Zheng, Yang, 2024. "Nonlinear state-space modeling and optimal tracking control for pumped storage units," Applied Energy, Elsevier, vol. 373(C).
    15. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Yongchuan & Li, Yonggang, 2020. "A multi-objective optimization strategy for the optimal control scheme of pumped hydropower systems under successive load rejections," Applied Energy, Elsevier, vol. 261(C).
    16. Fu, Jianing & Yu, Xiangyang & Gao, Chunyang & Cui, Junda & Li, Youting, 2022. "Nonsingular fast terminal control for the DFIG-based variable-speed hydro-unit," Energy, Elsevier, vol. 244(PA).
    17. Zhang, Nan & Feng, Chen & Shan, Yahui & Sun, Na & Xue, Xiaoming & Shi, Liping, 2023. "A universal stability quantification method for grid-connected hydropower plant considering FOPI controller and complex nonlinear characteristics based on improved GWO," Renewable Energy, Elsevier, vol. 211(C), pages 874-894.
    18. Li, Huanhuan & Chen, Diyi & Arzaghi, Ehsan & Abbassi, Rouzbeh & Xu, Beibei & Patelli, Edoardo & Tolo, Silvia, 2018. "Safety assessment of hydro-generating units using experiments and grey-entropy correlation analysis," Energy, Elsevier, vol. 165(PA), pages 222-234.
    19. Yuqiang Tian & Bin Wang & Diyi Chen & Shaokun Wang & Peng Chen & Ying Yang, 2019. "Design of a Nonlinear Predictive Controller for a Fractional-Order Hydraulic Turbine Governing System with Mechanical Time Delay," Energies, MDPI, vol. 12(24), pages 1-16, December.
    20. Chen, Jinbao & Liu, Shaohua & Wang, Yunhe & Hu, Wenqing & Zou, Yidong & Zheng, Yang & Xiao, Zhihuai, 2024. "Generalized predictive control application scheme for nonlinear hydro-turbine regulation system: Based on a precise novel control structure," Energy, Elsevier, vol. 296(C).
    21. Yonggang Li & Jinjiao Hou & Juan Gu & Chaoshun Li & Yanhe Xu, 2022. "Dynamic Characteristics and Successive Start-Up Control Strategy Optimization of Pumped Storage Units under Low-Head Extreme Conditions," Energies, MDPI, vol. 15(15), pages 1-19, July.
    22. 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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