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Hydropower system operation stability considering the coupling effect of water potential energy in surge tank and power grid

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  • Guo, Wencheng
  • Peng, Zhiyuan

Abstract

This paper aims to study the hydropower system operation stability considering the coupling effect of water potential energy in surge tank and power grid. Firstly, the mathematical formulation for hydropower system with surge tank that connected to power grid is established. Then, the hydropower system operation stability is investigated. The coupling effect mechanism of surge tank and power grid on stability is revealed. Finally, the formula for critical stable sectional area (CSSA) of surge tank considering power grid is derived and analyzed. The results indicate that the free vibration equation for hydropower system with surge tank that connected to power grid under step load disturbance is a ninth order linear homogeneous differential equation. The domain at the bottom left corner of the critical line on the Proportional-Integral plane is the stable domain. The proposed novel analytic solution of stable domain has a high precision and is feasible for practical applications. The formula for CSSA of surge tank considering power grid realizes the unity of the coupling effect of water potential energy in surge tank and power grid. The CSSA contains four terms, i.e. headrace tunnel term, penstock term, governor term and power grid term.

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  • Guo, Wencheng & Peng, Zhiyuan, 2019. "Hydropower system operation stability considering the coupling effect of water potential energy in surge tank and power grid," Renewable Energy, Elsevier, vol. 134(C), pages 846-861.
    • Handle: RePEc:eee:renene:v:134:y:2019:i:c:p:846-861
    DOI: 10.1016/j.renene.2018.11.064
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    1. Wencheng Guo & Yang Liu & Fangle Qu & Xinyu Xu, 2020. "A Review of Critical Stable Sectional Areas for the Surge Tanks of Hydropower Stations," Energies, MDPI, vol. 13(23), pages 1-25, December.
    2. Zhao, Kunjie & Xu, Yanhe & Guo, Pengcheng & Qian, Zhongdong & Zhang, Yongchuan & Liu, Wei, 2022. "Multi-scale oscillation characteristics and stability analysis of pumped-storage unit under primary frequency regulation condition with low water head grid-connected," Renewable Energy, Elsevier, vol. 189(C), pages 1102-1119.
    3. Wang, Le & Guo, Wencheng, 2022. "Nonlinear hydraulic coupling characteristics and energy conversion mechanism of pipeline - surge tank system of hydropower station with super long headrace tunnel," Renewable Energy, Elsevier, vol. 199(C), pages 1345-1360.
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    5. 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.
    6. 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.
    7. Liu, Yi & Zhang, Jian & Chen, Sheng & Yu, Xiaodong, 2023. "Stability analysis and estimation of domain of attraction for hydropower station with surge tank," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
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    10. Yu, Xiaodong & Yang, Xiuwei & Yu, Chao & Zhang, Jian & Tian, Yuan, 2021. "Direct approach to optimize PID controller parameters of hydropower plants," Renewable Energy, Elsevier, vol. 173(C), pages 342-350.
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    13. Zhao, Zhigao & Yang, Jiandong & Huang, Yifan & Yang, Weijia & Ma, Weichao & Hou, Liangyu & Chen, Man, 2021. "Improvement of regulation quality for hydro-dominated power system: quantifying oscillation characteristic and multi-objective optimization," Renewable Energy, Elsevier, vol. 168(C), pages 606-631.
    14. 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.
    15. Liu, Yang & Guo, Wencheng, 2021. "Multi-frequency dynamic performance of hydropower plant under coupling effect of power grid and turbine regulating system with surge tank," Renewable Energy, Elsevier, vol. 171(C), pages 557-581.
    16. Chen, Zi & Guo, Wencheng, 2023. "Stability and dynamic response of two-stage hydropower stations cascaded by regulating reservoir," Renewable Energy, Elsevier, vol. 202(C), pages 651-666.
    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. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang & Xu, Rongli, 2023. "Comprehensive stability analysis of complex hydropower system under flexible operating conditions based on a fast stability domain solving method," Energy, Elsevier, vol. 274(C).
    19. 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.
    20. Shi, Yousong & Zhou, Jianzhong & Guo, Wencheng & Zheng, Yang & Li, Chaoshun & Zhang, Yongchuan, 2022. "Nonlinear dynamic characteristics analysis and adaptive avoid vortex-coordinated optimal control of hydropower units under grid connection," Renewable Energy, Elsevier, vol. 200(C), pages 911-930.
    21. Ma, Weichao & Yan, Wenjie & Yang, Jiebin & He, Xianghui & Yang, Jiandong & Yang, Weijia, 2022. "Experimental and numerical investigation on head losses of a complex throttled surge tank for refined hydropower plant simulation," Renewable Energy, Elsevier, vol. 186(C), pages 264-279.
    22. Meng Zhang & Jinhai Feng & Ziwen Zhao & Wei Zhang & Junzhi Zhang & Beibei Xu, 2022. "A 1D-3D Coupling Model to Evaluate Hydropower Generation System Stability," Energies, MDPI, vol. 15(19), pages 1-13, September.
    23. Xu, Xinyu & Guo, Wencheng, 2020. "Stability of speed regulating system of hydropower station with surge tank considering nonlinear turbine characteristics," Renewable Energy, Elsevier, vol. 162(C), pages 960-972.

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