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Stability analysis of hydropower units under full operating conditions considering turbine nonlinearity

Author

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  • Liu, Dong
  • Wang, Xin
  • Peng, Yunshui
  • Zhang, Hui
  • Xiao, Zhihuai
  • Han, Xiangdong
  • Malik, O.P.

Abstract

Stability analysis of a Hydro-turbine, an important prime mover in power systems, is meaningful for the safety of both the power station and the power system. However, the structure of hydro-turbines, such as Francis turbine or Kaplan turbine with on-cam mechanism, is complicated which makes it difficult to make an overall estimate of its performance. Considering the hydro-turbine nonlinearity, a comprehensive stability analysis of the hydro-turbine regulation system (HTRS) under frequency control mode (FCM) and power control mode (PCM) is performed. The linear and nonlinear models of the hydro-turbine are first established based on Tylor expansion and BP neural network. Then the transfer coefficients in the linear model under full operating conditions (FOC) are computed with the proposed neural-network-based differentiation method (NND). Finally, state space equations of the HTRS with different transfer coefficients are analyzed based on critical stability criterion to explore the variation laws of stability domain and dynamic behaviors of HTRS with operating conditions at FCM and PCM. The results contribute to a better understanding of the influence of hydro-turbine nonlinearity on the stability of HTRS and can be helpful for practical operation in hydropower stations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:154:y:2020:i:c:p:723-742
    DOI: 10.1016/j.renene.2020.03.038
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    as
    1. Heard, B.P. & Brook, B.W. & Wigley, T.M.L. & Bradshaw, C.J.A., 2017. "Burden of proof: A comprehensive review of the feasibility of 100% renewable-electricity systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 76(C), pages 1122-1133.
    2. Junyi Li & Qijuan Chen, 2014. "Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, June.
    3. Weijia Yang & Jiandong Yang & Wencheng Guo & Wei Zeng & Chao Wang & Linn Saarinen & Per Norrlund, 2015. "A Mathematical Model and Its Application for Hydro Power Units under Different Operating Conditions," Energies, MDPI, vol. 8(9), pages 1-16, September.
    4. 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.
    5. Aggidis, George A. & Židonis, Audrius, 2014. "Hydro turbine prototype testing and generation of performance curves: Fully automated approach," Renewable Energy, Elsevier, vol. 71(C), pages 433-441.
    6. 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.
    7. 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.
    8. Raineri, R. & Rios, S. & Schiele, D., 2006. "Technical and economic aspects of ancillary services markets in the electric power industry: an international comparison," Energy Policy, Elsevier, vol. 34(13), pages 1540-1555, September.
    9. Dong Liu & Zhihuai Xiao & Hongtao Li & Dong Liu & Xiao Hu & O.P. Malik, 2019. "Accurate Parameter Estimation of a Hydro-Turbine Regulation System Using Adaptive Fuzzy Particle Swarm Optimization," Energies, MDPI, vol. 12(20), pages 1-21, October.
    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. Brouwer, Anne Sjoerd & van den Broek, Machteld & Seebregts, Ad & Faaij, André, 2015. "Operational flexibility and economics of power plants in future low-carbon power systems," Applied Energy, Elsevier, vol. 156(C), pages 107-128.
    12. Zhang, Sufang & Andrews-Speed, Philip & Li, Sitao, 2018. "To what extent will China's ongoing electricity market reforms assist the integration of renewable energy?," Energy Policy, Elsevier, vol. 114(C), pages 165-172.
    13. Pérez-Díaz, Juan I. & Chazarra, M. & García-González, J. & Cavazzini, G. & Stoppato, A., 2015. "Trends and challenges in the operation of pumped-storage hydropower plants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 44(C), pages 767-784.
    14. Wang, Feifei & Chen, Diyi & Xu, Beibei & Zhang, Hao, 2016. "Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 329-338.
    15. David Elliott, 2016. "A balancing act for renewables," Nature Energy, Nature, vol. 1(1), pages 1-3, January.
    16. Weijia Yang & Per Norrlund & Linn Saarinen & Adam Witt & Brennan Smith & Jiandong Yang & Urban Lundin, 2018. "Burden on hydropower units for short-term balancing of renewable power systems," Nature Communications, Nature, vol. 9(1), pages 1-12, December.
    17. 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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    2. 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.
    3. 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).
    4. Achitaev, Andrey A. & Suslov, Konstantin V. & Nazarychev, Alexander N. & Volkova, Irina O. & Kozhemyakin, Vyacheslav E. & Voloshin, Alexander A. & Minakov, Andrey V., 2022. "Application of electromagnetic continuous variable transmission in hydraulic turbines to increase stability of an off-grid power system," Renewable Energy, Elsevier, vol. 196(C), pages 125-136.
    5. Xu, Beibei & Zhang, Jingjing & Egusquiza, Mònica & Chen, Diyi & Li, Feng & Behrens, Paul & Egusquiza, Eduard, 2021. "A review of dynamic models and stability analysis for a hydro-turbine governing system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    6. Dao, Fang & Zou, Yidong & Zeng, Yun & Qian, Jing & Li, Xiang, 2023. "An intelligent CPSOGSA-based mixed H2/H∞ robust controller for the multi-hydro-turbine governing system with sharing common penstock," Renewable Energy, Elsevier, vol. 206(C), pages 481-497.
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    9. Zou, Yidong & Hu, Wenqing & Xiao, Zhihuai & Wang, Yunhe & Chen, Jinbao & Zheng, Yang & Qian, Jing & Zeng, Yun, 2023. "Design of intelligent nonlinear robust controller for hydro-turbine governing system based on state-dynamic-measurement hybrid feedback linearization method," Renewable Energy, Elsevier, vol. 204(C), pages 635-651.
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