IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v154y2020icp723-742.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148120303608
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.renene.2020.03.038?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    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. 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.
    5. 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.
    6. David Elliott, 2016. "A balancing act for renewables," Nature Energy, Nature, vol. 1(1), pages 1-3, January.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liu, Dong & Li, Chaoshun & Malik, O.P., 2021. "Nonlinear modeling and multi-scale damping characteristics of hydro-turbine regulation systems under complex variable hydraulic and electrical network structures," Applied Energy, Elsevier, vol. 293(C).
    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. Chen, Jinbao & Zeng, Quan & Zou, Yidong & Li, Shaojie & Zheng, Yang & Liu, Dong & Xiao, Zhihuai, 2024. "Intelligent robust control for nonlinear complex hydro-turbine regulation system based on a novel state space equation and dynamic feedback linearization," Energy, Elsevier, vol. 302(C).
    4. 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).
    5. 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).
    6. 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.
    7. 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).
    8. 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.
    9. Chen, Jinbao & Zheng, Yang & Liu, Dong & Du, Yang & Xiao, Zhihuai, 2023. "Quantitative stability analysis of complex nonlinear hydraulic turbine regulation system based on accurate calculation," Applied Energy, Elsevier, vol. 351(C).
    10. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang, 2022. "Influence of water diversion system topologies and operation scenarios on the damping characteristics of hydropower units under ultra-low frequency oscillations," Energy, Elsevier, vol. 239(PE).
    11. 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.
    12. Liu, Dong & Li, Chaoshun & Tan, Xiaoqiang & Lu, Xueding & Malik, O.P., 2021. "Damping characteristics analysis of hydropower units under full operating conditions and control parameters: Accurate quantitative evaluation based on refined models," Applied Energy, Elsevier, vol. 292(C).
    13. Dong, Wenhui & Cao, Zezhou & Zhao, Pengchong & Yang, Zhenbiao & Yuan, Yichen & Zhao, Ziwen & Chen, Diyi & Wu, Yajun & Xu, Beibei & Venkateshkumar, M., 2023. "A segmented optimal PID method to consider both regulation performance and damping characteristic of hydroelectric power system," Renewable Energy, Elsevier, vol. 207(C), pages 1-12.
    14. Ma, Weichao & Zhao, Zhigao & Yang, Jiebin & Lai, Xu & Liu, Chengpeng & Yang, Jiandong, 2024. "A transient analysis framework for hydropower generating systems under parameter uncertainty by integrating physics-based and data-driven models," Energy, Elsevier, vol. 297(C).
    15. 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.
    16. Tan, Xiaoqiang & Li, Chaoshun & Liu, Dong & Wang, He & Xu, Rongli & Lu, Xueding & Zhu, Zhiwei, 2023. "Multi-time scale model reduction strategy of variable-speed pumped storage unit grid-connected system for small-signal oscillation stability analysis," Renewable Energy, Elsevier, vol. 211(C), pages 985-1009.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Liu, Dong & Li, Chaoshun & Tan, Xiaoqiang & Lu, Xueding & Malik, O.P., 2021. "Damping characteristics analysis of hydropower units under full operating conditions and control parameters: Accurate quantitative evaluation based on refined models," Applied Energy, Elsevier, vol. 292(C).
    3. 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.
    4. Xinran Guo & Yuanchu Cheng & Jiada Wei & Yitian Luo, 2021. "Stability Analysis of Different Regulation Modes of Hydropower Units," Energies, MDPI, vol. 14(7), pages 1-19, March.
    5. Yang, Weijia & Yang, Jiandong, 2019. "Advantage of variable-speed pumped storage plants for mitigating wind power variations: Integrated modelling and performance assessment," Applied Energy, Elsevier, vol. 237(C), pages 720-732.
    6. 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.
    7. 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).
    8. Hao An & Jiandong Yang & Weijia Yang & Yuanchu Cheng & Yumin Peng, 2019. "An Improved Frequency Dead Zone with Feed-Forward Control for Hydropower Units: Performance Evaluation of Primary Frequency Control," Energies, MDPI, vol. 12(8), pages 1-25, April.
    9. 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.
    10. 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.
    11. Liu, Yi & Zhang, Jian & Liu, Zhe & Chen, Long & Yu, Xiaodong, 2022. "Surge wave characteristics for hydropower plant with upstream double surge tanks connected in series under small load disturbance," Renewable Energy, Elsevier, vol. 186(C), pages 667-676.
    12. Yang, Weijia & Norrlund, Per & Bladh, Johan & Yang, Jiandong & Lundin, Urban, 2018. "Hydraulic damping mechanism of low frequency oscillations in power systems: Quantitative analysis using a nonlinear model of hydropower plants," Applied Energy, Elsevier, vol. 212(C), pages 1138-1152.
    13. Liu, Dong & Li, Chaoshun & Malik, O.P., 2021. "Nonlinear modeling and multi-scale damping characteristics of hydro-turbine regulation systems under complex variable hydraulic and electrical network structures," Applied Energy, Elsevier, vol. 293(C).
    14. Tang, Renbo & Yang, Jiandong & Yang, Weijia & Zou, Jin & Lai, Xu, 2019. "Dynamic regulation characteristics of pumped-storage plants with two generating units sharing common conduits and busbar for balancing variable renewable energy," Renewable Energy, Elsevier, vol. 135(C), pages 1064-1077.
    15. 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.
    16. 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).
    17. Yi Liu & Xiaodong Yu & Xinlei Guo & Wenlong Zhao & Sheng Chen, 2023. "Operational Stability of Hydropower Plant with Upstream and Downstream Surge Chambers during Small Load Disturbance," Energies, MDPI, vol. 16(11), pages 1-13, June.
    18. 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.
    19. Liu, Zhe & Yu, Xiaodong & Pérez-Díaz, Juan I. & Liu, Yi & Martínez-Lucas, Guillermo, 2023. "Influence of water hammer effect on low frequency oscillation of grid-connected hydropower station system," Renewable Energy, Elsevier, vol. 219(P2).
    20. Hu, Jinhong & Yang, Jiebin & He, Xianghui & Zhao, Zhigao & Yang, Jiandong, 2023. "Transient analysis of a hydropower plant with a super-long headrace tunnel during load acceptance: Instability mechanism and measurement verification," Energy, Elsevier, vol. 263(PA).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:154:y:2020:i:c:p:723-742. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.