IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/412578.html
   My bibliography  Save this article

Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect

Author

Listed:
  • Junyi Li
  • Qijuan Chen

Abstract

A nonlinear mathematical model for hydroturbine governing system (HTGS) has been proposed. All essential components of HTGS, that is, conduit system, turbine, generator, and hydraulic servo system, are considered in the model. Using the proposed model, the existence and stability of Hopf bifurcation of an example HTGS are investigated. In addition, chaotic characteristics of the system with different system parameters are studied extensively and presented in the form of bifurcation diagrams, time waveforms, phase space trajectories, Lyapunov exponent, chaotic attractors, and Poincare maps. Good correlation can be found between the model predictions and theoretical analysis. The simulation results provide a reasonable explanation for the sustained oscillation phenomenon commonly seen in operation of hydroelectric generating set.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:412578
    DOI: 10.1155/2014/412578
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/412578.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/412578.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/412578?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
    ---><---

    Citations

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


    Cited by:

    1. Gao, Chunyang & Yu, Xiangyang & Nan, Haipeng & Men, Chuangshe & Zhao, Peiyu & Cai, Qingsen & Fu, Jianing, 2021. "Stability and dynamic analysis of doubly-fed variable speed pump turbine governing system based on Hopf bifurcation theory," Renewable Energy, Elsevier, vol. 175(C), pages 568-579.
    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. Xu, Beibei & Chen, Diyi & Zhang, Hao & Wang, Feifei, 2015. "Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 50-61.
    4. Qi Yang & Jing Qian & Jia Li & Yidong Zou & Danning Tian & Yun Zeng & Yan Long & Ganyuan Zhang, 2023. "A New Integral Sliding Mode Control for Hydraulic Turbine Governing Systems Based on Nonlinear Disturbance Observer Compensation," Sustainability, MDPI, vol. 15(17), pages 1-21, August.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnljam:412578. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.