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

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  • 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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:412578
    DOI: 10.1155/2014/412578
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    References listed on IDEAS

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    1. Yulin Si & Hamid Reza Karimi & Huijun Gao, 2013. "Modeling and Parameter Analysis of the OC3‐Hywind Floating Wind Turbine with a Tuned Mass Damper in Nacelle," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Yulin Si & Hamid Reza Karimi & Huijun Gao, 2013. "Modeling and Parameter Analysis of the OC3-Hywind Floating Wind Turbine with a Tuned Mass Damper in Nacelle," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, December.
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