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

Junyi Li | Zendy; Qijuan Chen | Zendy

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

Author(s) -

Junyi Li,

Qijuan Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/412578

Subject(s) - attractor , water hammer , lyapunov exponent , control theory (sociology) , chaotic , nonlinear system , bifurcation , turbine , hopf bifurcation , phase space , hydraulic machinery , stability (learning theory) , mathematics , statistical physics , computer science , mechanics , physics , mathematical analysis , control (management) , quantum mechanics , artificial intelligence , machine learning , thermodynamics

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

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