Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Junyi& Chen, Qijuan. 2014. Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-470073
Modern Language Association (MLA)
Li, Junyi& Chen, Qijuan. Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-470073
American Medical Association (AMA)
Li, Junyi& Chen, Qijuan. Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-470073
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470073