Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/412578 |
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| author | Junyi Li Qijuan Chen |
| author_facet | Junyi Li Qijuan Chen |
| author_sort | Junyi Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7c024fca612841bdb66bba79dcdd82f2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7c024fca612841bdb66bba79dcdd82f22025-02-03T06:12:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/412578412578Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer EffectJunyi Li0Qijuan Chen1Power and Mechanical Engineering, Wuhan University, Wuhan, Hubei 430072, ChinaPower and Mechanical Engineering, Wuhan University, Wuhan, Hubei 430072, ChinaA 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.http://dx.doi.org/10.1155/2014/412578 |
| spellingShingle | Junyi Li Qijuan Chen Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect Journal of Applied Mathematics |
| title | Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect |
| title_full | Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect |
| title_fullStr | Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect |
| title_full_unstemmed | Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect |
| title_short | Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect |
| title_sort | nonlinear dynamical analysis of hydraulic turbine governing systems with nonelastic water hammer effect |
| url | http://dx.doi.org/10.1155/2014/412578 |
| work_keys_str_mv | AT junyili nonlineardynamicalanalysisofhydraulicturbinegoverningsystemswithnonelasticwaterhammereffect AT qijuanchen nonlineardynamicalanalysisofhydraulicturbinegoverningsystemswithnonelasticwaterhammereffect |