Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation
There is a region of pump-turbine operation, often called the S-shaped region, in which one unit rotational speed corresponds to three unit flows or torques. In this paper, the dynamic model of the pump-turbine in S-shaped regions is established by introducing the nonlinear piecewise function of rel...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/50378 |
| _version_ | 1848758460755214336 |
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| author | Zhang, H. Chen, D. Wu, Changzhi Wang, Xiangyu Lee, J. Jung, K. |
| author_facet | Zhang, H. Chen, D. Wu, Changzhi Wang, Xiangyu Lee, J. Jung, K. |
| author_sort | Zhang, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | There is a region of pump-turbine operation, often called the S-shaped region, in which one unit rotational speed corresponds to three unit flows or torques. In this paper, the dynamic model of the pump-turbine in S-shaped regions is established by introducing the nonlinear piecewise function of relative parameters. Then, the global bifurcation diagrams of the pump-turbine are presented to analyze its dynamic characteristics in the S-shaped regions. Meanwhile, a stability criterion of runaway point is given based on the established theoretical model. The numerical experiments are conducted on the model and the results are in good agreement with the theoretical analysis. Furthermore, the effects of the characteristic curve slopes on the stability of the pump-turbine are studied by an innovative use of the three-dimensional bifurcation diagrams. Finally, the factors influencing the runaway stability of pump-turbines are also discussed, based on the dynamic analysis. |
| first_indexed | 2025-11-14T09:44:21Z |
| format | Journal Article |
| id | curtin-20.500.11937-50378 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:44:21Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-503782017-09-13T15:48:31Z Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation Zhang, H. Chen, D. Wu, Changzhi Wang, Xiangyu Lee, J. Jung, K. There is a region of pump-turbine operation, often called the S-shaped region, in which one unit rotational speed corresponds to three unit flows or torques. In this paper, the dynamic model of the pump-turbine in S-shaped regions is established by introducing the nonlinear piecewise function of relative parameters. Then, the global bifurcation diagrams of the pump-turbine are presented to analyze its dynamic characteristics in the S-shaped regions. Meanwhile, a stability criterion of runaway point is given based on the established theoretical model. The numerical experiments are conducted on the model and the results are in good agreement with the theoretical analysis. Furthermore, the effects of the characteristic curve slopes on the stability of the pump-turbine are studied by an innovative use of the three-dimensional bifurcation diagrams. Finally, the factors influencing the runaway stability of pump-turbines are also discussed, based on the dynamic analysis. 2017 Journal Article http://hdl.handle.net/20.500.11937/50378 10.1016/j.enconman.2017.01.053 Elsevier restricted |
| spellingShingle | Zhang, H. Chen, D. Wu, Changzhi Wang, Xiangyu Lee, J. Jung, K. Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title | Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title_full | Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title_fullStr | Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title_full_unstemmed | Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title_short | Dynamic modeling and dynamical analysis of pump-turbines in S-shaped regions during runaway operation |
| title_sort | dynamic modeling and dynamical analysis of pump-turbines in s-shaped regions during runaway operation |
| url | http://hdl.handle.net/20.500.11937/50378 |