Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag
© 2016This paper focus on a Hamiltonian mathematical modeling for a hydro-turbine governing system including fractional item and time-lag. With regards to hydraulic pressure servo system, a universal dynamical model is proposed, taking into account the viscoelastic properties and low-temperature imp...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/52340 |
| _version_ | 1848758904958222336 |
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| author | Xu, B. Chen, D. Zhang, H. Wang, F. Zhang, Xinguang Wu, Yong Hong |
| author_facet | Xu, B. Chen, D. Zhang, H. Wang, F. Zhang, Xinguang Wu, Yong Hong |
| author_sort | Xu, B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016This paper focus on a Hamiltonian mathematical modeling for a hydro-turbine governing system including fractional item and time-lag. With regards to hydraulic pressure servo system, a universal dynamical model is proposed, taking into account the viscoelastic properties and low-temperature impact toughness of constitutive materials as well as the occurrence of time-lag in the signal transmissions. The Hamiltonian model of the hydro-turbine governing system is presented using the method of orthogonal decomposition. Furthermore, a novel Hamiltonian function that provides more detailed energy information is presented, since the choice of the Hamiltonian function is the key issue by putting the whole dynamical system to the theory framework of the generalized Hamiltonian system. From the numerical experiments based on a real large hydropower station, we prove that the Hamiltonian function can describe the energy variation of the hydro-turbine suitably during operation. Moreover, the effect of the fractional a and the time-lag t on the dynamic variables of the hydro-turbine governing system are explored and their change laws identified, respectively. The physical meaning between fractional calculus and time-lag are also discussed in nature. All of the above theories and numerical results are expected to provide a robust background for the safe operation and control of large hydropower stations. |
| first_indexed | 2025-11-14T09:51:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-52340 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:51:24Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-523402017-09-13T15:40:24Z Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag Xu, B. Chen, D. Zhang, H. Wang, F. Zhang, Xinguang Wu, Yong Hong © 2016This paper focus on a Hamiltonian mathematical modeling for a hydro-turbine governing system including fractional item and time-lag. With regards to hydraulic pressure servo system, a universal dynamical model is proposed, taking into account the viscoelastic properties and low-temperature impact toughness of constitutive materials as well as the occurrence of time-lag in the signal transmissions. The Hamiltonian model of the hydro-turbine governing system is presented using the method of orthogonal decomposition. Furthermore, a novel Hamiltonian function that provides more detailed energy information is presented, since the choice of the Hamiltonian function is the key issue by putting the whole dynamical system to the theory framework of the generalized Hamiltonian system. From the numerical experiments based on a real large hydropower station, we prove that the Hamiltonian function can describe the energy variation of the hydro-turbine suitably during operation. Moreover, the effect of the fractional a and the time-lag t on the dynamic variables of the hydro-turbine governing system are explored and their change laws identified, respectively. The physical meaning between fractional calculus and time-lag are also discussed in nature. All of the above theories and numerical results are expected to provide a robust background for the safe operation and control of large hydropower stations. 2017 Journal Article http://hdl.handle.net/20.500.11937/52340 10.1016/j.cnsns.2016.11.006 Elsevier restricted |
| spellingShingle | Xu, B. Chen, D. Zhang, H. Wang, F. Zhang, Xinguang Wu, Yong Hong Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title | Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title_full | Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title_fullStr | Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title_full_unstemmed | Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title_short | Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| title_sort | hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag |
| url | http://hdl.handle.net/20.500.11937/52340 |