The Generalized Hamiltonian model for the shafting transient analysis of the hydro turbine generating sets

Yun Zeng, Lixiang Zhang, Yakun Guo, Jing Qian

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


Traditional rotor dynamics mainly focuses on the steady- state behavior of the rotor and shafting. However, for systems such as hydro turbine generating sets (HTGS) where the control and regulation is frequently applied, the shafting safety and stabilization in transient state is then a key factor. The shafting transient state inevitably involves multiparameter domain, multifield coupling, and coupling dynamics. In this paper, the relative value form of the Lagrange function and its equations have been established by defining the base value system of the shafting. Taking the rotation angle and the angular speed of the shafting as a link, the shafting lateral vibration and generator equations are integrated into the framework of generalized Hamiltonian system. The generalized Hamiltonian control model is thus established. To make the model more general, additional forces of the shafting are taken as the input excitation in proposed model. The control system of the HTGS can be easily connected with the shafting model to form the whole simulation system of the HTGS. It is expected that this study will build a foundation for the coupling dynamics theory using the generalized Hamiltonian theory to investigate coupling dynamic mechanism among the shafting vibration, transient of hydro turbine generating sets, and additional forces of the shafting. © 2014 Springer Science+Business Media Dordrecht.
Original languageEnglish
Pages (from-to)1921-1933
Number of pages13
JournalNonlinear Dynamics
Issue number4
Early online date8 Feb 2014
Publication statusPublished - Jun 2014


  • Hydro turbine generating sets
  • shafting
  • transient
  • the Lagrange relative value system
  • the generalized Hamiltonian model


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