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dc.contributor.authorXu, B.
dc.contributor.authorChen, D.
dc.contributor.authorZhang, H.
dc.contributor.authorWang, F.
dc.contributor.authorZhang, Xinguang
dc.contributor.authorWu, Yong Hong
dc.identifier.citationXu, B. and Chen, D. and Zhang, H. and Wang, F. and Zhang, X. and Wu, Y.H. 2017. Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag. Communications in Nonlinear Science and Numerical Simulation. 47: pp. 35-47.

© 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.

dc.titleHamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag
dc.typeJournal Article
dcterms.source.titleCommunications in Nonlinear Science and Numerical Simulation
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available

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