Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag

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• 作者：Beibei Xu^a ; Diyi Chen^a ; ^b ; ^{diyichen@nwsuaf.edu.cn} ; Hao Zhang^a ; Feifei Wang^a ; Xinguang Zhang^b ; Yonghong Wu^b
• 关键词：Hamiltonian function ; Hamiltonian model ; Hydro-turbine governing system ; Fractional calculus ; Time-lag
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：47
• 期：Complete
• 页码：35-47
• 全文大小：4064 K
• 卷排序：47

文摘

This paper addresses a hydro-turbine governing system with fractional item and time-lag. We put the system to the framework of the generalized Hamiltonian system. A novel Hamiltonian function to describe detailed energy information is proposed. The laws of the system parameters varying with fractional order is studied. The laws of the system parameters varying with time lag is studied. The difference between fractional calculus and time-lag are discussed in nature.