Dynamic Response of a Main Shaft System of Francis Turbine-Generator Units

Abstract

Taking the generator and turbine as an integrated system, the nonlinear coupling dynamic equations of the system are established by the finite element method. According to the dynamic equations, the global coupling relations among the structural parameters, fluid parameters and electromagnetic parameters are discovered. Based on the dynamic equations, the dynamic responses of the system are calculated and analyzed. The results show that not only the structural parameters, but also the fluid parameters and the electromagnetic parameters have significant effects on the dynamic responses of the system. Finally, an example is presented.

An on-line monitoring method for the flow excitation in francis hydraulic turbine based on dynamics

“…Further, the dynamic equation of main shaft system is established by the finite element method, which is expressed as [21]:…”

A 3-node Shaft Element for Main Shaft Vibration FE Analysis

“…There are also literatures that described the characteristics of the vibration caused by different excitation. For example, Zhang Lixiang proposed Lagrangian-Eulerian formulations based on a generalized variational principle of fluid-solid coupling dynamics to describe flow-induced vibration of a structure under small deformation in an incompressible viscous fluid flow [1] ; Li Zhaojun, Cai Ganwei made efforts to establish the nonlinear global dynamic model while considering the water excitation for Francis hydro-turbine [2,3] ; Ma Zhenyue did plenty of work about the coupling vibration between the hydro-turbine and the hydropower plant [4,5] . Qiu Jiajun focused on the unbalanced vibration induced by the electromagnetic field [6,7] .…”