کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
289373 | 509677 | 2011 | 6 صفحه PDF | دانلود رایگان |
This rapid communication is concerned with the circular whirling and stability of a model rotor in a synchronous generator under no load, subjected to unbalanced magnetic pull and mass eccentric force. The analysis is focused on the synchronous whirling of the rotor. Based on the existing analytical expression for unbalanced magnetic pull with any pole-pair number, the nonautonomous system of differential equations of motion with parametrically exciting force is transformed to an autonomous one by introducing a rotating coordinate frame. The circular whirlings of the model rotor are thus converted into equilibrium solutions to the autonomous system, which can be obtained by solving a system of polynomial equations with two unknowns only. Furthermore, stability of these equilibrium solutions is determined by applying the linearized stability criterion. An example is used to illustrate the proposed analytical method.
Journal: Journal of Sound and Vibration - Volume 330, Issue 21, 10 October 2011, Pages 4949–4954