FUNDAMENTAL RESONANCE AND BIFURCATION OF LARGEGENERATOR END WINDING WHEN ITSCLAMPING PLATES ARE LOOSE  

作　　者：胡宇达 邱家俊 塔娜 

机构地区：[1]School of Civil Engineering and Mechanics, Yanshan University,Qinhuangdao 066004, Hebei Province, P.R.China [2]Department of Mechanics, Tianjin University,Tianjin 300072, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第4期505-514,共10页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10072038)andthe DoctoralFoundationofEducationMinistryofChina(No.2000005616)

摘　　要：Vibration problems of a segment of winding between two clamping plates are studied when the clamping plates, which are used to fix stator end winding, are loose. First, magnetic induction expressions of the winding while the generator was running were given by using separation of variables method. Also, the expressions of the winding electromagnetic force and dry friction force between loosing clamping plates were gotten. Secondly, a mechanical model, which was used to study nonlinear vibration problem of the winding,was set up. Fundamental resonance was analyzed by using multiple scales method, and a resonance equation of amplitude and frequency in steady state was given. Then stability, bifurcation and singularity of the steady solution were studied. Criterions of stability and transition set of the bifurcation equation were obtained. At last, through numerical calculations, resonance curves were obtained. The results are helpful for analysis and protection of generator accidents.Vibration problems of a segment of winding between two clamping plates are studied when the clamping plates, which are used to fix stator end winding, are loose. First, magnetic induction expressions of the winding while the generator was running were given by using separation of variables method. Also, the expressions of the winding electromagnetic force and dry friction force between loosing clamping plates were gotten. Secondly, a mechanical model, which was used to study nonlinear vibration problem of the winding,was set up. Fundamental resonance was analyzed by using multiple scales method, and a resonance equation of amplitude and frequency in steady state was given. Then stability, bifurcation and singularity of the steady solution were studied. Criterions of stability and transition set of the bifurcation equation were obtained. At last, through numerical calculations, resonance curves were obtained. The results are helpful for analysis and protection of generator accidents.

关 键 词：turbo_generator end winding electromagnetic force fundamental resonance BIFURCATION multiple scales 

分 类 号：TM31[电气工程—电机]