应用奇异性理论分析水电机组的振动稳定性

Analysis of Vibration Stability of Hydroelectric Unit with Singularity Theory

针对机组轴系由电磁作用激发的振动问题,应用奇异性理论进行稳定性分析。首先求得转迁集,进而计算由转迁集而划分出的不同区域内的曲线形状,并分析这些曲线的稳定性,最后给出总的分岔图。所得结论对水电机组的电磁参数设计有一定的帮助作用。

Applying the singularity theory,the paper analyzes the vibration stability of a hydroelectric unit shaft excited by electromagnetic functions.Firstly,transition set was obtained,then the curves shapes in different regions were calculated and their stabilities were also analyzed.At last,the overall bifurcation diagram is given.The conclusions will be certainly helpful for electromagnetic parameter design in hydroelectric units.