Elastic vibration analysis of external rotor in an asynchronous induction motor under a synchronous coordinate system
WANG Shiyu1,2, XIA Ying1, SUN Wenjia1, WANG Yaoyao3
1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
2. Tianjin Municipal Key Lab of Nonlinear Dynamics and Control, Tianjin 300072, China;
3. Shanghai Aerospace Control Technology Institute, Shanghai 201109, China
Abstract：Aiming at elastic vibration problems of external rotor in an asynchronous induction motor due to rotating magnetic load, a synchronous coordinate system rotating at the same speed as that of the magnetic load was employed to remove influences of time-variant parameters. A time-invariant transverse vibration model of the external rotor was established with Hamilton principle. It was solved by using the classical vibration theory. Effects of the motor’s basic mechanical-electrical parameters on the system’s vibration stability were analyzed and the unstable boundary with a closed-form was also derived. A coordinate conversion was used to build the external rotor’s parametrically-excited dynamic model under a conventional inertial coordinate system. The system’s divergence and flutter unstable regions were calculated with Floquet theory. The system’s responses were solved using Runge-Kutta method. It was shown that the results obtained with the two dynamic models agree well, the correctness of the modeling method with a synchronous coordinate system and the dynamic stability calculation results is verified.
王世宇1,2，夏 营1，孙文嘉1，王尧尧3. 同步坐标系下异步感应电机外转子弹性振动分析[J]. 振动与冲击, 2018, 37(7): 8-12.
WANG Shiyu1,2, XIA Ying1, SUN Wenjia1, WANG Yaoyao3. Elastic vibration analysis of external rotor in an asynchronous induction motor under a synchronous coordinate system. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(7): 8-12.
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