Elastic vibration analysis of external rotor in an asynchronous induction motor under a synchronous coordinate system

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (7) : 8-12.

WANG Shiyu1,2, XIA Ying1, SUN Wenjia1, WANG Yaoyao3

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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.

Key words

asynchronous induction motor / external rotor / synchronous coordinates / elastic vibration

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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[J]. Journal of Vibration and Shock, 2018, 37(7): 8-12

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