Hybrid Model for Electromagnetic Vibration Synthesis of Electrical Machines Considering Tooth Modulation and Tangential Effects

With the development of vibration mechanism research on electrical machines, the tooth modulation effect was found recently. Besides, the tangential effect, which contains both the air-gap tangential force's effect and the influence of tangential magnetic field on the radial force, was also proved to be of great importance. Nevertheless, these effects are still not found to be considered in the analytical or hybrid vibration synthesis methods, which are quite efficient for machine vibration analysis. Hence, this article proposes a hybrid vibration synthesis method for electrical machines taking both these two effects into account to improve the accuracy. The electromagnetic force processing and transfer function construction processes of the proposed method are presented in detail. By applying this hybrid model to a permanent magnet machine and conducting an experimental study, the accuracy of this method is validated. Moreover, based on the proposed method, the influences of tooth modulation and tangential effects on the machine's vibration are analyzed. The result proves the significance of these two effects and highlights the contribution of this article.