This paper presents an analytical model suitable for analyzing Permanent Magnet Synchronous motors. The difference between mass eccentricity and magnet eccentricity is described. The full derived vibration mathematical model incorporates both the electrical domain and mechanical domain. The shaft bending force, mass eccentricity exciting force, aerodynamic exciting force, and unbalanced-Magnet-Pull (UMP) are introduced in this three-dimensional motor model. The relative displacement between rotor and stator is calculated in order to avoid rotor to stator rub. The experiments were conducted with Laser Vibrometer for verifying the analysis results. The measurement results prove the effectiveness of the proposed analytic method.
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