This article investigates the effect of phase shift angle on radial force and vibration behavior in the dual three-phase permanent magnet (PM) synchronous motor (DTP-PMSM). First, the elimination principles of stator magneto-motive force and radial force harmonics with different phase shift angles are derived. Afterward, a 48-slot/22-pole DTP-PMSM with appropriate windings configurations are analyzed from the perspectives of the electromagnetic performance and vibration behavior in detail. It is found that the 7.5° and 30° configurations have great significance for reducing the amplitude of radial force harmonics. The 7.5° configuration has the lowest second-order radial force amplitude, while the 30° configuration has the smallest amplitude of fourth-, sixth-, and eighth-order radial forces. According to the results calculated by the multiphysics vibration prediction model, the 30° configuration has lower vibration acceleration in the entire frequency band. Finally, the prototypes of the 48-slot/22-pole DTP-PMSMs with 30° and 60° phase shift angle are fabricated. The tests are conducted to validate the theoretical analysis.

中文翻译：

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相移角对双三相永磁同步电机径向力和振动行为的影响

本文研究了相移角对双三相永磁 (PM) 同步电机 (DTP-PMSM) 中径向力和振动行为的影响。首先，推导了不同相移角的定子磁动势和径向力谐波的消除原理。然后，从电磁性能和振动行为的角度详细分析了具有适当绕组配置的 48 槽/22 极 DTP-PMSM。发现7.5°和30°配置对降低径向力谐波的幅值具有重要意义。7.5° 配置具有最低的二阶径向力幅值，而 30° 配置具有最小的四阶、六阶和八阶径向力幅值。根据多物理场振动预测模型计算的结果，30°配置在整个频段内的振动加速度较低。最后，制作了具有 30° 和 60° 相移角的 48 槽/22 极 DTP-PMSM 的原型。进行测试以验证理论分析。