Analytical Study of Stator Tooth Modulation on Electromagnetic Radial Force in Permanent Magnet Synchronous Machines

The electromagnetic radial force acting on the stator inner periphery will induce radial vibration and acoustic noise in permanent magnet synchronous machines (PMSMs). The radial force components are transmitted through the stator teeth to the yoke to introduce deformations. The influence of the stator tooth structure can be considered as an equivalent mechanical modulation effect on these electromagnetic radial force components. As a result, high-order electromagnetic radial force components can be modulated and potentially result in eminent stator low-mode vibration. In this article, an analytical model is developed to offer an intuitive knowledge of stator tooth modulation effect on electromagnetic radial force. The validity of the proposed analytical method is underpinned by both finite-element analysis and experimental results. Such an effective yet simple analytical model can be of significant benefit for the stator radial vibration analysis. It can be employed to not only promptly investigate the stator radial vibration characteristics, but also perform effective optimization on stator radial vibration reduction in permanent magnet synchronous machines (PMSMs).