To study the effect of slotting on the rotor surface under the action of tooth modulation on the e-lectromagnetic vibration of a permanent magnet synchronous motor,the frequency and spatial order char-acteristics of the radial electromagnetic force wave were derived by Maxwell's stress tensor method using low power fractional-slot concentrated-winding(FSCW)interior permanent-magnet synchronous motor(IPMSM)as the object of study.The process of modulation of spatial high-order electromagnetic force waves into low-order electromagnetic force waves by tooth modulation in FSCW-IPMSM was analyzed,and the connection between the rotor surface slotting and electromagnetic vibration under the influence of tooth modulation was given.It is shown that the change in the slotted structure of the rotor surface causes a difference in the magnetic field of each harmonic,which in turn changes the amplitude of the high-order electromagnetic force wave represented by the pole-order electromagnetic force wave.Under the effect of tooth modulation,these high-order electromagnetic force waves were modulated into low-order electromag-netic force waves of higher amplitude and cause low-order vibrations of different amplitudes.A 10-pole,12-slot FSCW-IPMSM electromagnetic and structural finite element analysis model with two different rotor surface slotted structures of C-type and V-type was developed and simulated.The results show that the pole-order,namely,the 10th-order electromagnetic force wave,is modulated to the 2nd order and causes the 2nd-order vibration,and there is a difference of up to 22.1%in the electromagnetic vibration be-tween the two different slotted structures.Finally,vibration experiments were conducted on a 10-pole 12-slot prototype to verify the theoretical and simulation analysis results.
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