Cogging torque and acoustic noise reduction in permanent magnet motors by teeth pairing

By Sang-Moon Hwang, J. Eom, Geun-bae Hwang, W. Jeong, Yoongho Jung. 2000

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Various design techniques to reduce cogging torque by controlling energy variation in permanent magnet motors (2001, background): “Some of them describe specific solution [ 3 ], while others review the different solutions but without giving analytical formulations for comparing them from a design perspective.”
Analytical Methods for Minimizing Cogging Torque in Permanent-Magnet Machines (2009, methodology): “It extends the analytical model in [5] and [11].”
Effect of magnet segmentation on the cogging torque in surface-mounted permanent-magnet motors (2006, background): “By supposing that the energy variation in PMs and iron is negligible compared to that of air gap, the cogging torque can be expressed as follows [8], [9]:”
Analytical Solution for Cogging Torque in Surface Permanent-Magnet Motors Using Conformal Mapping (2008, background): “) [22], [23], shifting of permanent magnets [24]–[27], notches in the stator teeth [22], [24], [28], [29], teeth pairing [4], [30], slot width pairing [31], magnet segmentation [32], stepped skewing of magnets [22], [24], etc.”
Force Calculations in 3-D Cylindrical Structures Using Fourier Analysis and the Maxwell Stress Tensor (2013, background): “In high-speed machines, cogging torque can lead to unwanted noise and vibrations [2], [3], and in vibration isolation systems, an accurate value of the force and the derivative of the force have to be obtained to guarantee proper operation of the device [4].”