Magnetic Field Analysis of Inset and Surface-Mounted Permanent-Magnet Synchronous Motors Using SchwarzaChristoffel Transformation

In this paper, we apply an original numerical Schwarz-Christoffel (SC) transformation to analyze magnetic field originating from permanent magnets and the armature winding currents in a slotted air gap of an inset permanent-magnet synchronous motor. We obtained the solution of the SC integral numeri...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2009-01, Vol.45 (8)
Main Authors: Boughrara, K, Zarko, D, Ibtiouen, R, Touhami, O, Rezzoug, A
Format: Article
Language:English
Subjects:
Magnetic fields
Mathematical models
Matlab
Stress tensors
Synchronous motors
Torque
Transformations
Online Access:Get full text
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Summary:In this paper, we apply an original numerical Schwarz-Christoffel (SC) transformation to analyze magnetic field originating from permanent magnets and the armature winding currents in a slotted air gap of an inset permanent-magnet synchronous motor. We obtained the solution of the SC integral numerically using Matlab SC Toolbox. We used this field solution to calculate both cogging torque and electromagnetic torque by integrating the Maxwell stress tensor inside the air gap. The case without inter-polar piece, which is equivalent to a surface-mounted permanent-magnet motor, is also treated. The accuracy of the developed method is verified by comparing its results with those obtained from the developed numerical finite-element models.
ISSN:0018-9464
DOI:10.1109/TMAG.2009.2016559