Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance

We present an analytical method for calculation of no-load magnetic field distribution in the slotted air gap of a surface permanent-magnet (PM) motor with radial or parallel magnetization. The method introduces the notion of complex relative air-gap permeance, calculated from the conformal transfor...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2006-07, Vol.42 (7), p.1828-1837
Main Authors: Zarko, D., Ban, D., Lipo, T.A.
Format: Article
Language:English
Subjects:
Air gaps
Air-gap permeance
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Finite element methods
Forging
Geometry
Magnetic analysis
Magnetic fields
Magnetism
Magnetization
Materials science
Mathematical analysis
Mathematical models
Motors
Other topics in materials science
Permanent magnet motors
Physics
Reluctance
Surface waves
Torque
Transformations
Waveforms
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Summary:We present an analytical method for calculation of no-load magnetic field distribution in the slotted air gap of a surface permanent-magnet (PM) motor with radial or parallel magnetization. The method introduces the notion of complex relative air-gap permeance, calculated from the conformal transformation of the slot geometry, to take into account the effect of slotting. As a result, an accurate solution of both radial and tangential components of the flux density can be obtained which shows excellent agreement with the results of finite-element simulations. As an example of the effectiveness of the model, we present calculations of the back electromotive force and the cogging torque waveforms in a surface PM motor.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2006.874594