Analytical Solution for Electromagnetic Torque in Surface Permanent-Magnet Motors Using Conformal Mapping

We present an analytical method for the calculation of electromagnetic torque in surface permanent-magnet (PM) motors. Our method uses conformal mapping to calculate the electromagnetic torque by integrating the Maxwell stress tensor inside the air gap. It uses the radial and tangential components o...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2009-07, Vol.45 (7), p.2943-2954
Main Authors: Zarko, D., Ban, D., Lipo, T.A.
Format: Article
Language:English
Subjects:
Air-gap permeance
Coils
Conformal mapping
Cross-disciplinary physics: materials science
rheology
Electromagnetic analysis
Electromagnetic fields
electromagnetic torque
Exact sciences and technology
Finite element method
Finite element methods
Flux
Magnetic analysis
magnetic fields
Magnetism
Materials science
Mathematical analysis
Motors
Other topics in materials science
Permanent magnet motors
Permanent magnets
Physics
Stators
Stress tensors
Torque
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Description
Summary:We present an analytical method for the calculation of electromagnetic torque in surface permanent-magnet (PM) motors. Our method uses conformal mapping to calculate the electromagnetic torque by integrating the Maxwell stress tensor inside the air gap. It uses the radial and tangential components of the flux density in the slotted air-gap produced by the currents flowing in the three-phase armature winding. We demonstrate our analytical solution on a 7-kW four-pole surface PM motor and compare the results with finite-element solutions. We present the results for various angular spans of permanent magnets and various sizes of the slot opening to confirm the validity of the analytical approach.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2009.2014689