Analysis of Magnetic Field of Thin-Wall Air Induction Coil of Arbitrary Cross Section With the Help of Scalar Magnetic Potential

The analysis of magnetic field of a thin-wall air induction coil with a shape of finite cylinder of arbitrary cross section is described. The result of the analysis is a method for finding the scalar magnetic potential of the coil with the help of mutual inductance of the coil and the elementary loo...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2016-05, Vol.52 (5), p.1-12
Main Authors: Kracek, Jan, Pankrac, Vitezslav, Mazanek, Milos
Format: Article
Language:English
Subjects:
air induction coil
arbitrary cross section
Couplings
Inductance
magnetic field
Magnetic fields
Magnetic flux density
Magnetic multilayers
Magnetism
scalar magnetic potential
Shape
thin-wall
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Summary:The analysis of magnetic field of a thin-wall air induction coil with a shape of finite cylinder of arbitrary cross section is described. The result of the analysis is a method for finding the scalar magnetic potential of the coil with the help of mutual inductance of the coil and the elementary loop. The magnetic flux density of the coil is found as the gradient of the scalar magnetic potential. The proposed analysis is verified using two examples, which are thin-wall air coils with a shape of finite cylinder of circular and rectangular cross sections. The magnetic flux density calculated by the presented method is compared with other approaches for both examples with excellent agreement.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2015.2472526