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Surface source models and formulas for the magnetic field of polygonal cross section conductors

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1 Author(s)
Ciric, I.R. ; Dept. of Electr. Eng., Manitoba Univ., Winnipeg, Man., Canada

The magnetic field of long, straight conductors of arbitrary polygonal cross section, carrying current of given volume density, is modeled in terms of a distribution of fictitious magnetization inside each conductor and a distribution of fictitious surface current, using the Amperian model for magnetized media. Subsequently, this magnetization is replaced by an equivalent distribution of fictitious magnetic surface charge. As a result, the field calculation is reduced to that of the field due to a long strip of finite width, with simple distributions of surface charge and current. An elementary formula is derived for the field produced by a conductor of arbitrary polygonal cross section carrying a uniformly distributed current. The amount of computation is subsequently reduced compared to that needed for other methods, since a Laplacian scalar potential can be used in the absence of volume current density in these models

Published in:

Magnetics, IEEE Transactions on  (Volume:24 ,  Issue: 6 )

Date of Publication:

Nov 1988

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