NDLI: Boundary-Integral method for calculating poloidal axisymmetric AC magnetic fields

Content Provider	IEEE Xplore Digital Library
Author	Priede, J. Gerbeth, G.
Copyright Year	1965
Abstract	This paper presents a boundary-integral equation (BIE) method for the calculation of poloidal axisymmetric magnetic fields applicable in a wide range of ac frequencies. The method is based on the vector potential formulation, and it uses the Green's functions of Laplace and Helmholtz equations for the exterior and interior of conductors, respectively. The paper focuses on a calculation of axisymmetric Green's function for the Helmholtz equation which is both simpler and more accurate than previous approaches. We use three different techniques for calculation of Green's function, depending on the parameter range. For low and high ac frequencies, we use a power series expansion in terms of elliptical integrals and an asymptotic series in terms of modified Bessel functions of second kind, respectively. For the intermediate frequency range, we use Gauss-Chebyshev-Lobatto quadratures. We verify the accuracy of the method by comparing its results with the analytical solution for a sphere in a uniform external ac field. We illustrate the application of the method by analyzing a composite model inductor containing an external secondary circuit.
Sponsorship	IEEE Magnetics Society
Starting Page	301
Ending Page	308
Page Count	8
File Size	312558
File Format	PDF
ISSN	00189464
Volume Number	42
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Magnetic fields Conductors Integral equations Magnetic analysis Laplace equations Frequency Electromagnetic fields Inductors Eddy currents Magnetic materials integral equations Boundary-element method electrical engineering computing Green function Helmholtz equations
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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