NDLI: Extension of Roth's method to three-dimensional multi-region Eddy current problems

Content Provider	IEEE Xplore Digital Library
Author	Pramanik, A.
Copyright Year	1965
Abstract	Roth's method for solving two-dimensional boundary value problems has now been extended to 3- dimensional, two-reglon problems in which eddy currents can flow in one of the regions. This has been done by resolving the vector potential of the air-space into 2 parts: One part is called the limiting potential which exists when the eddy-current region is replaced by an infinitely permeable region. This potential is expressed as a triple infinite series in trigonometric functions, the current producing the field being represented by a triple Fourier coefficient. The second component is a modifying potential which together with the eddy currents in the second region has to satisfy all the boundary and interface conditions. All the field and current distributions are obtainedas complex triple infinite series. Tests carried on an experimental model show good agreement with the theoretical results. The theory indicates that the eddy currents in the region of finite ρ will be parallel to the interface between the two regions whatever may be the relative position of the exciting current. Possibilities of further applications of this method to 3-region problems, discontinuous boundaries and linear machines etc are also mentioned.
Sponsorship	IEEE Magnetics Society
Starting Page	1526
Ending Page	1528
Page Count	3
File Size	320011
File Format	PDF
ISSN	00189464
Volume Number	11
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1975-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eddy currents Coils Current distribution Iron Testing Cognitive science Laplace equations Permeability Boundary conditions Shape
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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