Analytical Solution of an Eddy Current Problem for a Two-Layer Medium with Varying Electric Conductivity and Magnetic Permeabilit

MathematicalModels and Methods in Modern Science: Proceedings of the 2nd International Conference on Mathematical 2011
Valentīna Koliškina, Inta Volodko

Method of integral transforms is used in the present paper in order to construct an analytical solution of an eddy current problem describing the interaction of a coil with alternating current located above a two-layer planar conducting medium. The electric conductivity and magnetic permeability of the upper layer are modeled by exponential functions of the vertical coordinate while the properties of the lower half-space are assumed to be constant. The change in impedance of the coil is calculated in closed form. Results of numerical computations are presented.

Keywords
vector potential, integral transform, Bessel function
Hyperlink
http://www.wseas.us/e-library/conferences/2011/Tenerife/COMESDE/COMESDE-34.pdf

Koliškina, V., Volodko, I. Analytical Solution of an Eddy Current Problem for a Two-Layer Medium with Varying Electric Conductivity and Magnetic Permeabilit. In: MathematicalModels and Methods in Modern Science: Proceedings of the 2nd International Conference on Mathematical, Spain, Puerto de la Cruz, 10-12 December, 2011. [S.l.]: WSEAS Press, 2011, pp.196-200. ISBN 978-1-61804-055-8.

Publication language
English (en)