Impedance of an Encircling Coil due to a Cylindrical Tube with Varying Properties
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32799
Impedance of an Encircling Coil due to a Cylindrical Tube with Varying Properties

Authors: Valentina Koliskina

Abstract:

Change in impedance of an encircling coil is obtained in the present paper for the case where the electric conductivity and magnetic permeability of a metal cylindrical tube depend on the radial coordinate. The system of equations for the vector potential is solved by means of the Fourier cosine transform. The solution is expressed in terms of improper integral containing modified Bessel functions of complex order.

Keywords: Eddy currents, magnetic permeability, Besselfunctions

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076752

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1718

References:


[1] N. Burais, and A. Nicolas, "Electromagnetic field analysis in remote field eddy current testing systems", IEEE Trans. Magn., vol. 25, pp. 3010-3012, 1989.
[2] C. Reboud, D. Prémel, D. Lesselier, and B. Bisiaux, "Recent advances in simulation of eddy current testing of tubes and experimental validations", Review of Quantitative Nondestructive Evaluation, vol. 26, pp. 241-248, 2007
[3] V. Monebhurrun, B. Duchêne, and D. Lesselier, "Three-dimensional inversion of eddy current data for nondestructive evaluation of steam generator tubes", Inverse Problems, vol. 14, pp. 707-724, 1998.
[4] J.F.P.J. Abascal, M. Lambert, D. Lesselier, and O. Dorn, "3D eddy current imaging of metal tubes by gradient-based, controlled evolution of level sets", IEEE Trans. Magn., vol. 44, pp. 4721-4729, 2008.
[5] C.V. Dodd, and W.E. Deeds, "Analytical solutions to eddy-current probe-coil problems", J. Appl. Phys., vol. 39, pp. 2829-2838, 1968.
[6] C.V. Dodd, W.E. Deeds, and J.W. Luquire, "Integral solutions to some eddy current problems", Int. J. Nondestructive Testing, vol. 1, pp. 29- 107, 1969.
[7] C.V. Dodd, C.C. Cheng, and W.E. Deeds, "Induction coils coaxial with an arbitrary number of cylindrical conductors", J. Appl. Phys., vol. 45, pp. 638-647, 1974.
[8] J.R. Bowler, and T.P. Theodoulidis, "Eddy currents induced in a conducting rod of finite length by a coaxial encircling coil", J. Phys. D: Appl. Phys., vol. 38, pp. 2861-2868, 2005.
[9] C.-C. Tai, H.-C. Yang, and Y.-H. Liu, "Modeling the surface condition of ferromagnetic metal by the swept-frequency eddy current method", IEEE Trans. Magn., vol. 38, pp. 205-210, 2002.
[10] C.-C. Tai, "Characterization of coatings on magnetic metal using the swept-currency eddy current method", Rev. Sci. Instr., vol. 71, pp. 3161-3167, 2000.
[11] M.Ya. Antimirov, A.A. Kolyshkin, and R. Vaillancourt, Mathematical models for eddy current testing. Montreal: CRM, 1997.
[12] A.D. Polyanin, and V.F. Zaitsev, Handbook of exact solutions for ordinary differential equations . Florida: Chapman&Hall/CRC, 2003.