I-cored Coil Probe Located Above a Conductive Plate with a Surface Hole

Author:

Tytko Grzegorz1,Dziczkowski Leszek1

Affiliation:

1. Institute of Electronics, Faculty of Automatic Control, Electronics and Computer Science , The Silesian University of Technology , Akademicka 16, 44-100 , Gliwice , Poland

Abstract

Abstract This work presents an axially symmetric mathematical model of an I-cored coil placed over a two-layered conductive material with a cylindrical surface hole. The problem was divided into regions for which the magnetic vector potential of a filamentary coil was established applying the truncated region eigenfunction expansion method. Then the final formula was developed to calculate impedance changes for a cylindrical coil with reference to both the air and to a material with no hole. The influence of a surface flaw in the conductive material on the components of coil impedance was examined. Calculations were made in Matlab for a hole with various radii and the results thereof were verified with the finite element method in COMSOL Multiphysics package. Very good consistency was achieved in all cases.

Publisher

Walter de Gruyter GmbH

Subject

Instrumentation,Biomedical Engineering,Control and Systems Engineering

Reference13 articles.

1. [1] Theodoulidis, T.P., Bowler, J.R. (2004). The truncated region eigenfunction expansion method for the solution of boundary value problems in eddy current non-destructive evaluation. Review of Progress in Quantitative Nondestructive Evaluation, 24A, 403–408.

2. [2] Kolyshkin, A. (2013). Solution of direct eddy current problems with cylindrical symmetry. In Proceedings of the International Conference on Application of Contemporary Non-destructive Testing in Engineering, 4–6 September 2013. Portoroz, Ljubljana, Slovenia: University of Ljubljana, 347–351.

3. [3] Koliskina, V. (2014). Semi-analytical solution of an eddy current problem for a conducting medium with a surface flaw. International Journal of Mathematical Models and Methods in Applied Sciences, 8, 473-480.

4. [4] Theodoulidis, T.P., Bowler, J.R. (2005). Eddy-current interaction of a long coil with a slot in a conductive plate. IEEE Transactions on Magnetics, 41 (4), 1238–1247.10.1109/TMAG.2005.844838

5. [5] Koliskina, V., Kolyshkin, A. (2015). Mathematical model for eddy current testing of metal plates with two cylindrical flaws. In IEEE 15th International Conference on Environment and Electrical Engineering (EEEIC), 10-13 June 2015, 374-377.

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