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Analytical solutions in eddy current testing of layered metals with continuous conductivity profiles

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3 Author(s)
Theodoulidis, T.P. ; Dept. of Electr. & Comput. Eng., Aristotelian Univ. of Thessaloniki, Greece ; Tsiboukis, T.D. ; Kriezis, E.E.

In this paper exact analytical expressions for the impedance of a cylindrical air-core coil above a layered metal structure whose conductivity varies continuously with depth are presented. Although the model is general, attention is focused on three conductivity profiles: the linear, the quadratic and the exponential. The derived expressions for the impedance change for each profile could provide a useful tool for the solution of the inverse problem: that of determining the conductivity from variable frequency measurements of the impedance. Furthermore, the obtained final formulas contain elegant mathematical functions and show a substantially higher computational efficiency with respect to existing methods

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Magnetics, IEEE Transactions on  (Volume:31 ,  Issue: 3 )