Analytical Model of an E-core Driver-pickup Coils Probe Applied to Eddy Current Testing of Multilayer Conductor
DOI:
https://doi.org/10.13052/2023.ACES.J.381110Keywords:
Analytical model, cylindrical conductor, E-core driver-pickup coils probe, eddy current testing, induced voltageAbstract
An analytical model of an E-core driver-pickup coils probe located above a multilayer conductor containing a hidden cylindrical conductor is presented. The truncated region eigenfunction expansion (TREE) method is used to deal with the axial symmetry problem, and the closed-form final expression of the induced voltage in the pickup coil is derived. The changes of the induced voltage in the pickup coil due to the hidden cylindrical conductor are examined and calculated in Mathematica. Experiments and finite element simulations are performed and the results are compared with the analytical results, and they are in good agreement.
Downloads
References
S. Zhang, “Analytical model of an I-core coil for nondestructive evaluation of a conducting cylinder below an infinite plane conductor,” Measurement Science Review, vol. 21, no. 4, pp. 99-105, 2021.
T. Theodoulidis and J. R. Bowler, “Impedance of a coil at an arbitrary position and orientation inside a conductive borehole or tube,” IEEE Transactions on Magnetics, vol. 51, no. 4, pp. 1-6, 2015.
T. Theodoulidis and R. J. Ditchburn, “Mutual impedance of cylindrical coils at an arbitrary position and orientation above a planar conductor,” IEEE Transactions on Magnetics, vol. 43, no. 8, pp. 3368-3370, 2007.
D. Desjardins, T. W. Krause, and L. Clapham, “Transient response of a driver-pickup coil probe in transient eddy current testing,” NDT & E International, vol. 75, pp. 8-14, 2015.
H. Huang and T. Takagi, “Inverse analysis for natural and multicracks using signals from a differential transmit-receive ECT probe,” IEEE Transactions on Magnetics, vol. 38, no. 2, pp. 1009-1012, 2002.
S. Zhang and C. Ye, “Model of ferrite-cored driver-pickup coil probe application of TREE method for eddy current nondestructive evaluation,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 37, no. 5, pp. 632-638,2022.
Z. Chen, G. Preda, O. Mihalache, and K. Miya, “Reconstruction of crack shapes from the MFLT signals by using a rapid forward solver and an optimization approach,” IEEE Transactions on Magnetics, vol. 38, no. 2, pp. 1025-1028,2002.
W. Cheng, K. Miya, and Z. Chen, “Reconstruction of cracks with multiple eddy current coils using a database approach,” Journal of Nondestructive Evaluation, vol. 18, no. 4, pp. 149-160,1999.
C. V. Dodd and W. E. Deeds, “Analytical solutions to eddy current probe coil problems,” Journal of Applied Physics, vol. 39, no. 6, pp. 2829-2838, 1968.
T. Theodoulidis and E. E. Kriezis, Eddy Current Canonical Problems (With Applications to Nondestructive Evaluation), Tech Sci. Press, Duluth, Georgia, 2006.
S. Zhang, “An analytical model of a new T-cored coil used for eddy current nondestructive evaluation,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 35, no. 9, pp. 1099-1104, 2020.
G. Tytko and L. Dziczkowski, “E-cored coil with a circular air gap inside the core column used in eddy current testing,” IEEE Transactions on Magnetics, vol. 51, no. 9, pp. 1-4, 2015.
G. Tytko, “An eddy current model of pot-cored coil for testing multilayer conductors with a hole,” Bulletin of the Polish Academy of Sciences Technical Sciences, vol. 68, no. 6, pp. 1311-1317, 2020.
G. Tytko, “Measurement of multilayered conductive discs using eddy current method,” Measurement, vol. 204, pp. 112053, 2022.
S. Zhang, “Analytical model of a T-core coil above a multi-layer conductor with hidden hole using the TREE method for nondestructive evaluation,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 40, no. 6, pp. 1104-1117, 2021.
D. Vasic, D. Ambrus, and V. Bilas, “Computation of the eigenvalues for bounded domain eddy-current models with coupled regions,” IEEE Transactions on Magnetics, vol. 52, no. 6, 7004310, 2016.
G. Tytko and L. Dawidowski, “Locating complex eigenvalues for analytical eddy-current models used to detect flaws,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 38, no. 6, pp. 1800-1809, 2019.
T. Theodoulidis, A. Skarlatos, and G. Tytko, “Computation of eigenvalues and eigenfunctions in the solution of eddy current problems,” Sensors, vol. 23, no. 6, p. 3055, 2023.