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

I-cored Coil Probe Located Above a Conductive Plate with a Surface Hole References[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] 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] 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] 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] 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.[6] Hao, K., Huang, S., Zhao, W., Wang, S., Dong, J. (2011). Analytical modelling and calculation of pulsed magnetic field and input impedance for EMATs with planar spiral coils. NDT&E International, 44 (3), 274–280.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000288765300005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[7] Theodoulidis, T.P., Kriezis, E.E. (2006). Eddy Current Canonical Problems (With Applications to Nondestructive Evaluation). Duluth (Georgia), USA: Tech Science Press.[8] Lu, Y., Bowler, J.R, Theodoulidis, T.P. (2012). An analytical model of a ferrite-cored inductor used as an eddy current probe. Journal of Applied Physics, 111 (10), 103907.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000305363700098&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[9] Tytko, G. Dziczkowski, L. (2015). E-cored coil with a circular air gap inside the core column used in eddy current testing. IEEE Transactions on Magnetics, 51 (9), 6201804.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000360405200014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[10] Chunfeng, L., Wei, T., Huaming, L., Yingying, J., Hui, Z. (2015). Analytical modeling for the grating eddy current displacement sensors. Measurement Science Review, 15 (1), 44-51.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351200800007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[11] Tytko, G., Dziczkowski, L. (2017). An analytical model of an I-cored coil with a circular air gap. IEEE Transactions on Magnetics, 53 (4), 6201104.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000403475300011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[12] Delves, L.M., Lyness, J.N. (1967). A numerical method for locating the zeros of an analytic function. Mathematics of Computation, 21 (100), 543–560.[13] Dellnitz, M., Schütze, O., Zheng, Q. (2002). Locating all the zeros of an analytic function in one complex variable. Journal of Computational and Applied Mathematics, 138 (2), 325-333. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Measurement Science Review de Gruyter

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

, Volume 18 (1): 6 – Feb 1, 2018
6 pages

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Publisher
de Gruyter
Copyright
© 2018 Grzegorz Tytko et al., published by De Gruyter Open
ISSN
1335-8871
eISSN
1335-8871
D.O.I.
10.1515/msr-2018-0002
Publisher site
See Article on Publisher Site

### Abstract

References[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] 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] 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] 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] 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.[6] Hao, K., Huang, S., Zhao, W., Wang, S., Dong, J. (2011). Analytical modelling and calculation of pulsed magnetic field and input impedance for EMATs with planar spiral coils. NDT&E International, 44 (3), 274–280.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000288765300005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[7] Theodoulidis, T.P., Kriezis, E.E. (2006). Eddy Current Canonical Problems (With Applications to Nondestructive Evaluation). Duluth (Georgia), USA: Tech Science Press.[8] Lu, Y., Bowler, J.R, Theodoulidis, T.P. (2012). An analytical model of a ferrite-cored inductor used as an eddy current probe. Journal of Applied Physics, 111 (10), 103907.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000305363700098&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[9] Tytko, G. Dziczkowski, L. (2015). E-cored coil with a circular air gap inside the core column used in eddy current testing. IEEE Transactions on Magnetics, 51 (9), 6201804.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000360405200014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[10] Chunfeng, L., Wei, T., Huaming, L., Yingying, J., Hui, Z. (2015). Analytical modeling for the grating eddy current displacement sensors. Measurement Science Review, 15 (1), 44-51.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351200800007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[11] Tytko, G., Dziczkowski, L. (2017). An analytical model of an I-cored coil with a circular air gap. IEEE Transactions on Magnetics, 53 (4), 6201104.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000403475300011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3[12] Delves, L.M., Lyness, J.N. (1967). A numerical method for locating the zeros of an analytic function. Mathematics of Computation, 21 (100), 543–560.[13] Dellnitz, M., Schütze, O., Zheng, Q. (2002). Locating all the zeros of an analytic function in one complex variable. Journal of Computational and Applied Mathematics, 138 (2), 325-333.

### Journal

Measurement Science Reviewde Gruyter

Published: Feb 1, 2018

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