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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2019-01-16
Improving Efficiency of the Secondary Sources Method for Modeling of the Three-Dimensional Electromagnetic Field of Eddy Currents
By
Dmitriy M. Filippov,

    Dr. Dmitriy M. Filippov

    Institute of Physics and Technology

    V.I. Vernadsky Crimean Federal University

    Russian Federation

    Homepage

Alexandr A. Shuyskyy

    Dr. Alexandr A. Shuyskyy

    Institute of Physics and Technology V.I. Vernadsky Crimean Federal University

    Russian

    Homepage

Progress In Electromagnetics Research M, Vol. 78, 19-27, 2019
doi:10.2528/PIERM18102707 | Google Scholar

Abstract
A mathematical model is constructed for calculating a three-dimensional quasistationary electromagnetic field in a piecewise-homogeneous medium containing massive conductors which is excited by a variable magnetic field. The field is varying in time according to an arbitrary law. It is proposed to use the integral relation instead of the boundary condition written at a point, which allows one to get away from the problem of collocation points and at the same time increase the computational efficiency of the numerical model. The magnetic field is calculated for the case of the excitation of eddy currents in a conducting sample containing a cut of finite size. The results obtained are confirmed by natural experiments.
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Citation
Dmitriy M. Filippov, and Alexandr A. Shuyskyy, "Improving Efficiency of the Secondary Sources Method for Modeling of the Three-Dimensional Electromagnetic Field of Eddy Currents," Progress In Electromagnetics Research M, Vol. 78, 19-27, 2019.
doi:10.2528/PIERM18102707
References

1. Irazu, L. and M. J. Elejabarrieta, "Analysis and numerical modelling of eddy current damper for vibration problems," Journal of Sound and Vibration, Vol. 426, 75-89, July 2018.
doi:10.1016/j.jsv.2018.03.033        Google Scholar

2. Kuczmann, M., "Numerical analysis of eddy current field in laminated media," Pollack Periodica, Vol. 13, No. 2, 3-14, 2018.
doi:10.1556/606.2018.13.2.1        Google Scholar

3. Maraspin, F., P. Bevilacqua, and P. Rem, "Modelling the throw of metals and nonmetals in eddy current separations," International Journal of Mineral Processing, Vol. 73, No. 1, 1-11, 2004.
doi:10.1016/S0301-7516(03)00081-4        Google Scholar

4. Aubert, G., J.-F. Jacquinot, and D. Sakellariou, "Eddy current effects in plain and hollow cylinders spinning inside homogeneous magnetic fields: Application to magnetic resonance," Journal of Chemical Physics, Vol. 137, No. 15, 1-14, 2012.
doi:10.1063/1.4756948        Google Scholar

5. Yatchev, I., "Numerical eddy current modelling," Proc. XLVII ETRAN Conference, Vol. 2, 235-241, Herceg Novi, June 8–13, 2003.        Google Scholar

6. Heller, C. J., Handbook of Nondestructive Evaluation, McGraw-Hill, 2001.

7. Mohanty, I., R. Nagendran, A. V. T. Arasu, R. Baskaran, and A. Mani, "Correlation of defect depth with diffusion time of eddy currents for the defects in conducting materials by using transient eddy current NDE," Measurement Science and Technology, Vol. 29, No. 10, 215 pages, 2018, https://doi.org/10.1088/1361-6501/aad613.        Google Scholar

8. Zhilichev, Y., "Solutions of eddy-current problems in a finite length cylinder by separation of variables," Progress In Electromagnetics Research B, Vol. 81, 81-100, 2018.
doi:10.2528/PIERB18042704        Google Scholar

9. Nagel, J. R., "Induced eddy currents in simple conductive geometries," IEEE Antennas and Propagation Magazine, Vol. 60, No. 1, 81-88, 2018.
doi:10.1109/MAP.2017.2774206        Google Scholar

10. Nagel, J. R., "Fast finite-difference calculation of eddy currents in thin metal sheets," Applied Computational Electromagnetics Society Journal, Vol. 33, No. 6, 575-584, 2018.        Google Scholar

11. Pipis, K., A. Skarlatos, T. Theodoulidis, and D. Lesselier, "ECT-signal calculation of cracks near fastener holes using an integral equation formalism with dedicated Green’s kernel," IEEE Transactions on Magnetics, Vol. 52, No. 4, 1-8, April 2016.
doi:10.1109/TMAG.2015.2496189        Google Scholar

12. Bowler, J. R., "Eddy-current interaction with an ideal crack. I. The forward problem," Journal of Applied Physics, Vol. 75, No. 12, 8128-8137, 1994.
doi:10.1063/1.356511        Google Scholar

13. Bettini, P. and R. Specogna, "A boundary integral method for computing eddy currents in thin conductors of arbitrary topology," IEEE Transactions on Magnetics, Vol. 51, No. 3, 1-4, March 2015.        Google Scholar

14. Bettini, P., M. F. Palumbo, and R. Specogna, "A boundary element method for eddy-current problems in fusion devices," Fusion Engineering and Design, Vol. 96-97, 620-623, 2015.
doi:10.1016/j.fusengdes.2015.05.035        Google Scholar

15. Mayergoyz, I. D., "Boundary integral equations of minimum order for the calculation of three-dimensional eddy current problems," IEEE Transactions on Magnetics, Vol. 18, No. 2, 536-539, March 1982.
doi:10.1109/TMAG.1982.1061855        Google Scholar

16. Filippov, D. M., G. P. Kozik, A. V. Fursenko, and V. N. Fedorovsky, "The secondary sources method analysis and experimental modeling of the permanent magnet eddy currents suspansion," Proc. of 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 1-4, 2016.        Google Scholar

17. Halfla, W., A. Buchau, F. Groh, and W. M. Rucker, "Efficient integral equation method for the solution of 3-D magnetostatic problems," IEEE Transactions on Magnetics, Vol. 41, No. 5, 1408-1411, May 2005.
doi:10.1109/TMAG.2005.844342        Google Scholar

18. Adelman, R., N. A. Gumerov, and R. Duraiswami, "Computation of galerkin double surface integrals in the 3-D boundary element method," IEEE Transactions on Antennas and Propagation, Vol. 64, No. 6, 2389-2400, June 2016.
doi:10.1109/TAP.2016.2546951        Google Scholar

19. Stenroos, M. and J. Haueisen, "Boundary element computations in the forward and inverse problems of electrocardiography comparison of collocation and Galerkin Weightings," IEEE Transactions on Biomedical Engineering, Vol. 55, No. 9, 2124-2133, September 2008.
doi:10.1109/TBME.2008.923913        Google Scholar

20. Hantila, F. I., "Modelling eddy currents in the shields," COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 28, No. 4, 2009.
doi:10.1108/03321640910959035        Google Scholar

21. Shen, J., Z. Andjelic, and B. Schaub, "A hybrid single and dial simple layer bondary integral equation formulation for 3-D eddy currents," IEEE Transactions on Magnetics, Vol. 34, No. 5, 2636-2639, September 1998.
doi:10.1109/20.717610        Google Scholar

22. Ishibashi, K., Z. Andjelic, and D. Pusch, "Nonlinear eddy current analysis by BEM utilizing adaptive equation technique," IEEE Transactions on Magnetics, Vol. 45, No. 3, 1020-1023, March 2000.
doi:10.1109/TMAG.2009.2012548        Google Scholar

23. Berzhansky, V. N., D. M. Filippov, and N. V. Lugovskoy, "Magneto-optical visualization of eddy current magnetic fields," Physics Procedia, Vol. 82, 27-31, 2016.
doi:10.1016/j.phpro.2016.05.006        Google Scholar

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