Analytical Solution of Eddy Current in Parallel Conducting Strips for Low-frequency Shielding Purposes

作者

  • Hamzeh M. Jaradat Department of Telecommunications Engineering, Hijjawi Faculty for Engineering Technology Yarmouk University, Irbid, P.O. Box 21163, Jordan
  • Qasem M. Qananwah Department of Biomedical Systems and Informatics Engineering, Hijjawi Faculty for Engineering Technology Yarmouk University, Irbid, P.O. Box 21163, Jordan
  • Ahmad M. Dagamseh Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology Yarmouk University, Irbid, P.O. Box 21163, Jordan
  • Qasem M. Al-Zoubi Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology Yarmouk University, Irbid, P.O. Box 21163, Jordan

##plugins.pubIds.doi.readerDisplayName##:

https://doi.org/10.13052/2023.ACES.J.380810

关键词:

Eddy current, electromagnetic (EM) shielding, quasistatic, shielding efficiency, shielding factor

摘要

In instrumentation systems, shielding is the main issue that judges the performance of the system. The electromagnetic (EM) noise may affect the performance of the instrumentation system if inadequate protection is reached. It is considered the main source of unprotectable interference that may affect these systems in many cases. In this paper, shielding is attained by wrapping the source carrying signal with periodic thin conductive strips separated by slots or openings. This arrangement will protect the sources from the outside EM fields. Shielding factor and shielding efficiency are studied by extracting magnetic fields. For this purpose, an analytical solution based on solving Laplace’s equation for the magnetic vector potential in the region of interest is presented. A closed form of the induced eddy current in the conductive strips is calculated based on Fourier series expansion. Furthermore, numerical simulation using the commercial software MWS CST is employed to validate the analytical solution. The performance of the proposed shielding structure is studied and analyzed in terms of shielding factor and shielding efficiency. The outcomes of both methods are showing very good agreement.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

##submission.authorBiographies##

##submission.authorWithAffiliation##

Hamzeh M. Jaradat received the Ph.D. degree in electrical and computer engineering from the University of Massachusetts Lowell (UML), USA. His current research includes electromagnetics modeling.

##submission.authorWithAffiliation##

Qasem M. Qananwah received the Ph.D. degree in biomedical engineering from Karlsruhe Institute of Technology, Karlsruhe, Germany. His research interest focuses on instrumentation systems, design, and modeling.

##submission.authorWithAffiliation##

Ahmad M. Dagamseh received his Ph.D. degree from the University of Twente in the Netherlands in 2011 in MEMS. His research interests include sensors, instrumentation systems, and modeling.

##submission.authorWithAffiliation##

Qasem M. Al-Zobi received his Ph.D. degree from the Technische Universitaet Berlin, Germany in 1990. His research interests include industrial electronics and external magnetic field screening.

参考

S. B. Kim, J. Y. Soh, K. Y. Shin, J. H. Jeong, and S. H. Myung, “Magnetic shielding performance of thin metal sheets near power cables,” IEEE Transactions on Magnetics, vol. 46, no. 2, pp. 682-685, 2010.

O. Bottauscio, M. Chiampi, and A. Manzin, “Numerical analysis of magnetic shielding efficiency of multilayered screens,” IEEE Transactions on Magnetics, vol. 40, no. 2, pp. 726-729, Mar. 2004.

L. Sandrolini, A. Massarini, and U. Reggiani, “Transform method for calculating low-frequency shielding effectiveness of planar linear multilayered shields,” IEEE Transactions on Magnetics, vol. 36, no. 6, pp. 3910-3919, Nov. 2000.

X. Di, “Magnetic shielding using electrical steel panels at extremely low frequencies” (doctoral dissertation, Cardiff University, UK), ProQuest Dissertations and Theses Global, 2008

H. H. Park, J. H. Kwon, S. I. Kwak, and S. Ahn, “Magnetic shielding analysis of a ferrite plate with a periodic metal strip,” IEEE Transactions on Magnetics, vol. 51, no. 8, pp. 1-8, Aug. 2015.

T. Saito and T. Shinnoh, “Applications using open-type magnetic shielding method,” Journal of the Magnetics Society of Japan, vol. 34, no. 3, pp. 422-427, 2010.

Y. Du and J. Burnett, “Magnetic shielding principles of linear cylindrical shield at power-frequency,” Proceedings of Symposium on Electromagnetic Compatibility, pp. 488-493, 1996.

A. M. Dagamseh, Q. M. Al-Zoubi, Q. M. Qananwah, H. M. Jaradat, “Modelling of electromagnetic fields for shielding purposes,” Applied Computation Electromagnetics Society (ACES) Journal, vol. 36, no. 8, pp. 1075-1082, Aug. 2021.

S. K. Burke and T. P. Theodoulidis, “Impedance of a horizontal coil in a borehole: a model for eddy-current bolthole probes,” J. Phys. D: Appl. Phys., vol. 37, no. 3, pp. 485-494, Jan. 2004.

Y. Zhilichev, “Analytical solutions of eddy-current problems in a finite length cylinder,” Advanced Electromagnetics, vol.7, no. 4, pp. 1-11, Aug. 2018.

X. Mao and Y. Lei, ”Analytical solutions to eddy current field excited by a probe coil near a conductive pipe,” NDT & E International, vol. 54, pp. 69-74, Mar. 2013.

V. L. Boaz, “Eddy current losses due to alternating current strips,” IEEE Transactions on Power Apparatus and Systems, vol. 94, no. 1, pp. 1-9, Jan. 1975.

A. Efremov, S. Ventre, L. Udpa, and A. Tamburrino, “Application of Dirichlet-to-Neumann map boundary condition for low-frequency electromagnetic problems,” IEEE Transactions on Magnetics, vol. 56, no. 11, pp. 1-8, Nov. 2020.

Z. Zeng, L. Udpa, S. S. Udpa, and M. S. C. Chan, “Reduced magnetic vector potential formulation in the finite element analysis of eddy current nondestructive testing,” IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 964-967, Mar. 2009.

J. R. Nagel, “Finite-difference simulation of eddy currents in nonmagnetic sheets via electric vector potential,” IEEE Transactions on Magnetics, vol. 55, no. 12, pp. 1-8, Dec. 2019.

J. R. Nagel, “Induced eddy currents in simple conductive geometries: Mathematical formalism describes the excitation of electrical eddy currents in a time-varying magnetic field,” IEEE Antennas and Propagation Magazine, vol. 60, no. 1, pp. 81-88, Feb. 2018.

B. de Halleux, O. Lesage, C. Mertes, and A. Ptchelintsev, “Analytical solutions to the problem of eddy current probes consisting of long parallel conductors,” in D. O. Thompson and D. E. Chimenti, eds, Review of Progress in Quantitative Nondestructive Evaluation, vol. 15, pp. 369-375,1996.

S. Celozzi, R. Araneo, and G. Lovat, Electromagnetic Shielding, Wiley, Hoboken, NJ, USA, 2008.

CST Microwave Studio, ver. 2014, Computer Simulation Technology, Framingham, MA, 2014.

H. A. Haus and J. R. Melcher, Electromagnetic Fields and Energy, Prentice Hall, Englewood Cliffs, NJ, USA, 1989.

##submission.downloads##

已出版

2023-08-31

##submission.howToCite##

[1]
H. M. . Jaradat, Q. M. . Qananwah, A. M. . Dagamseh, 和 Q. M. . Al-Zoubi, 《Analytical Solution of Eddy Current in Parallel Conducting Strips for Low-frequency Shielding Purposes》, ACES Journal, 卷 38, 期 08, 页 625–632, 8月 2023.

期

2023: Vol 38 Iss 8

栏目

General Submission

##category.category##