Electromagnetic Effect of Eddy Currents in Composites with Conductive Components: Magnetic Field Strengthening and its Simple Analytical Estimation

Abstract:

Composites and dynamic materials that include conductive components are becoming a suitable choice in different applications. The eddy currents are generated when the conductive components are placed in alternating magnetic field. The eddy currents decrease the primary field and this effect has been well studied and it is used for electromagnetic shielding. Besides, the magnetic field increases in small space near edges of the conductive components. While this effect of magnetic field strengthening is known, it is rarely examined. We will introduce a simple model that can be appropriate for the conductive components in form of long thin sheets. We analytically analyze the model and obtain expressions that give upper bounds for increasing of the net magnetic field. The electromagnetic effect of strengthening should be taken into account when considering an application of the composites. The results are useful for electromagnetic compatibility analysis, non-destructive testing and monitoring of composite and dynamic materials with conductive components.

• Periodical: Solid State Phenomena (Volume 284)
• Pages: 37-42
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.284.37
• Online since: October 2018
• Authors: R.R. Sattarov*, T.A. Volkova, I.Z. Gubaydullin
• Keywords: Alternating Magnetic Field, Composites with Conductive Components, Conducting Sheet, Eddy Currents, Magnetic Field Strengthening, Rectangular Loop

References

[1] R.R. Sattarov, E.F. Galiakberova, Design and basic consideration of electromagnetic heating yarns with Foucault currents for smart functional fabrics, Solid State Phenom. 265 (2017) 772-778.

DOI: 10.4028/www.scientific.net/ssp.265.772

[2] R.F. Aletdinov, T.A. Volkova, A.F. Shishkina, Electrostatic voltmeter for determine the parameters of electric field on the aircraft, Aerosp. Instrument-Making. 10 (2015) 47-52.

[3] S.G. Konesev et al., Research on stabilization properties of inductive-capacitive transducers based on hybrid electromagnetic elements, J. Phys. Conf. Ser. 803, 1 (2017) 12-76.

DOI: 10.1088/1742-6596/803/1/012076

[4] M.A. Alam, M.H. Azarian, M.G. Pecht, Embedded capacitors in printed wiring board: A technological review, J. Electron. Mater. 41, 8 (2012) 2286-2303.

DOI: 10.1007/s11664-012-2044-3

[5] S.J. Leigh et al., A simple, low-cost conductive composite material for 3D printing of electronic sensors, PLoS One. Public Library of Science.7, 11 (2012). e49365.

DOI: 10.1371/journal.pone.0049365

[6] E.E. Kriezis et al., Eddy currents: theory and applications, Proc. IEEE. 80 , 10 (1992) 1559–1589.

DOI: 10.1109/5.168666

[7] I.K. Khairullin, F.R. Ismagilov, R.R. Sattarov, Electromagnetic dampers with longitudinal slots in the hollow rotor, Russ. Electr. Eng. Allerton. 71, 8 (2000) 33-36.

[8] J. García-Martín, J. Gómez-Gil, E. Vázquez-Sánchez, Non-destructive techniques based on eddy current testing, Sensors. 11, 3 (2011) 2525-2565.

DOI: 10.3390/s110302525

[9] Y.G. Andreeva, I.А.A. Semina, A.S. Orlov, The research of three-dimensional magnetic field of the hybrid magnetic system in the ANSYS Maxwell program, 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics). 2 (2016) 1-4.

DOI: 10.1109/dynamics.2016.7818964

[10] R.R. Sattarov, Electromechanical transients in passive suspension systems with eddy current dampers, 2016 IX International Conference on Power Drives Systems (ICPDS), IEEE, (2016) 1-5.

DOI: 10.1109/icpds.2016.7756676

[11] R.R. Sattarov, Study of the electromagnetic torque reverse effect of the electromechanical damping elements, Electricity. 8 (2010) 67-71.

[12] V.Y. Roginsky, Electromagnetic shielding. Leningrad, (1969).

[13] B.A. Clairmont, R.J. Lordan, 3-D modeling of thin conductive sheets for magnetic field shielding: calculations and measurements, IEEE Trans. Power Deliv. 14, 4 (1999) 1382-1391.

DOI: 10.1109/61.796232

[14] V.S. Grinchenko, K.V. Chunikhin, N.V. Grinchenko, Low-frequency magnetic field shielding by a circular passive loop and closed shells, Electr. Eng. electromechanics. 2 (2016) 20-23.

DOI: 10.20998/2074-272x.2016.2.03

[15] V.S. Grinchenko, K.V. Chunikhin, Homogeneous alternating magnetic field shielding by the conductive ring Electrical Engineering & Electromechanics. 2 (2015) 31-34.

DOI: 10.20998/2074-272x.2015.2.06

[16] B.A. Clairmont, Handbook of shielding principles for power system magnetic fields. Volume 1: Introduction and Application, (1994).

[17] K.J. Strnat, Modern permanent magnets for applications in electro-technology, Proc. IEEE. 78, 6 (1990) 923-946.

DOI: 10.1109/5.56908

[18] J. Coey, Permanent magnet applications, J. Magn. Magn. Mater. Elsevier. 248, 3 (2002) 441-456.

[19] R.R. Sattarov, F.R. Ismagilov, D.Y. Pashali, Investigation of the amplification of an electromagnetic field at the end wall of a conducting thin-wall body during its interaction with an alternating magnetic field, Russ. J. Nondestruct. Test. 52, 5 (2016).

DOI: 10.1134/s1061830916050053

[20] W.M. Frix, G.G. Karady, B.A. Venetz, Comparison of calibration systems for magnetic field measurement equipment, IEEE Trans. Power Deliv. 9, 1 (1994) 100-108.

DOI: 10.1109/61.277684

[21] P.L. Kalantarov, L.A. Cheitlin, Calculation of inductances, Leningrad: Energoatomizdat, (1986).