PDF Печать E-mail


DOI: https://doi.org/10.15407/techned2018.01.003 


THREE-DIMENSIONAL QUASI-STATIONARY ELECTROMAGNETIC FIELD GENERATED BY ARBITRARY CURRENT CONTOUR NEAR CONDUCTING BODY

Journal Tekhnichna elektrodynamika
Publisher Institute of Electrodynamics National Academy of Science of Ukraine
ISSN 1607-7970 (print), 2218-1903 (online)
Issue No 1, 2018 (January/February)
Pages 3 – 12

 

Authors
Yu.M. Vasetsky*, K.K. Dziuba
Institute of Electrodynamics National Academy of Sciences of Ukraine,
pr. Peremohy, 56, Kyiv, 03057, Ukraine,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
* ORCID ID : http://orcid.org/0000-0002-4738-9872

 

Abstract

The analytical method is developed to calculate the three-dimensional quasi-stationary electromagnetic field generated by arbitrary spatial current contour near the conducting body with plane surface. By the use of displacement currents in dielectric region under quasi-stationary approximation, in addition to the results presented earlier, the solution for the scalar potential and electric intensity in entire dielectric half-space is found. Owing to the established fact of vertical zero components of the electric intensity and current density in conducting half-space, the electric field of surface charge compensates completely the vertical component of induced electric intensity of the initial current system. As an example, the electric intensity and surface electric charge density are calculated for the current contour configuration typical for technological systems. References 13, figures 3.

 

Key words: analytical method, spatial current contour (closed loop), eddy currents, 3D quasi-stationary electromagnetic field.

 

Received:     15.08.2017
Accepted:     25.08.2017
Published:   29.01.2018

 

References

1. Acero J., Alonso R., Burdio J.M., Barragan L.A., Puyal D. Analytical Equivalent Impedance for a Planar Induction Heating System. IEEE Transaction on Magnetics. 2006. Vol. 42. No 1. Pp. 84–86. https://doi.org/10.1109/TMAG.2005.854443

2. Babutsky A., Chrysanthou A., Ioannou J. Influence of pulsed electric current treatment on corrosion of me-tals. Strength of materials. 2009. Vol. 41. No 4. Pp. 387–391. https://doi.org/10.1007/s11223-009-9142-3
3. Batygin Yu.V., Golovashchenko S.F., Gnatov A.V. Pulsed electromagnetic attraction of nonmagnetic sheet. Journal of Materials Processing Technology. 2014. Vol. 214. Issue 2. Pp. 390–401. https://doi.org/10.1016/j.jmatprotec.2013.09.018
4. Kondratenko I.P., Rashchepkin A.P. Induction heating of moving strip by current contours. Tekhnichna elektrodynamika. 1999. No 3. Pp. 3–9. (Rus)
5. Makarov V.M. Vector potential of the curvilinear wire laying in a vertical plane over the ground. Elektronnoe modelirovanie. 1987. Vol. 9. No 2. Pp. 41–45.
6. Shimoni K. Theoretical electrical engineering. Moskva: Mir, 1964. 775 p. (Rus)
7. Tozoni O.V. Method of secondary sources in electrical engineering. Moskva: Energiia, 1975. 296 p. (Rus)
8. Tozoni O.V., Maergoyz I.D. Calculation of three-dimensional electromagnetic fields. Kyiv: Tekhnika, 1974. 352 p. (Rus)
9. Tsitsikyan G.N. Electromagnetic field of linear current conductor parallel to boundary plane of "air medium – conducting half-space". Elektrichestvo. 1997. No 12. Pp. 55–61. (Rus)
10. Vasetsky Yu.M. Asymptotic methods for solving the problems of electrodynamics in the systems with bulky curvilinear conductors. Kyiv: Naukova dumka, 2010. 271 p. (Rus)
11. Vasetsky Yu.M. Electromagnetic field of pulsed current flowing above conducting half-space / Preprint No 721. Institut elektrodinamiki AN Ukrainy. Kyiv: 1992. 37 p. (Rus)
12. Vasetsky Yu.M., Dziuba K.K. Analytical method for calculation of quasi-stationary three-dimensional electromagnetic field generated by arbitrary current contour located near conducting body. Tekhnichna Elektrodynamika. 2017. No 5. Pp. 7–17. (Rus)
13. Vasetskiy Yu.M., Gorodzha L.V., Mazurenko I.L. Analytical method for calculation of electromagnetic field and power density in the system of current contour – conducting half-space. Tekhnichna Elektrodynamika. Tematychnyy vypusk Problemy suchasnoi elektrotekhniky. 2000. Part 2. Pp. 16–19. (Rus)