Propagation of a Periodic Nonsinusoidal Field Plane Electromagnetic Wave in a Conducting Semispace

  • Viktor N. TIMOFEYEV
  • Eduard R. VINTER
Keywords: electrical engineering, induction heating, nonsinusoidal periodic electromagnetic field, plane electromagnetic wave, conducting semispace, fourier series, complex coefficients

Abstract

The incidence of a planeel ectromagnetic wave with sinusoidally varying electric and magnetic field vectors on a conducting body is a principle that is widely used in induction heating devices. The article solves the problem about propagation in a conducting semispace of a nonsinusoidal periodic field plane electromagnetic wave produced by a flat inductor. The solution is obtained in the form of complex Fourier series. The differential and integral characteristics of the “inductor—conducting semispace” system a rede termined for different inductor time constan tvalues. The obtained results are compared with the electromagnetic parameters characterizing propagation of a sinusoidal field plane electromagnetic wave. The obtained results have passed an experimental check.

Author Biographies

Viktor N. TIMOFEYEV

TIMOFEYEV Viktor N. (Siberian Federal University (SFU), Krasnoyarsk, Russia) — Head of the Dept. «Electrotechnology and Electrical Engineering», Dr. Sci. (Eng.)

Eduard R. VINTER

VINTER Eduard R. (SFU, Krasnoyarsk, Russia) — Assistant of the Dept. «Electrotechnology and Electrical Engineering»

References

Нейман Л.Р., Демирчян К.С. Теоретические основы электротехники: Учебник для вузов, т. 2. Л.: Энергоиздат, 1981, 416 с.

Алиферов А.И., Лупи С. Индукционный и электроконтактный нагрев металлов. Новосибирск: Изд-во Новосибирско­го государственного технического университета, 2011, 411 с.

Нейман Л.Р., Демирчян К.С. Теоретические основы электротехники: Учебник для вузов, т. 1. Л.: Энергоиздат, 1981, 536 с.

Смирнов В.И. Курс высшей математики, т. 2. М.: Наука, 1974, 656 с.

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Neyman L.R., Demirchyan K.S. Teoreticheskiye osnovy elektrotekhniki, t. 2 (Theoretical principles of electrical engineering, vol. 2). Leningrad, Engergoizdat, 1981, 416 p.

Aliferov A.I., Lupi S. Induktsionnyi i elektrokontaktnyi nagrev metallov (Induction and electrocontact heating of metals). Novosibirsk, Novosibirsk State Technical University, 2011, 411 p.

Neyman L.R., Demirchyan K.S. Teoreticheskiye osnovy elektrotekhniki, t. 1 (Theoretical principles of electrical engineering, vol. 2). Leningrad, Energoizdat, 1981, 536 p.

Smirnov V.I. Kurs vysshey matematiki, t. 2 (Acourse of higher mathematics). Moscow, Nauka, 1974, 656 p.

Published
2019-04-19
Section
Article