Publication detail

Simple calculation of eddy currents in a long passive conductor

COUFAL, O. BÁTORA, B. RADIL, L. TOMAN, P.

Original Title

Simple calculation of eddy currents in a long passive conductor

English Title

Simple calculation of eddy currents in a long passive conductor

Type

journal article in Web of Science

Language

en

Original Abstract

A method is proposed for the calculation of current density in a long solid metallic conductor placed in an external variable magnetic field. The external magnetic field is perpendicular to the conductor and constant on straight lines parallel to the conductor. The conductor is passive, connected to neither a voltage source nor a current source. It is assumed that the external magnetic field is quasi-stationary and is not affected by the magnetic field of the currents induced in the conductor under examination. The frequency of external field does not exceed 1~MHz and the displacement current is neglected. The proposed method enables the calculation of current density not only in the steady state but also in the case that the external field has an arbitrary time-dependent course. Results are given of the calculation of current density in conductors with symmetrical and unsymmetrical cross section, with constant and non-constant resistivity in the conductor cross section, for both homogeneous and non-homogeneous external steady-state sinusoidal field, and for switching the external sinusoidal field on and off.

English abstract

A method is proposed for the calculation of current density in a long solid metallic conductor placed in an external variable magnetic field. The external magnetic field is perpendicular to the conductor and constant on straight lines parallel to the conductor. The conductor is passive, connected to neither a voltage source nor a current source. It is assumed that the external magnetic field is quasi-stationary and is not affected by the magnetic field of the currents induced in the conductor under examination. The frequency of external field does not exceed 1~MHz and the displacement current is neglected. The proposed method enables the calculation of current density not only in the steady state but also in the case that the external field has an arbitrary time-dependent course. Results are given of the calculation of current density in conductors with symmetrical and unsymmetrical cross section, with constant and non-constant resistivity in the conductor cross section, for both homogeneous and non-homogeneous external steady-state sinusoidal field, and for switching the external sinusoidal field on and off.

Keywords

applied classical electromagnetism, magnetic induction, eddy currents, numerical simulation

Released

07.10.2019

Publisher

IOS Press

Location

NIEUWE HEMWEG 6B, 1013 BG AMSTERDAM, NETHERLANDS

ISBN

1383-5416

Periodical

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS

Year of study

61

Number

2

State

NL

Pages from

201

Pages to

214

Pages count

24

URL

Documents

BibTex


@article{BUT159325,
  author="Oldřich {Coufal} and Branislav {Bátora} and Lukáš {Radil} and Petr {Toman}",
  title="Simple calculation of eddy currents in a long passive conductor",
  annote="A method is proposed for the calculation of current density in a long solid metallic
conductor placed in an external variable magnetic field. The external magnetic field
is perpendicular to the conductor and constant on straight lines parallel to the
conductor. The conductor is passive, connected to neither a voltage source nor
a current source. It is assumed that the external magnetic field is quasi-stationary
and is not affected by the magnetic field of the currents induced in the conductor
under examination. The frequency of external field does not exceed 1~MHz and the
displacement current is neglected. The proposed method enables the calculation of
current density not only in the steady state but also in the case that the external
field has an arbitrary time-dependent course. Results are given of the calculation of
current density in conductors with symmetrical and unsymmetrical cross section,
with constant and non-constant resistivity in the conductor cross section, for both
homogeneous and non-homogeneous external steady-state sinusoidal field, and for
switching the external sinusoidal field on and off.",
  address="IOS Press",
  chapter="159325",
  doi="10.3233/JAE-180118",
  howpublished="print",
  institution="IOS Press",
  number="2",
  volume="61",
  year="2019",
  month="october",
  pages="201--214",
  publisher="IOS Press",
  type="journal article in Web of Science"
}