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On eddy currents in thin plates

Über Wirbelströme in dünnen Platten

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A method of calculation of eddy currents in thin plates is presented. The stationary eddy-current problem is solved by using a scalar potential. The reaction of the eddy currents on the magnetic field is taken into account by application of an integral equation. Further, a combination of finite elements with the integral equation is presented to calculate an approximated solution for optional configuration of the plate. The paper is a continuation of [2].

Übersicht

Es wird eine Methode zur Berechnung der Wirbelströme in dünnen Platten dargestellt. Zur Lösung der stationären Wirbelstromproblem wird ein skalares Potential verwendet. Der Einfluß der Wirbelströme auf das Magnetfeld wird mit Hilfe einer Integralgleichung erfaßt. Außerdem wird eine Kombination der Methode der finiten Elemente mit der Integralgleichung beschrieben, die eine Näherungslösung für eine beliebige Konfiguration der Platte gestattet. Die Arbeit ist als Erweiterung der Untersuchungen von [2] gedacht.

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Abbreviations

B 0 :

magnetic flux density of an external source

e z :

unit-vector

F(u) :

functional

g :

thickness of plate

H :

magnetic intensity

J :

eddy-current density

j:

\( = \sqrt { - 1} \)

k 2 :

=jω µ 0 γ

M, N :

points in space

r MN :

distance between pointsMN

S :

surface of analysed plate

X, Y :

transformation matrices

u :

scalar potential

x, y, z :

Cartesian coordinates

γ:

conductivity

µ0 :

permeability of free space

ω:

angular frequency

References

  1. Albach, M.; Hannakam, L.: Berechnung der Wirbelströme in einer leitenden Kreisscheibe und einer dünnen Platte. Arch. Elektrotech. 64 (1981) 221–227

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  2. Krakowski, M.: Eddy-current losses in thin circular and rectangular plates. Arch. Electrotech. 64 (1982) 301–307

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  3. Krakowski, M.: Eddy currents in a metallic disk and axial force on it due to suddenly applied magnetic field. Arch. Elektrotech. 65 (1982) 11–13

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  4. Lammeraner, J.; Štafl, M.: Eddy currents. London: Iliffe 1966

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  5. Nolle, E.: Leitende Scheibe und dünne Platte im magnetischen Wechselfeld. Arch. Elektrotech. 64 (1981) 215–220

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  6. Popović, B. D.; Popović, Z. D.: Method of determining powerfrequency current distribution in cylindrical conductors. Proc. IEEE, 119 (1982) 569–574

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Authors and Affiliations

  1. Osiedle Czecha 115 m 7, 61-291, Poznań, Poland

    J. Poltz PhD. EE

Authors
  1. J. Poltz PhD. EE
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Poltz, J. On eddy currents in thin plates. Archiv f. Elektrotechnik 66, 225–229 (1983). https://doi.org/10.1007/BF01675672

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  • DOI: https://doi.org/10.1007/BF01675672

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