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Electrodynamic forces at thin non-magnetic tapes placed above ferromagnetic plates

Elektrodynamische Kräfte auf dünne, nicht-magnetische Bänder, die parallel zu einer ferromagnetischen Platte angeordnet sind

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Contents

A method of calculation of the current density and electrodynamic forces at thin non-magnetic tapes placed in parallel to thick ferromagnetic plate is presented. The integral equation approach is applied, which permits to obtain an approximate solution of the problem considered. The tapes of finite width are considered. As an example, forces as a function of position and time are given.

Übersicht

Es wird eine Methode zur Berechnung der Stromdichte und der elektrodynamischen Kräfte bei parallel zu einer dicken ferromagnetischen Platte angeordneten dünnen, nichtmagnetischen Bändern dargestellt. Eine Näherungslösung des betrachteten Problems wird mit Hilfe einer Integralgleichungsmethode erhalten, wobei ein Band mit endlicher Breite betrachtet wird. Als Beispiel werden die Kräfte in Abhängigkeit von Ort und Zeit angegeben.

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Abbreviations

A :

vector potential

B :

magnetic density

2d :

width of tape

h :

height of conductor above tape

l :

current in tape

J :

current density

k 2 :

jωμ 0 μ γ σ s

Δ:

thickness of tape

μ0 :

permeability of vacuum

σ r :

relative permeability of the ferromagnetic plate

μ:

conductivity of tape

σ s :

conductivity of steel plate

δ ij :

Kronecker delta

ω:

angular frequency

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Authors and Affiliations

  1. Department of Industrial Electrical Engineering, Technical University of Poznań, ul. Piotrowo 3a, 60-965, Poznań, Poland

    A. Patecki &  G. Szymański

Authors
  1. A. Patecki
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  2. G. Szymański
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Patecki, A., Szymański, G. Electrodynamic forces at thin non-magnetic tapes placed above ferromagnetic plates. Archiv f. Elektrotechnik 65, 93–96 (1982). https://doi.org/10.1007/BF01476699

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  • DOI: https://doi.org/10.1007/BF01476699

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