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Electrodynamic forces in induction heating of bimetallic plates with planar circular coils

Elektrodynamische Kräfte bei Induktionsheizung einer Bimetallplatte durch ebene kreisförmige Spule

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Contents

The paper deals with the calculation of the electrodynamic forces acting on a planar circular coil placed over a bimetallic plate.

The analysis is carried out with reference to the induction heating of plates of magnetic and non-magnetic materials.

Übersicht

Die vorliegende Arbeit beschreibt die Berechnung der elektrodynamischen Kräfte zwischen einer Bimetallplatte und einer darüber befindlichen ebenen kreisförmigen Spule.

Die Analyse ist mit Bezug auf die Induktionsheizung der magnetischen und nicht magnetischen Platten durchgeführt.

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Abbreviations

J 0,J 1 :

Zero and first order Bessel functions of the first kind

H 0,H 1 :

Zero and first order Struve functions

Γ:

Legendre gamma function

r, φ,z :

cylindrical coordinates

R i ,R e :

inner and outer radii of the inductor coil

h :

distance between the inductor coil and the surface of the metal plate

s i :

thickness of the i-th layer of the plate

ω=2πf :

angular frequency

μ 0 :

permeability of free space

ϱ i ,μ i :

resistivity and relative permeability of the material of the i-th layer of the plate

\(\delta _i = \sqrt {\frac{{2\varrho _i }}{{\omega \mu _0 \mu _i }}} \) :

penetration depth of the induced currents in the i-th layer

N :

number of turns of the inductor coil

\(\dot I\) :

sinusoidal current in the inductor

\(\dot A\) :

magnetic potential vector

\(\dot B\) :

magnetic flux density

F z :

time average value of the force acting on the coil

P z (r,h) :

time average value of the pressure acting on the coil at radiusr.

References

  1. Lipinski, W.; Sikora, R.: Verluste und Kraftangriff von Wirbelströmen im leitenden Halbraum bei Zylindersymmetrischem magnetischen Wechselfeld. Arch. f. Elektrotech. 57 (1975) 173–175

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  2. Lipinski, W.: Elektrodynamische Kraftwirkungen auf Wirbelströme in einer leitenden Platte. Arch. f. Elektrotech. 59 (1977) 129–132

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  3. Lupi, S.: The numerical calculation of forces in induction heating systems. IEEE-IAS Ann. Meeting Conf. Record, Cleveland (USA), Oct. 1979, 1226–1231

  4. Di Pieri, C.; Lupi, S.: Electromagnetic forces in medium frequency induction heating. IX Congress Int. d'Electrothermie, Cannes, Oct. 1980, IV Ba 1, 1–11

  5. Lupi, S.: The Calculation of Planar Circular coils for the Induction Heating of Bimetallic Plates. Arch. f. Elektrotech. 60 (1978) 313–318

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Author information

Authors and Affiliations

  1. Institute of Electrical Engineering, University of Padua, Via Gradenigo, 6A Telex. n. 430 462 IEEUPD, 35100, Padua, (Italy)

    S. Lupi & C. Orefice

Authors
  1. S. Lupi
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  2. C. Orefice
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Additional information

Work supported by the C.N.R. (National Research Council)

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Lupi, S., Orefice, C. Electrodynamic forces in induction heating of bimetallic plates with planar circular coils. Archiv f. Elektrotechnik 63, 213–217 (1981). https://doi.org/10.1007/BF01574878

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  • DOI: https://doi.org/10.1007/BF01574878

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