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Three-dimensional analysis of electromagnetic forces in some geometries with cylindrical symmetry

Dreidimensionale Analyse der elektromagnetischen Kräfte in verschiedenen rotationssymmetrischen Anordnungen

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Contents

The paper utilizes a three-dimensional analytical method in order to determine the values and distribution of electromagnetic forces acting on electrical systems provided with saddle coils. The method permits the calculation of the forces per unit volume, the pressures and the total forces acting on the coils, taking into account the end zones. Two application examples are given, referring to a dipole superconducting magnet and to a superconducting turboalternator.

Übersicht

Der Aufsatz benutzt eine dreidimensionale analytische Methode zur Berechnung der Werte und der Verteilung der elektromagnetischen Kräfte in elektrischen Systemen mit Sattelspulen. Die Methode erlaubt die Berechnung der Kräfte pro Volumeneinheit, der Drücke und die auf die Spulen wirkenden Gesamtkräfte unter Berücksichtigung der endlichen Länge. Die Methode wird auf einen zweipoligen supraleitenden Magnet und auf einen supraleitenden Synchrongenerator angewendet.

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Abbreviations

A, C :

integration constants

m, n :

tangential and axial harmonics

p :

number of pole pairs

I, K :

modified Bessel functions of the first and second kind

s :

Lommel functions

I′, K′ :

derivatives of Bessel functions with respect tor

q :

π/g

μ0 :

absolute magnetic permeability

μ z :

relative magnetic permeability of the axial shields

NI :

coil ampereturns

References

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Authors and Affiliations

  1. Istituto di Elettrotecnica e di Elettronica, Universita di Padova, Via Gradenigo 6/A, I-35131, Padova, Italy

    M. Andriollo,  S. Caparelli,  G. Martinelli &  A. Morini

Authors
  1. M. Andriollo
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  2. S. Caparelli
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  3. G. Martinelli
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  4. A. Morini
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Andriollo, M., Caparelli, S., Martinelli, G. et al. Three-dimensional analysis of electromagnetic forces in some geometries with cylindrical symmetry. Archiv f. Elektrotechnik 69, 261–269 (1986). https://doi.org/10.1007/BF01573606

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  • DOI: https://doi.org/10.1007/BF01573606

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