Contents
An integro-differential equation is established for the azimuthal eddy current in a thin circular disc. The decay of the eddy current formed when a uniform magnetic field is applied across the disc is obtained as an expansion in exponentially decaying eigenmodes. The method is generalised to a pair of coaxial discs, enabling the measured field penetration into the end-plates of a rotamak to be reproduced.
Übersicht
Eine Integro-Differentialgleichung für den azimutalen Wirbelstrom in einer dünnen leitenden Kreisscheibe wird abgeleitet. Es folgt, daß der Abfall des Wirbelstromes, der in einer Kreisscheibe von einem homogenen magnetischen Feld induziert wird, als eine Reihe von exponentiell abfallenden Eigenmoden geschrieben werden kann. Die Methode wird für ein Paar koaxialer Kreisscheiben verallgemeinert, so daß die gemessene Felddurchdringung in der Endplatte eines Rotomaks wiedergegeben wird.
Similar content being viewed by others
References
Kameari, A.: Transient eddy current analysis on thin conductors with arbitrary conections and shapes. J. Comput. Phys. 42 (1981) 124–140
Weissenburger, D. W. & Christensen, U. R.: A network mesh method to calculate eddy currents on conducting surfaces. IEEE Trans. MAG-18 (1982) 422–425
Weissenburger, D. W. & Christensen, U. R.: Transient eddy currents on finite plane and toroidal conducting surfaces. Princeton Plasma Physics Laboratory-1517 (1979)
Nolle, E.: Leitende Scheibe und dünne Platte im magnetischen Wechselfeld. Arch. Elektrotech. 64 (1981) 215–220
Krakowski, M.: Eddy-current losses in thin circular and rectangular plates. Arch. Elektrotech. 64 (1982) 307–311
Prechtl, A. & Hass, H.: Some comments on the paper “Eddy current losses in thin circular and rectangular plates”. Arch. Elektrotech. 66 (1983) 231–232
Durance, G., Jessup, B. L., Jones, I. R. & Tendys, J.: Experimental observations of rotamak equilibria. Phys. Rev. Lett. 48 (1982) 1252–1255
Durance, G., Hogg, G. R., Tendys, J. & Watterson, P. A.: Studies of equilibrium in the AAEC rotamak. Plasma Phys. Contr. Fusion 29 (1987) 227–244
Batchelor, G. K.: Introduction to Fluid Mechanics. Cambridge: Cambridge Univ. Press 1967
Harrington, R. F.: Introduction to Electromagnetic Engineering. New York: McGraw-Hill 1958
Abromowitz, M. & Stegun, I. A.: Handbook of Mathematical Functions. New York: Dover 1970
Mihklin, S. G.: Integral Equations. London: Pergamon Press 1957
IMSL Version 1.0. Houston: IMSL Inc. 1987
Brown, W. M.: Analysis of Linear Time-Invariant Systems. New York: Mc Graw-Hill 1963
Morse, P. M. & Feschbach, H.: Methods of Theoretical Physics. New York: McGraw-Hill 1953
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Watterson, P.A. Magnetic field penetration into thin discs. Archiv f. Elektrotechnik 73, 353–363 (1990). https://doi.org/10.1007/BF01574271
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01574271