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Toroidal plasma equilibrium with arbitrary current distribution

Published online by Cambridge University Press:  13 March 2009

M. Y. Kucinski ,
I. L. Caldas ,
L. H. A. Monteiro  and
V. Okano
M. Y. Kucinski
Affiliation:
Instituto de Física, Universidade de São Paulo, O.P. 20.516, 01498 - São Paulo, SP, Brazil
I. L. Caldas
Affiliation:
Instituto de Física, Universidade de São Paulo, O.P. 20.516, 01498 - São Paulo, SP, Brazil
L. H. A. Monteiro
Affiliation:
Instituto de Física, Universidade de São Paulo, O.P. 20.516, 01498 - São Paulo, SP, Brazil
V. Okano
Affiliation:
Instituto de Física, Universidade de São Paulo, O.P. 20.516, 01498 - São Paulo, SP, Brazil
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Abstract

A new System of co-ordinates is found and a method developed to determine the toroidal equilibrium of plasmas with arbitrary current distribution and plasma cross-section. The method depends on knowledge of the equilibrium of a straight plasma column of similar cross-section and similar current distribution. A large aspect ratio is assumed. By successive approximations, better solutions can be obtained. An explicit formula is presented for the poloidal flux of a nearly circular plasma. This can be written in terms of a function related to the asymmetry of the poloidal field due to toroidality. The method works provided that there is only one magnetic axis.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 44 , Issue 2 , October 1990 , pp. 303 - 311
Copyright
Copyright © Cambridge University Press 1990

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References

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