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A general method for calculating the self-induced magnetic force of an axisymmetric toroidal current

Published online by Cambridge University Press:  13 March 2009

S. Bobbio
Affiliation:
Istituto di Elettrotecnica dell'Università di Napoli, Italy
G. Rubinacci
Affiliation:
Istituto di Elettrotecnica dell'Università di Napoli, Italy

Abstract

A method is presented for computing the class of axisymmetric current distributions flowing in a torus whose peripheral surface is a flux surface for the magnetic field produced by the current itself. The method allows the correct calculation of the ‘self-induced’ magnetic forces arising from the interaction between these currents and their own field. The general expression for the self-induced force is given and an approximate formula is presented in the large aspect-ratio limit.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Anzer, U. 1978 Solar Phys. 57, 111.CrossRefGoogle Scholar
Grad, H. & Rubin, H. 1958 Proceedings of 2nd International Conference on Peaceful Uses of Atomic Energy, Geneva, vol. 31, p. 190.Google Scholar
Mukhovatov, U. S. & Shafranov, V. D. 1971 Nucl. Fusion, 71, 605.CrossRefGoogle Scholar
Tayler, R. J. 1960 UKAEA Report AERE–M563.Google Scholar
Yeh, T. 1980 J. Plasma Phys. 24, 533.Google Scholar