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Low aspect-ratio MHD toroidal equilibria

Published online by Cambridge University Press:  13 March 2009

Luciano De Menna  and
Stefano Martini
Luciano De Menna
Affiliation:
Università di Napoli, Istituto di Elettrotecnica, Via Claudio 21, 80125 Napoli, Italy
Stefano Martini
Affiliation:
Università di Padova, Istituto di Elettrotecnica, Via Gradenigo 6A, 35131 Padova, Italy
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Abstract

In this paper a new approach to the approximate solution of the MHD equilibrium equation is described. The axisymmetric equilibrium equation is first transformed to a time-independent Schrödinger equation and then solved by the Ritz method in a suitable rotational co-ordinate system, the validity of the solution being not limited to large aspect-ratio configurations. The zeroth-order approximation is analytically computed and the relationship between the poloidal beta and the shift of the magnetic axis is derived. To the same order, the adiabatic compression of the plasma ring is studied and a non-dimensional compression chart is obtained. Results of numerical computations of the higher orders are also reported.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 2 , October 1984 , pp. 319 - 330
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

De Menna, L. 1977 Nucl. Fusion, 17, 3.CrossRefGoogle Scholar
De Menna, L. 1980 Alta. Frequenza XLIX, 1, 27.Google Scholar
Freidberg, J. P. & Goedbloed, J. P. 1976 Pulsed high-beta plasmas (ed. Evans, D. E.), p. 117. Pergamon.CrossRefGoogle Scholar
Goedbloed, J. P. 1981 Comp. Phys. Comm. 24, 311.CrossRefGoogle Scholar
Goedbloed, J. P. 1982 Phys. Fluids, 25, 2062.CrossRefGoogle Scholar
Herrnegger, F. 1972 Proceedings of 5th European Conference on Controlled Fusion and Plasma physics, Grenoble, vol. 1, p. 25.Google Scholar
Khait, V. D. 1980 Soviet J. Plasma Phys. 6, 476.Google Scholar
Mazzuccato, E. 1975 Phys. Fluids, 18, 15.CrossRefGoogle Scholar
Moon, P. & Spencer, D. E. 1961 Field Theory Handbook, p. 49. Springer.CrossRefGoogle Scholar
Morse, M. P. & Feshbach, H. 1953 Methods of Theoretical Physics, vol. 2, p. 1117. McGraw-Hill.Google Scholar
Shafranov, V. D. 1966 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 2, p. 103. Consultants Bureau.Google Scholar