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Stability analysis of the ideal m=n=1 kink mode in toroidal geometry by direct expansion of the hydromagnetic equations

Published online by Cambridge University Press:  01 February 1997

C. WAHLBERG  and
A. BONDESON
C. WAHLBERG
Affiliation:
Department of Technology, Uppsala University, Box 534, S-751 21 Uppsala, Sweden (EURATOM/NFR Fusion Association)
A. BONDESON
Affiliation:
Present address: Institute for Electromagnetic Field Theory, Chalmers University of Technology, Göteborg, Sweden. Department of Technology, Uppsala University, Box 534, S-751 21 Uppsala, Sweden (EURATOM/NFR Fusion Association)
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Abstract

The stability condition and growth rate of the ideal, internal m=n=1 kink mode in a toroidal plasma are calculated by means of a direct inverse-aspect-ratio expansion of the magnetohydrodynamic (MHD) equations, rather than by using the energy principle. The analysis is based on the use of computer-aided algebra. The general equation for incompressible MHD oscillations in a low-β circular tokamak is derived to lowest order in the inverse aspect ratio. This derivation generalizes the Pfirsch-Schlüter factor for the kinetic energy in toroidal geometry.

Type
Research Article
Information
Journal of Plasma Physics , Volume 57 , Issue 2 , February 1997 , pp. 327 - 341
Copyright
© 1997 Cambridge University Press

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