Abstract
Stability limits for the ideal internal kink mode are calculated analytically for the Shafranov current profile using the large aspect ratio expansion. For equilibria with q(a)>2 and circular cross section, the maximum stable poloidal beta is below 0.1. In the absence of a conducting wall, an equilibrium with q(a)<2 is unstable at arbitrarily small positive poloidal beta or shear inside the q = 1 surface. The effects of non-circularity are discussed and quantitative results are given for elliptic cross sections. (author) 2 figs., 10 refs.
Bondeson, A;
[1]
Bussac, M N
[2]
- Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
- Ecole Polytechnique, 91 - Palaiseau (France). Centre de Physique Theorique
Citation Formats
Bondeson, A, and Bussac, M N.
Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria.
Switzerland: N. p.,
1991.
Web.
Bondeson, A, & Bussac, M N.
Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria.
Switzerland.
Bondeson, A, and Bussac, M N.
1991.
"Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria."
Switzerland.
@misc{etde_10111731,
title = {Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria}
author = {Bondeson, A, and Bussac, M N}
abstractNote = {Stability limits for the ideal internal kink mode are calculated analytically for the Shafranov current profile using the large aspect ratio expansion. For equilibria with q(a)>2 and circular cross section, the maximum stable poloidal beta is below 0.1. In the absence of a conducting wall, an equilibrium with q(a)<2 is unstable at arbitrarily small positive poloidal beta or shear inside the q = 1 surface. The effects of non-circularity are discussed and quantitative results are given for elliptic cross sections. (author) 2 figs., 10 refs.}
place = {Switzerland}
year = {1991}
month = {Sep}
}
title = {Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria}
author = {Bondeson, A, and Bussac, M N}
abstractNote = {Stability limits for the ideal internal kink mode are calculated analytically for the Shafranov current profile using the large aspect ratio expansion. For equilibria with q(a)>2 and circular cross section, the maximum stable poloidal beta is below 0.1. In the absence of a conducting wall, an equilibrium with q(a)<2 is unstable at arbitrarily small positive poloidal beta or shear inside the q = 1 surface. The effects of non-circularity are discussed and quantitative results are given for elliptic cross sections. (author) 2 figs., 10 refs.}
place = {Switzerland}
year = {1991}
month = {Sep}
}