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Stability of the n=1 ideal internal kink for large aspect ratio Shafranov equilibria

Technical Report:

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.
Authors:
Bondeson, A; [1]  Bussac, M N [2] 
  1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
  2. Ecole Polytechnique, 91 - Palaiseau (France). Centre de Physique Theorique
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
LRP-433/91
Reference Number:
SCA: 700340; PA: AIX-23:013662; SN: 92000639332
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUILIBRIUM PLASMA; ASPECT RATIO; KINK INSTABILITY; ANALYTICAL SOLUTION; BETA RATIO; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELECTRIC CURRENTS; ELLIPTICAL CONFIGURATION; LIMITING VALUES; M CODES; MAGNETOHYDRODYNAMICS; MERCIER CRITERION; POTENTIAL ENERGY; PRESSURE GRADIENTS; SAWTOOTH OSCILLATIONS; SHEAR; THEORETICAL DATA; 700340; PLASMA WAVES, OSCILLATIONS, AND INSTABILITIES
OSTI ID:
10111731
Research Organizations:
Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Country of Origin:
Switzerland
Language:
English
Other Identifying Numbers:
Other: ON: DE92614470; TRN: CH9100591013662
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
CHN
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}