Abstract A ballooning mode equation for tokamak plasma, with the toroidicity and the Shafranov shift effects included, is derived for a shift circular flux tokamak configuration. Using this equation, the stability of the plasma configuration with an internal transport barrier (ITB) against the high n (the toroidal mode number) ideal magnetohydrodynamic (MHD) ballooning mode is analysed. It is shown that both the toroidicity and the Shafranov shift effects are stabilizing. In the ITB region, these effects give rise to a low shear stable channel between the first and the second stability regions. Out of the ITB region towards the plasma edge, the stabilizing effect of the Shafranov shift causes the unstable zone to be significantly narrowed.
Received: 09 November 2005
Revised: 04 April 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10375018).
Cite this article:
Shi Bing-Ren (石秉仁), Qu Wen-Xiao (曲文孝) Stability of tokamak plasmas with internal transport barriers against high n ideal magnetohydrodynamic ballooning mode 2006 Chinese Physics 15 1532
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