中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1532-1538.doi: 10.1088/1009-1963/15/7/026

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Stability of tokamak plasmas with internal transport barriers against high n ideal magnetohydrodynamic ballooning mode

石秉仁, 曲文孝   

  1. Southwestern Institute of Physics, Chengdu 610041, China
  • 收稿日期:2005-11-09 修回日期:2006-04-04 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10375018).

Stability of tokamak plasmas with internal transport barriers against high n ideal magnetohydrodynamic ballooning mode

Shi Bing-Ren (石秉仁), Qu Wen-Xiao (曲文孝)   

  1. Southwestern Institute of Physics, Chengdu 610041, China
  • Received:2005-11-09 Revised:2006-04-04 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10375018).

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摘要： 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.

关键词: toroidal effect, ballooning mode, internal transport barrier

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.

Key words: toroidal effect, ballooning mode, internal transport barrier

中图分类号:  (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))

  • 52.35.Py
52.25.Fi (Transport properties) 52.55.Fa (Tokamaks, spherical tokamaks) 52.55.Tn (Ideal and resistive MHD modes; kinetic modes) 52.65.-y (Plasma simulation)