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Magnetohydrodynamic equilibria and local stability of axisymmetric tokamak plasmas

 

作者: Y‐K. M. Peng,   R. A. Dory,   D. B. Nelson,   R. O. Sayer,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1978)
卷期: Volume 21, issue 3  

页码: 467-475

 

ISSN:0031-9171

 

年代: 1978

 

DOI:10.1063/1.862246

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The Mercier stability criterion is evaluated for various axisymmetric magnetohydrodynamic equilibria in a systematic study of the effects of shaping on the plasma critical &bgr; (volume averaged pressure over the vacuum toroidal field pressure at the center of the plasma chamber). Pressure profiles that are similar to those observed in tokamak experiments are used. Equilibrium parameters of interest are elongation, &sgr;, and triangularity, &dgr;, of D‐shaped cross sections, aspect ratio,A, poloidal beta, &bgr;p, and pressure profile width,wp. Doublet plasmas with various &sgr; are also included for completeness. It is shown that, for fixed plasma shapes, the critical &bgr; values increase strongly with increasingwp(typically by a factor of roughly 4), while for fixed values ofwpthe critical &bgr; values have a weaker dependence on plasma shaping (typically by a factor of roughly 2). The effectiveness of shaping (to increase &bgr;) decreases with decreasingwp, and for experimental values ofwp(≲0.5) the best critical &bgr; values so determined is less than 6%. For fixedwpin D‐shaped plasmas,it is shown that the highest critical &bgr; occurs around &sgr;=1.65 and &dgr;=0.5. The critical &bgr; values increase strongly with decreasingA. However, if the toroidal field is fixed at the coil surface at the distance between the coils and the plasma edge is greater than half the minor radius, the highest critical pressure occurs whenA≳3–4. The doublet plasmas considered here with &sgr;=3 give critical &bgr; values that are similar to those of the optimal D‐shaped plasmas, when identical values ofwpare used.

 

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