Abstract

The stability of the n =1 internal kink mode in a tokamak is numerically analyzed for plasmas with a centrally peaked pressure profile. The effect of pressure profile is studied by the comparison of a strongly peaked pressure inside the q =1 surface with a parabolic pressure profile. The effects of shaping, i.e., elongation and triangularity, are also studied for the both pressure profiles. The plasma with the strongly peaked pressure profile has higher limiting value of poloidal beta defined within the q =1 surface than that of the parabolic pressure profile. Though the beta limit reduces with the increase of the elongation, the plasma with the peaked pressure profile has larger improvement due to the triangularity than that with the parabolic pressure profile. However, to enter the second stability region of the n =1 internal kink mode, the plasma with a flat pressure profile and the large minor radius of the q =1 surface is effective.

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