A toroidal, elliptic cross-section, sharp-boundary model of a high-pressure tokamak with currents confined to the surface, is tested for stability against kink modes. It is shown that the optimum configuration corresponds to a vertical ellipse in which the ratio of the major to minor axes is 2.2. For this case, the maximum critical β for stability against kink modes is β = 0.37a/R. For β > 0.37a/R the model is unstable for all values of the safety factor above and below the Kruskal-Shafranov limit.
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Freidberg et al. (1974) studied this question.
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