The local three-dimensional (3-D) ideal magnetohydrodynamic (MHD) stability properties of a 12-field period torsatron device of moderate aspect ratio are investigated as a function of an externally applied quadrupole magnetic field. It is demonstrated that with a parabolic pressure profile the volume-averaged β limit due to the ballooning instabilities decreases from β≂2% to β≂1.5% as the current Imid in the quadrupole field coils normalized to that in the main helical coils increases from 0 to 0.19.
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Moeckli et al. (1994) studied this question.
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