Abstract
Fixed boundary n=1 magnetohydrodynamic instabilities are studied computationally as a function of diamagnetism (βp) and current profile in elongated toroidal equilibria (1<b/a⩽4). It is found that even slightly diamagnetic plasmas with a broad current profile and a highly elongated cross section are subject to a ballooning instability for q values well above unity at the magnetic axis. A peaked current profile in a mildly diamagnetic plasma decreases the elongation of the inner flux surfaces and reduces the marginal q value by suppressing ballooning modes. The maximum stable volume-averaged beta is achieved with a broad current profile and either a paramagnetic plasma (βp<1) with a highly elongated cross section (b/a≳2) or a diamagnetic plasma (βp≳1) with only a mildly elongated cross section (b/a<2).
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