Abstract
The stability properties of pressure-driven ballooning and Mercier modes in general stellarator configurations are studied. A perturbation method originally introduced to study tokamak stability by Greene and Chance [Nucl. Fusion 21, 453 (1981)] is generalized to three-dimensional systems. The effects of profile variation can be examined by introducing self-consistent variations in equilibrium quantities to a localized region whose amplitudes are small but whose cross-field derivative is large. In the general case, the set of equilibria are characterized by two free functions, which can be chosen to be the local variation of pressure and rotational transform profiles (or pressure gradient and the field-line-averaged parallel current). In this way, stability curves for Mercier and ballooning modes in three-dimensional equilibria are generated that are analogous to the s-α curves used in studying tokamak equilibrium.
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