Abstract
Recent observations of Alfvén wave excitations in stellarator geometry and their successful description by the global magnetohydrodynamic (MHD) stability code CAS3D (Code for the Analysis of the MHD Stability of 3D Equilibria) [C. Nührenberg, Phys. Plasmas 6, 137 (1998)] have raised the question of to what extent a fast particle population may destabilize such modes. In answering this question a theoretical basis must be developed through which the influence of fast particles upon global MHD modes in realistic three-dimensional geometries can be investigated. As a first step towards this goal, a linearized drift-kinetic equation for electro-magnetic perturbations is derived and solved. It is furthermore shown that a generalized kinetic MHD energy integral exists which is nonlinear with respect to the mode frequencies. This energy integral agrees with previous less general results in their limits.
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