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A recently proposed representation of MHD in terms of stream functions and potentials is further developed, in order to treat stability problems on various levels of complexity. In the first part of this work, nonlinear reduced MHD equations are derived, for which an energy principle for stability is established. For a toroidal plasma, this energy principle yields the same ideal MHD stability limits as the appropriate aspect ratio expansion of the full MHD equations. The nonlinear reduced equations lead to the formulation of the problem of the bifurcation of a solution of the internal kink type. In the second part of this work, the representation of MHD is generalised to include kinetic effects. As in the pure MHD case, a stationary reference magnetic field B(0) is introduced (which need not be a static equilibrium field) to describe the particle motion and to express the distribution functions. The general features of this formulation, which enables nonlinear problems including kinetic effects to be treated, are discussed.

Additional information

Authors: MASCHKE E K, CEA, Département de Recherches sur la Fusion Contrôlée, Saint-Paul-lez-Durance (FR)
Bibliographic Reference: Paper presented: Sherwood International Fusion Theory Conference, Seattle (US), April 22-24, 1991
Availability: Available from (1) as Paper EN 36052 ORA
Record Number: 199110860 / Last updated on: 1994-12-02
Original language: en
Available languages: en
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