Extension of Stellarator Approximation in Magnetohydrodynamic Equilibrium and Stability of Toroidal Helical Systems

概要

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Formulation is made to solve three dimensional MHD equilibrium problem on thebasis of the coordinate transformation. The three dimensional problem is dividedinto three steps: 1) the hyperbolic equations to determine the coordinate transforma-tion, 2) averaged equation in two dimension, and 3) the three dimensional ellipticequation to deal with magnetic potential. The usual stellarator approximation oraveraging method is regarded as the first step of the iteration prcccedure to get the solu-tion of the full three dimensional problems. In fornnulating linear stability problem,the stellarator ordering is required; the resonance effect is ignored in the averaging formulation. Formulation of stability problems in the averaging method is also given, byignoring resonance effects. Some comparison for vacuum magnetic surfaces is madeto check the validity of the fornaulation.IMHD equilibrium, MHD stability, stellarator, helical system, averaging ll method, coordinate transfornaation, stellarator approximation, theoryl
社団法人日本物理学会の論文
1989-11-15