NIFS-324

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Author(s):

V.D. Pustovitov

Title:

Quasisymmetry Equations for Conventional Stellarators

Date of publication:

Nov. 1994

Key words:

quasisymmetry, stellarator, stellarator approximation

Abstract:

General quasisymmetry condition, which demands the independence of B^2 on one of the angular Boozer coordinates, is reduced to two equations containing only geometrical characteristics and helical field of a stellarator. The analysis is performed for conventional stellarators with a planar circular axis using standard stellarator expansion. As a basis, the invariant quasisymmetry condition is used. The quasisymmetry equations for stellarators are obtained from this condition also in an invariant form. Simplified analogs of these equations are given for the case when averaged magnetic surfaces are circular shifted, in principle, in a conventional stellarator by a proper choice of two satellite harmonics of the helical field in addition to the main harmonic. Besides, there appears a restriction on the shift of magnetic surfaces. Thus, in general, the problem is closely related with that of self-consistent description of a configuration.

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