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Abstract

The equations of 3-dimensional plasma equilibrium based on the magnetic field representation with poloidal magnetic flux Psi and plasma current F are formulated. As a result, the description of 3-dimensional equilibrium configurations is obtained as a system of the following equations: an elliptic type equation for the poloidal flux, a magnetic differential equation (MDE) for the poloidal current and the equations for the base vector field b. For the resolution of the difficulties with possible singular solutions of the MDE on the rational toroidal magnetic surfaces small regularizing terms are introduced into the proposed system of equations. Second order differential terms with a small parameter are added to the MDE transforming it to an elliptic type equation. Several variants of such a regularization are proposed. The system of equations formulated can serve as a basis for a numerical code development of 3-dimensional equilibrium calculations with island structures.

Additional information

Authors: COOPER W A, Ecole Polytechnique Fédérale de Lausanne, Centre de Recherches en Physique des Plasmas (CH);GRUBER R, Centro Svizzero di Calcolo Scientifico, Manno (CH);DEGTYAREV L M, Russian Academy of Sciences, Keldysh Institute of Applied Mathematics, Moscow (SU);MARTYNOV A A, Russian Academy of Sciences, Keldysh Institute of Applied Mathematics, Moscow (SU);MEDVEDEV S Y, Russian Academy of Sciences, Keldysh Institute of Applied Mathematics, Moscow (SU);SHAFRANOV V D, Russian Research Center Kurchatov Institute, Institute of Nuclear Fusion, Moscow (SU)
Bibliographic Reference: Article: Plasma Physics Reports (1995)
Record Number: 199610151 / Last updated on: 1996-03-01
Category: PUBLICATION
Original language: en
Available languages: en
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