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Abstract

The analytical theory and the computational methods available for determination of MHD equilibrium characteristics from magnetic measurements on axisymmetric systems are reviewed and developed. Following and extending L.E. Zakharov's and V.D. Shafranov's work we provide an inventory of useful integral relations, including the contributions due to pressure anisotropy and plasma rotation. Effective methods to evaluate the required integrals from imperfect measurements are considered. Published approaches are evaluated, and a novel fast algorithm proposed for problems in conjunction with full equilibrium analysis of the magnetic diagnostics. Instead of the full equilibrium analysis several more limited problems are often considered, for which faster methods are available. Analytical theory provides approximations suitable for the rapid estimation of characteristic parameters, related to plasma current, position, shape of cross-section, pressure and internal inductance. Very efficient algorithms may be obtained when this theory is employed in conjunction with the method of function parametrization. These algorithms are well suited to real time control of the plasma. Appendices present a discussion of the boundary conditions for the MHD equilibrium problem, a compendium of analytical solutions to the homogeneous equilibrium equation, and a re-examination of the possibility of determining the current distribution from knowledge of only the shape of the flux surfaces.

Additional information

Authors: BRAAMS B J MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, GARCHING BEI MUENCHEN (GERMANY), MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, GARCHING BEI MUENCHEN (GERMANY)
Bibliographic Reference: WRITE TO MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, 8046 GARCHING BEI MUENCHEN (GERMANY), MENTIONING REPORT IPP 5/2, 1985
Record Number: 1989124079700 / Last updated on: 1987-01-01
Category: PUBLICATION
Available languages: en
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