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Title: Magnetic surfaces in an axisymmetric torus

Abstract

A method is developed for specifying the boundary equilibrium magnetic surface in an axially symmetric torus by using the absolute values of the magnetic field B = B{sub s}({theta}) and the gradient of the poloidal flux vertical bar vertical bar {nabla}{Psi} vertical bar = vertical bar {nabla}{Psi} vertical bar {sub s}({theta}) in a special flux coordinate system. By setting two surface constants (e.g., the safety factor q and dp/d{Psi}) and matching the absolute values of the magnetic field and the flux gradient on a closed magnetic surface, it is possible to find all equilibrium magnetic functions (including n {center_dot} {nabla} ln B and the local shear s) and all constants (including the toroidal current J and the shear d{mu}/d{Psi}) on this surface. Such a non-traditional formulation of the boundary conditions in solving the stability problem in an axisymmetric torus allows one to impose intentional conditions on plasma confinement and MHD stability at the periphery of the system.

Authors:
 [1]
  1. National Research Centre Kurchatov Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22156267
Resource Type:
Journal Article
Resource Relation:
Journal Name: Plasma Physics Reports; Journal Volume: 39; Journal Issue: 4; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; BOUNDARY CONDITIONS; CURRENTS; MAGNETIC FIELDS; MAGNETIC SURFACES; MAGNETOHYDRODYNAMICS; PLASMA CONFINEMENT; SAFETY; SHEAR; SURFACES; TOROIDAL CONFIGURATION

Citation Formats

Skovoroda, A. A., E-mail: skovorod@nfi.kiae.ru. Magnetic surfaces in an axisymmetric torus. United States: N. p., 2013. Web. doi:10.1134/S1063780X13030082.
Skovoroda, A. A., E-mail: skovorod@nfi.kiae.ru. Magnetic surfaces in an axisymmetric torus. United States. doi:10.1134/S1063780X13030082.
Skovoroda, A. A., E-mail: skovorod@nfi.kiae.ru. 2013. "Magnetic surfaces in an axisymmetric torus". United States. doi:10.1134/S1063780X13030082.
@article{osti_22156267,
title = {Magnetic surfaces in an axisymmetric torus},
author = {Skovoroda, A. A., E-mail: skovorod@nfi.kiae.ru},
abstractNote = {A method is developed for specifying the boundary equilibrium magnetic surface in an axially symmetric torus by using the absolute values of the magnetic field B = B{sub s}({theta}) and the gradient of the poloidal flux vertical bar vertical bar {nabla}{Psi} vertical bar = vertical bar {nabla}{Psi} vertical bar {sub s}({theta}) in a special flux coordinate system. By setting two surface constants (e.g., the safety factor q and dp/d{Psi}) and matching the absolute values of the magnetic field and the flux gradient on a closed magnetic surface, it is possible to find all equilibrium magnetic functions (including n {center_dot} {nabla} ln B and the local shear s) and all constants (including the toroidal current J and the shear d{mu}/d{Psi}) on this surface. Such a non-traditional formulation of the boundary conditions in solving the stability problem in an axisymmetric torus allows one to impose intentional conditions on plasma confinement and MHD stability at the periphery of the system.},
doi = {10.1134/S1063780X13030082},
journal = {Plasma Physics Reports},
number = 4,
volume = 39,
place = {United States},
year = 2013,
month = 4
}
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