skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Analytic description of high poloidal beta equilibrium with a natural inboard poloidal field null

Abstract

Analytical high poloidal beta equilibria for toroidally axisymmetric plasmas with arbitrary aspect ratio and elongation are described. These equilibria that can describe a transition from nondivertor to divertor configuration are exact solutions of the Grad-Shafranov equation when the toroidal current density is quasiuniform. Generally, these are high poloidal beta equilibria, limited by the appearance of a natural inboard poloidal field null. Some of their properties, including the nonuniformity of the poloidal magnetic field in the poloidal direction, the safety factor profile and the magnetic shear profile near the separatrix, the parameter dependence of the poloidal beta {beta}{sub p} and {epsilon}{beta}{sub p}, as well as the toroidal beta {beta}{sub T} on the aspect ratio and the elongation of the magnetic surface, are discussed. Applications to experiments of the Tokamak Fusion Test Reactor (TFTR) [Sabbagh et al., Phys. Fluids B3, 2277 (1991)] are particularly analyzed.

Authors:
 [1]
  1. Southwestern Institute of Physics, Chengdu, Sichuan, 610041 (China)
Publication Date:
OSTI Identifier:
20782389
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 12; Journal Issue: 12; Other Information: DOI: 10.1063/1.2140227; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASPECT RATIO; AXIAL SYMMETRY; CHARGED-PARTICLE TRANSPORT; CURRENT DENSITY; DIVERTORS; EQUILIBRIUM; EXACT SOLUTIONS; GRAD-SHAFRANOV EQUATION; MAGNETIC FIELDS; MAGNETIC SURFACES; MAGNETOHYDRODYNAMICS; PLASMA CONFINEMENT; SHEAR; TFTR TOKAMAK

Citation Formats

Shi Bingren. Analytic description of high poloidal beta equilibrium with a natural inboard poloidal field null. United States: N. p., 2005. Web. doi:10.1063/1.2140227.
Shi Bingren. Analytic description of high poloidal beta equilibrium with a natural inboard poloidal field null. United States. doi:10.1063/1.2140227.
Shi Bingren. Thu . "Analytic description of high poloidal beta equilibrium with a natural inboard poloidal field null". United States. doi:10.1063/1.2140227.
@article{osti_20782389,
title = {Analytic description of high poloidal beta equilibrium with a natural inboard poloidal field null},
author = {Shi Bingren},
abstractNote = {Analytical high poloidal beta equilibria for toroidally axisymmetric plasmas with arbitrary aspect ratio and elongation are described. These equilibria that can describe a transition from nondivertor to divertor configuration are exact solutions of the Grad-Shafranov equation when the toroidal current density is quasiuniform. Generally, these are high poloidal beta equilibria, limited by the appearance of a natural inboard poloidal field null. Some of their properties, including the nonuniformity of the poloidal magnetic field in the poloidal direction, the safety factor profile and the magnetic shear profile near the separatrix, the parameter dependence of the poloidal beta {beta}{sub p} and {epsilon}{beta}{sub p}, as well as the toroidal beta {beta}{sub T} on the aspect ratio and the elongation of the magnetic surface, are discussed. Applications to experiments of the Tokamak Fusion Test Reactor (TFTR) [Sabbagh et al., Phys. Fluids B3, 2277 (1991)] are particularly analyzed.},
doi = {10.1063/1.2140227},
journal = {Physics of Plasmas},
number = 12,
volume = 12,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}