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Title: Helical axis stellarator equilibrium model

Abstract

An asymptotic model is developed to study magnetohydrodynamic equilibria in toroidal systems with a helical magnetic axis. Using a characteristic coordinate system based on the vacuum field lines, the equilibrium problem is reduced to a two-dimensional generalized partial differential equation of the Grad--Shafranov type. A stellarator-expansion free-boundary equilibrium code is modified to solve the helical-axis equations. The expansion model is used to predict the equilibrium properties of toroidal asperator devices. Numerically determined flux surfaces, magnetic well, transform, and shear are presented. The equilibria show a toroidal Shafranov shift.

Authors:
;
Publication Date:
Research Org.:
Plasma Physics Laboratory and Program in Applied Mathematics, Princeton University, Princeton, New Jersey 08544
OSTI Identifier:
5306464
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Journal Article
Journal Name:
Phys. Fluids; (United States)
Additional Journal Information:
Journal Volume: 28:10
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; EQUILIBRIUM; MAGNETOHYDRODYNAMICS; HELICITY; MAGNETIC FIELDS; MAGNETIC SURFACES; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA SIMULATION; SHEAR; STELLARATORS; TOROIDAL CONFIGURATION; TWO-DIMENSIONAL CALCULATIONS; ANNULAR SPACE; CLOSED PLASMA DEVICES; CONFIGURATION; DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID MECHANICS; HYDRODYNAMICS; MAGNETIC FIELD CONFIGURATIONS; MECHANICS; PARTICLE PROPERTIES; SIMULATION; SPACE; THERMONUCLEAR DEVICES; 700101* - Fusion Energy- Plasma Research- Confinement, Heating, & Production

Citation Formats

Koniges, A E, and Johnson, J L. Helical axis stellarator equilibrium model. United States: N. p., 1985. Web. doi:10.1063/1.865354.
Koniges, A E, & Johnson, J L. Helical axis stellarator equilibrium model. United States. https://doi.org/10.1063/1.865354
Koniges, A E, and Johnson, J L. Tue . "Helical axis stellarator equilibrium model". United States. https://doi.org/10.1063/1.865354.
@article{osti_5306464,
title = {Helical axis stellarator equilibrium model},
author = {Koniges, A E and Johnson, J L},
abstractNote = {An asymptotic model is developed to study magnetohydrodynamic equilibria in toroidal systems with a helical magnetic axis. Using a characteristic coordinate system based on the vacuum field lines, the equilibrium problem is reduced to a two-dimensional generalized partial differential equation of the Grad--Shafranov type. A stellarator-expansion free-boundary equilibrium code is modified to solve the helical-axis equations. The expansion model is used to predict the equilibrium properties of toroidal asperator devices. Numerically determined flux surfaces, magnetic well, transform, and shear are presented. The equilibria show a toroidal Shafranov shift.},
doi = {10.1063/1.865354},
url = {https://www.osti.gov/biblio/5306464}, journal = {Phys. Fluids; (United States)},
number = ,
volume = 28:10,
place = {United States},
year = {1985},
month = {10}
}