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Title: Helical axis stellarator equilibrium model

Abstract

An asymptotic model is developed to study MHD 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 Asperators NP-3 and NP-4. Numerically determined flux surfaces, magnetic well, transform, and shear are presented. The equilibria show a toroidal Shafranov shift.

Authors:
;
Publication Date:
Research Org.:
Princeton Univ., NJ (USA). Plasma Physics Lab.
OSTI Identifier:
6117137
Report Number(s):
PPPL-2195
ON: DE85008716
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; STELLARATORS; MAGNETIC FIELD CONFIGURATIONS; EQUILIBRIUM PLASMA; HELICAL CONFIGURATION; MAGNETIC FLUX; MATHEMATICAL MODELS; ROTATIONAL TRANSFORM; SHEAR; CLOSED PLASMA DEVICES; CONFIGURATION; PLASMA; THERMONUCLEAR DEVICES; 700202* - Fusion Power Plant Technology- Magnet Coils & Fields

Citation Formats

Koniges, A E, and Johnson, J L. Helical axis stellarator equilibrium model. United States: N. p., 1985. Web. doi:10.2172/6117137.
Koniges, A E, & Johnson, J L. Helical axis stellarator equilibrium model. United States. https://doi.org/10.2172/6117137
Koniges, A E, and Johnson, J L. Fri . "Helical axis stellarator equilibrium model". United States. https://doi.org/10.2172/6117137. https://www.osti.gov/servlets/purl/6117137.
@article{osti_6117137,
title = {Helical axis stellarator equilibrium model},
author = {Koniges, A E and Johnson, J L},
abstractNote = {An asymptotic model is developed to study MHD 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 Asperators NP-3 and NP-4. Numerically determined flux surfaces, magnetic well, transform, and shear are presented. The equilibria show a toroidal Shafranov shift.},
doi = {10.2172/6117137},
url = {https://www.osti.gov/biblio/6117137}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1985},
month = {2}
}