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Title: A simplified analytic form for generation of axisymmetric plasma boundaries

An improved method has been formulated for generating analytic boundary shapes as input for axisymmetric MHD equilibria. This method uses the family of superellipses as the basis function, as previously introduced. The improvements are a simplified notation, reduction of the number of simultaneous nonlinear equations to be solved, and the realization that not all combinations of input parameters admit a solution to the nonlinear constraint equations. The method tests for the existence of a self-consistent solution and, when no solution exists, it uses a deterministic method to find a nearby solution. As a result, examples of generation of boundaries, including tests with an equilibrium solver, are given.
Authors:
 [1]
  1. General Atomics, San Diego, CA (United States)
Publication Date:
Grant/Contract Number:
FC02-04ER54698
Type:
Accepted Manuscript
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Volume: 59; Journal Issue: 4; Journal ID: ISSN 0741-3335
Publisher:
IOP Science
Research Org:
General Atomics, San Diego, CA (United States)
Sponsoring Org:
USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MHD equilibria; boundary shape; X points
OSTI Identifier:
1356347
Alternate Identifier(s):
OSTI ID: 1374816

Luce, Timothy C. A simplified analytic form for generation of axisymmetric plasma boundaries. United States: N. p., Web. doi:10.1088/1361-6587/aa5393.
Luce, Timothy C. A simplified analytic form for generation of axisymmetric plasma boundaries. United States. doi:10.1088/1361-6587/aa5393.
Luce, Timothy C. 2017. "A simplified analytic form for generation of axisymmetric plasma boundaries". United States. doi:10.1088/1361-6587/aa5393. https://www.osti.gov/servlets/purl/1356347.
@article{osti_1356347,
title = {A simplified analytic form for generation of axisymmetric plasma boundaries},
author = {Luce, Timothy C.},
abstractNote = {An improved method has been formulated for generating analytic boundary shapes as input for axisymmetric MHD equilibria. This method uses the family of superellipses as the basis function, as previously introduced. The improvements are a simplified notation, reduction of the number of simultaneous nonlinear equations to be solved, and the realization that not all combinations of input parameters admit a solution to the nonlinear constraint equations. The method tests for the existence of a self-consistent solution and, when no solution exists, it uses a deterministic method to find a nearby solution. As a result, examples of generation of boundaries, including tests with an equilibrium solver, are given.},
doi = {10.1088/1361-6587/aa5393},
journal = {Plasma Physics and Controlled Fusion},
number = 4,
volume = 59,
place = {United States},
year = {2017},
month = {2}
}