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Title: Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction

Abstract

The majority of quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength B. At high aspect ratio, a faster approach is to directly construct the plasma shape from the equations of quasisymmetry near the magnetic axis derived by Garren and Boozer [Phys Fluids B 3, 2805 (1991)]. Here we demonstrate that the core shape and rotational transform of many optimization-based configurations can be accurately described by this direct-construction approach. This consistency supports use of the near-axis construction as an accurate analytical model for modern stellarator configurations.

Authors:
ORCiD logo [1]
  1. Univ. of Maryland, College Park, MD (United States)
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); Simons Foundation
OSTI Identifier:
1597702
Grant/Contract Number:  
FG02-93ER54197
Resource Type:
Accepted Manuscript
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Volume: 61; Journal Issue: 7; Journal ID: ISSN 0741-3335
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Landreman, Matt. Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction. United States: N. p., 2019. Web. doi:10.1088/1361-6587/ab19f6.
Landreman, Matt. Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction. United States. https://doi.org/10.1088/1361-6587/ab19f6
Landreman, Matt. Thu . "Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction". United States. https://doi.org/10.1088/1361-6587/ab19f6. https://www.osti.gov/servlets/purl/1597702.
@article{osti_1597702,
title = {Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction},
author = {Landreman, Matt},
abstractNote = {The majority of quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength B. At high aspect ratio, a faster approach is to directly construct the plasma shape from the equations of quasisymmetry near the magnetic axis derived by Garren and Boozer [Phys Fluids B 3, 2805 (1991)]. Here we demonstrate that the core shape and rotational transform of many optimization-based configurations can be accurately described by this direct-construction approach. This consistency supports use of the near-axis construction as an accurate analytical model for modern stellarator configurations.},
doi = {10.1088/1361-6587/ab19f6},
journal = {Plasma Physics and Controlled Fusion},
number = 7,
volume = 61,
place = {United States},
year = {Thu May 23 00:00:00 EDT 2019},
month = {Thu May 23 00:00:00 EDT 2019}
}

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Works referencing / citing this record:

Constructing stellarators with quasisymmetry to high order
journal, November 2019


Near-axis expansion of stellarator equilibrium at arbitrary order in the distance to the axis
journal, January 2020


Magnetic well and Mercier stability of stellarators near the magnetic axis
journal, October 2020


Figures of merit for stellarators near the magnetic axis
journal, February 2021


Constructing stellarators with quasisymmetry to high order
text, January 2019