Construction of quasisymmetric stellarators using a direct coordinate approach
Abstract
In this work, optimized stellarator configurations and their analytical properties are obtained using a near-axis expansion approach. Such configurations are associated with good confinement as the guiding center particle trajectories and neoclassical transport are isomorphic to those in a tokamak. This makes them appealing as fusion reactor candidates. Using a direct coordinate approach, where the magnetic field and flux surface functions are found explicitly in terms of the position vector at successive orders in the distance to the axis, the set of ordinary differential equations for first and second order quasisymmetry is derived. Examples of quasi-axisymmetric shapes are constructed using a pseudospectral numerical method. Finally, the direct coordinate approach is used to independently verify two hypotheses commonly associated with quasisymmetric magnetic fields, namely that the number of equations exceeds the number of parameters at third order in the expansion and that the near-axis expansion does not prohibit exact quasisymmetry from being achieved on a single flux surface.
- Authors:
-
[1];
[2];
[1]
- Univ. of Maryland, College Park, MD (United States)
- New York Univ. (NYU), NY (United States)
- Publication Date:
- Research Org.:
- New York Univ. (NYU), NY (United States)
- Sponsoring Org.:
- Simons Foundation; USDOE Office of Science (SC)
- OSTI Identifier:
- 1800641
- Alternate Identifier(s):
- OSTI ID: 1633695
- Grant/Contract Number:
- FG02-86ER53223; 560651; DEFG02-86ER53223
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 7; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; physics; stellarator; neoclassical transport; plasma confinement; quasisymmetry; fusion reactor design
Citation Formats
Jorge, R., Sengupta, W., and Landreman, M. Construction of quasisymmetric stellarators using a direct coordinate approach. United States: N. p., 2020.
Web. doi:10.1088/1741-4326/ab90ca.
Jorge, R., Sengupta, W., & Landreman, M. Construction of quasisymmetric stellarators using a direct coordinate approach. United States. https://doi.org/10.1088/1741-4326/ab90ca
Jorge, R., Sengupta, W., and Landreman, M. Wed .
"Construction of quasisymmetric stellarators using a direct coordinate approach". United States. https://doi.org/10.1088/1741-4326/ab90ca. https://www.osti.gov/servlets/purl/1800641.
@article{osti_1800641,
title = {Construction of quasisymmetric stellarators using a direct coordinate approach},
author = {Jorge, R. and Sengupta, W. and Landreman, M.},
abstractNote = {In this work, optimized stellarator configurations and their analytical properties are obtained using a near-axis expansion approach. Such configurations are associated with good confinement as the guiding center particle trajectories and neoclassical transport are isomorphic to those in a tokamak. This makes them appealing as fusion reactor candidates. Using a direct coordinate approach, where the magnetic field and flux surface functions are found explicitly in terms of the position vector at successive orders in the distance to the axis, the set of ordinary differential equations for first and second order quasisymmetry is derived. Examples of quasi-axisymmetric shapes are constructed using a pseudospectral numerical method. Finally, the direct coordinate approach is used to independently verify two hypotheses commonly associated with quasisymmetric magnetic fields, namely that the number of equations exceeds the number of parameters at third order in the expansion and that the near-axis expansion does not prohibit exact quasisymmetry from being achieved on a single flux surface.},
doi = {10.1088/1741-4326/ab90ca},
journal = {Nuclear Fusion},
number = 7,
volume = 60,
place = {United States},
year = {Wed Jun 17 00:00:00 EDT 2020},
month = {Wed Jun 17 00:00:00 EDT 2020}
}
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