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Title: New method to design stellarator coils without the winding surface

Abstract

Finding an easy-to-build coils set has been a critical issue for stellarator design for decades. Conventional approaches assume a toroidal 'winding' surface, but a poorly chosen winding surface can unnecessarily constrain the coil optimization algorithm, This article presents a new method to design coils for stellarators. Each discrete coil is represented as an arbitrary, closed, one-dimensional curve embedded in three-dimensional space. A target function to be minimized that includes both physical requirements and engineering constraints is constructed. The derivatives of the target function with respect to the parameters describing the coil geometries and currents are calculated analytically. A numerical code, named flexible optimized coils using space curves (FOCUS), has been developed. Furthermore, applications to a simple stellarator configuration, W7-X and LHD vacuum fields are presented.

Authors:
ORCiD logo [1];  [2];  [3];  [1]
+ Show Author Affiliations
  1. Univ. of Science and Technology of China, Anhui (People's Republic of China)
  2. Princeton Univ., Princeton, NJ (United States)
  3. Chinese Academy of Sciences, Anhui (People's Republic of China)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1436766
Grant/Contract Number:  
AC02-09CH11466; 201506340040
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 58; Journal Issue: 1; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; stellarator; coil design; nonlinear optimization

Citation Formats

Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, and Wan, Yuanxi. New method to design stellarator coils without the winding surface. United States: N. p., 2017. Web. doi:10.1088/1741-4326/aa8e0a.
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Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, & Wan, Yuanxi. New method to design stellarator coils without the winding surface. United States. https://doi.org/10.1088/1741-4326/aa8e0a
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Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, and Wan, Yuanxi. Mon . "New method to design stellarator coils without the winding surface". United States. https://doi.org/10.1088/1741-4326/aa8e0a. https://www.osti.gov/servlets/purl/1436766.
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@article{osti_1436766,
title = {New method to design stellarator coils without the winding surface},
author = {Zhu, Caoxiang and Hudson, Stuart R. and Song, Yuntao and Wan, Yuanxi},
abstractNote = {Finding an easy-to-build coils set has been a critical issue for stellarator design for decades. Conventional approaches assume a toroidal 'winding' surface, but a poorly chosen winding surface can unnecessarily constrain the coil optimization algorithm, This article presents a new method to design coils for stellarators. Each discrete coil is represented as an arbitrary, closed, one-dimensional curve embedded in three-dimensional space. A target function to be minimized that includes both physical requirements and engineering constraints is constructed. The derivatives of the target function with respect to the parameters describing the coil geometries and currents are calculated analytically. A numerical code, named flexible optimized coils using space curves (FOCUS), has been developed. Furthermore, applications to a simple stellarator configuration, W7-X and LHD vacuum fields are presented.},
doi = {10.1088/1741-4326/aa8e0a},
journal = {Nuclear Fusion},
number = 1,
volume = 58,
place = {United States},
year = {Mon Nov 06 00:00:00 EST 2017},
month = {Mon Nov 06 00:00:00 EST 2017}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1088/1741-4326/aa8e0a
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Citation Metrics:
Cited by: 53 works
Citation information provided by
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Figures / Tables:

Figure 1 Figure 1: Coils for the rotating ellipse configuration. (a) The initial 16 circular coils with equal toroidal intervals. (b) The optimized coils with only physical constraints. Red surfaces represents the target plasma boundary.
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Works referenced in this record:

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    Works referencing / citing this record:

    Non-planar elasticae as optimal curves for the magnetic axis of stellarators
    journal, September 2018

    • Pfefferlé, D.; Gunderson, L.; Hudson, S. R.
    • Physics of Plasmas, Vol. 25, Issue 9
    • DOI: 10.1063/1.5040894

    Initial Exploration of High-Field Pulsed Stellarator Approach to Ignition Experiments
    journal, October 2018

    Direct construction of optimized stellarator shapes. Part 2. Numerical quasisymmetric solutions
    journal, January 2019

    • Landreman, Matt; Sengupta, Wrick; Plunk, Gabriel G.
    • Journal of Plasma Physics, Vol. 85, Issue 1
    • DOI: 10.1017/s0022377818001344

    Non-planar elasticae as optimal curves for the magnetic axis of stellarators
    text, January 2018

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      Figures / Tables found in this record:

      Figure 1 (p. 14)figure
      Figure 2 (p. 15)figure
      Figure 3 (p. 15)figure
      Figure 4 (p. 17)figure
      Figure 5 (p. 18)figure
      Figure 6 (p. 18)figure
      Figure 7 (p. 20)figure
      Figure 8 (p. 21)figure
      Figure 9 (p. 22)figure
      Figure 10 (p. 23)figure
      Figure 11 (p. 24)figure
      Figure 12 (p. 25)figure
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