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Title: Designing stellarator coils by a modified Newton method using FOCUS

Abstract

To find the optimal coils for stellarators, nonlinear optimization algorithms are applied in existing coil design codes. However, none of these codes have used the information from the second-order derivatives. In this paper, we present a modified Newton method in the recently developed code FOCUS. The Hessian matrix is calculated with analytically derived equations. Its inverse is approximated by a modified Cholesky factorization and applied in the iterative scheme of a classical Newton method. Using this method, FOCUS is able to recover the W7-X modular coils starting from a simple initial guess. Results demonstrate significant advantages.

Authors:
ORCiD logo [1];  [2];  [3];  [1]
  1. Univ. of Science and Technology of China, Hefei (China)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Chinese Academy of Sciences (CAS), Hefei (China)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1430525
Grant/Contract Number:  
AC02-09CH11466; No. 201506340040
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Volume: 60; Journal Issue: 6; Journal ID: ISSN 0741-3335
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, and Wan, Yuanxi. Designing stellarator coils by a modified Newton method using FOCUS. United States: N. p., 2018. Web. doi:10.1088/1361-6587/aab8c2.
Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, & Wan, Yuanxi. Designing stellarator coils by a modified Newton method using FOCUS. United States. doi:10.1088/1361-6587/aab8c2.
Zhu, Caoxiang, Hudson, Stuart R., Song, Yuntao, and Wan, Yuanxi. Thu . "Designing stellarator coils by a modified Newton method using FOCUS". United States. doi:10.1088/1361-6587/aab8c2. https://www.osti.gov/servlets/purl/1430525.
@article{osti_1430525,
title = {Designing stellarator coils by a modified Newton method using FOCUS},
author = {Zhu, Caoxiang and Hudson, Stuart R. and Song, Yuntao and Wan, Yuanxi},
abstractNote = {To find the optimal coils for stellarators, nonlinear optimization algorithms are applied in existing coil design codes. However, none of these codes have used the information from the second-order derivatives. In this paper, we present a modified Newton method in the recently developed code FOCUS. The Hessian matrix is calculated with analytically derived equations. Its inverse is approximated by a modified Cholesky factorization and applied in the iterative scheme of a classical Newton method. Using this method, FOCUS is able to recover the W7-X modular coils starting from a simple initial guess. Results demonstrate significant advantages.},
doi = {10.1088/1361-6587/aab8c2},
journal = {Plasma Physics and Controlled Fusion},
issn = {0741-3335},
number = 6,
volume = 60,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 1 work
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