Differentiating the shape of stellarator coils with respect to the plasma boundary

Hudson, S. R.; Zhu, C.; Pfefferle, D.; Gunderson, L.

doi:10.1016/j.physleta.2018.07.016

Title: Differentiating the shape of stellarator coils with respect to the plasma boundary

Journal Article · Mon Aug 13 00:00:00 EDT 2018 · Physics Letters. A

DOI:https://doi.org/10.1016/j.physleta.2018.07.016· OSTI ID:1466008

Hudson, S. R. ^[1]; Zhu, C. ^[1]; Pfefferle, D. ^[2]; Gunderson, L. ^[1]

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
The Univ. of Western Australia, Crawley, WA (Australia)

The task of designing the geometry of a set of current-carrying coils that produce the magnetic field required to confine a given plasma equilibrium in stellarators is expressed as a minimization principle, namely that the coils minimize a suitably defined error expressed as a surface integral, which is recognized as the quadratic-flux. A penalty on the coil length is included to avoid pathological solutions. A simple expression for how the quadratic-flux and coil length vary as the coil geometry varies is derived, and an expression describing how this varies with variations in the surface geometry is derived. In conclusion, these expressions allow efficient coil-design algorithms to be implemented, and also enable efficient algorithms for varying the shape of the plasma surface in order to simplify the coil geometry, and a numerical illustration of this is given.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76CH03073

OSTI ID:: 1466008

Alternate ID(s):: OSTI ID: 1703431

Journal Information:: Physics Letters. A, Vol. 382, Issue 38; ISSN 0375-9601

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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Cited By (5)

Existence of ideal magnetofluid equilibria without continuous Euclidean symmetries Sato, Naoki Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab5001	journal	November 2019
Non-planar elasticae as optimal curves for the magnetic axis of stellarators Pfefferlé, D.; Gunderson, L.; Hudson, S. R. Physics of Plasmas, Vol. 25, Issue 9 https://doi.org/10.1063/1.5040894	journal	September 2018
Optimisation of stellarator equilibria with ROSE Drevlak, M.; Beidler, C. D.; Geiger, J. Nuclear Fusion, Vol. 59, Issue 1 https://doi.org/10.1088/1741-4326/aaed50	journal	November 2018
Identification of important error fields in stellarators using the Hessian matrix method Zhu, Caoxiang; Gates, David A.; Hudson, Stuart R. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab3a7c	journal	September 2019
Non-planar elasticae as optimal curves for the magnetic axis of stellarators Pfefferlé, David; Gunderson, Lee; Hudson, Stuart R. arXiv https://doi.org/10.48550/arxiv.1805.02221	text	January 2018

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