Publication: Optimized finite-build stellarator coils using automatic differentiation
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Optimized finite-build stellarator coils using automatic differentiation

- Article in a journal -
 

Area
Nuclear Fusion

Author(s)
N. McGreivy , S. R. Hudson , C. Zhu

Published in
Nuclear Fusion

Year
2021

Publisher
IOP Publishing

Abstract
A new stellarator coil design code is introduced that optimizes the position and winding pack orientation of finite-build coils. The new code, called flexible optimized curves in space using automatic differentiation (ad) and finite build (FOCUSADD), performs gradient-based optimization in a high-dimensional, non-convex space. The derivatives with respect to parameters of finite-build coils are easily and efficiently computed using ad. FOCUSADD parametrizes coil positions in free space using a Fourier series and uses a multi-filament approximation to the coil winding pack. The orientation of the winding pack is parametrized with a Fourier series and can be optimized as well. Optimized finite-build coils for a Wendelstein 7-X (W7-X)-like stellarator are found, and compared with filamentary coil results. The final positions of optimized finite-build W7-X-like coils are shifted, on average, by approximately 2.5 mm relative to optimized filamentary coils. These results suggest that finite-build effects should be accounted for in the optimization of stellarators with low coil tolerances.

AD Tools
JAX

BibTeX
@ARTICLE{
         McGreivy2021Ofb,
       doi = "10.1088/1741-4326/abcd76",
       url = "https://doi.org/10.1088/1741-4326/abcd76",
       year = "2021",
       month = "jan",
       publisher = "{IOP} Publishing",
       volume = "61",
       number = "2",
       pages = "026020",
       author = "N. McGreivy and S. R. Hudson and C. Zhu",
       title = "Optimized finite-build stellarator coils using automatic differentiation",
       journal = "Nuclear Fusion",
       abstract = "",
       ad_area = "Nuclear Fusion",
       ad_tools = "JAX"
}


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