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Designing magnets for three-dimensional plasma confinement is a key task for advancing the stellarator as a fusion reactor concept. Stellarator magnets must produce an accurate field while leaving adequate room for other components and…

Plasma Physics · Physics 2025-03-12 K. C. Hammond

We have developed a fast method to design perpendicular permanent magnets for simplifying stellarator coils based on existing codes. Coil complexity is one of the main challenges for stellarators. To date, only electromagnetic coils have…

Plasma Physics · Physics 2020-05-13 Caoxiang Zhu , Michael Zarnstorff , David Gates , Arthur Brooks

In this work, we utilize new coil objectives for stellarator optimization with autodifferentiation, including pointwise and net coil-coil forces and torques. We use these methods to perform the first large-scale optimization of planar…

A challenge in the design of stellarators for confining plasma at conditions relevant to fusion energy generation is designing a feasible set of magnetic field coils which can create the necessary confining field. One active direction of…

Plasma Physics · Physics 2025-02-12 Ryan Wu , Thomas Kruger , Charles Swanson

A neoclassically optimized compact stellarator with simple coils has been designed. The magnetic field of the new stellarator is generated by only four planar coils including two interlocking coils of elliptical shape and two circular…

Plasma Physics · Physics 2024-06-19 Guodong Yu , Zhichen Feng , Peiyou Jiang , Neil Pomphrey , Matt Landreman , GuoYong Fu

It is shown that the magnetic-field coils of a stellarator can, at least in principle, be substantially simplified by the use of permanent magnets. Such magnets cannot create toroidal magnetic flux but they can be used to shape the plasma…

Plasma Physics · Physics 2020-03-11 P. Helander , M. Drevlak , M. Zarnstorff , S. C. Cowley

We draw attention to an interesting possibility in the design and operation of stellarator fusion reactors, which has hitherto been considered unrealistic under burning-plasma conditions. Thanks to recent advances in stellarator…

Plasma Physics · Physics 2024-05-30 Per Helander , Alan G. Goodman , Craig D. Beidler , Michal Kuczyński , Håkan M. Smith

It was recently shown in [Wechsung et. al., Proc. Natl. Acad. Sci. USA, 2022] that there exist electromagnetic coils that generate magnetic fields which are excellent approximations to quasi-symmetric fields and have very good particle…

Plasma Physics · Physics 2022-09-28 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

Design and modeling of a stellarator fusion reactor is a multidisciplinary effort that requires a tight integration between simulation of highly nonlinear multi-physics and representation of non-planar complex geometries. The critical…

Plasma Physics · Physics 2023-11-23 Merle Backmeyer , Nicolo Riva , Mika Lyly , Alexandre Halbach , Valtteri Lahtinen

An optimized compact stellarator with four simple coils is obtained from direct optimization via coil shape. The new stellarator consists of two interlocking coils and two vertical field coils similar to those of the Columbia Non-neutral…

Plasma Physics · Physics 2022-06-01 Guodong Yu , Zhichen Feng , Peiyou jiang , Guoyong Fu

We are interested in the design of stellarators, devices for the production of controlled nuclear fusion reactions alternative to tokamaks. The confinement of the plasma is entirely achieved by a helical magnetic field created by the…

Optimization and Control · Mathematics 2021-12-10 Yannick Privat , Rémi Robin , Mario Sigalotti

Stellarators confine fusion plasmas using three-dimensional magnetic fields composed of nested toroidal magnetic surfaces. In generic stellarators, trapped particles can drift across these surfaces and degrade plasma confinement. Certain…

This study investigates a simplified stellarator configuration employing circular coils, in which rotational transform is generated by tilting the toroidal field (TF) coils. A pair of axisymmetric poloidal field (PF) coils is introduced to…

Plasma Physics · Physics 2026-04-09 Ashit Kumar Nath , Yasuhiro Suzuki

We present a new coil design paradigm for magnetic confinement in stellarators. Our approach directly optimizes coil shapes and coil currents to produce a vacuum quasi-symmetric magnetic field with a target rotational transform on the…

Plasma Physics · Physics 2022-03-17 Andrew Giuliani , Florian Wechsung , Antoine Cerfon , Georg Stadler , Matt Landreman

Hybrid magnetic shields with both active field generating components and high-permeability magnetic shielding are increasingly needed for a variety of technologies and experiments that require precision-controlled magnetic field…

Applied Physics · Physics 2021-06-04 M. Packer , P. J. Hobson , N. Holmes , J. Leggett , P. Glover , M. J. Brookes , R. Bowtell , T. M. Fromhold

Finding an easy-to-build coils set has been a critical issue for stellarator design for decades. Conventional approaches assume a toroidal "winding" surface. We'll investigate if the existence of winding surface unnecessarily constrains the…

Plasma Physics · Physics 2017-11-22 Caoxiang Zhu , Stuart R. Hudson , Yuntao Song , Yuanxi Wan

This paper describes a new and efficient method of defining an annular region of a curl-free magnetic field with specific physics and coil properties that can be used in stellarator design. Three statements define the importance: (1) Codes…

Plasma Physics · Physics 2020-01-08 Allen H. Boozer

Single-stage optimization, also known as combined plasma-coil algorithms or direct coil optimization, has recently emerged as a possible method to expedite the design of stellarator devices by including, in a single step, confinement,…

Plasma Physics · Physics 2024-06-13 R. Jorge , A. Giuliani , J. Loizu

A central issue in the design of tokamaks or stellarators is the coils that produce the external magnetic fields. The freedom that remains unstudied in the design of coils is enormous. This freedom could be quickly studied computationally…

Plasma Physics · Physics 2024-10-15 Allen H Boozer

In stellarators, achieving effective divertor configurations is challenging due to the three-dimensional nature of the magnetic fields, which often leads to chaotic field lines and fuzzy separatrices. This work presents a novel approach to…

Plasma Physics · Physics 2025-11-03 Todd Elder , Matt Landremann , Christoper B. Smiet , Robert Davies
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