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Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application…

Plasma Physics · Physics 2023-06-23 Alan A. Kaptanoglu , Gabriel P. Langlois , Matt Landreman

Stellarator optimization often takes a two-stage approach, where in the first stage the boundary is varied in order to optimize for some physics metrics, while in the second stage the boundary is kept fixed and coils are sought to generate…

Advanced stellarators are typically optimized in two stages. The plasma equilibrium is optimized first, followed by the design of coils/permanent magnets. However, the coils/permanent magnets in the second stage may become too complex to…

Plasma Physics · Physics 2024-05-01 Guodong Yu , Ke Liu , Tianyi Qian , Yidong Xie , Xianyi Nie , Caoxiang Zhu

We present a method for stellarator coil design via gradient-based optimization of the coil-winding surface. The REGCOIL (Landreman 2017 Nucl. Fusion 57 046003) approach is used to obtain the coil shapes on the winding surface using a…

Plasma Physics · Physics 2018-07-04 E. J. Paul , M. Landreman , A. Bader , W. Dorland

A new paradigm for rapid stellarator configuration design has been recently demonstrated, in which the shapes of quasisymmetric or omnigenous flux surfaces are computed directly using an expansion in small distance from the magnetic axis.…

Plasma Physics · Physics 2021-03-08 Matt Landreman

We present a novel method for numerically finding quasi-isodynamic stellarator magnetic fields with excellent fast-particle confinement and extremely small neoclassical transport. The method works particularly well in configurations with…

Stellarators are generically small current and low plasma beta ($\beta= p/B^2\ll1$) devices. Often the construction of vacuum magnetic fields with good magnetic surfaces is the starting point for an equilibrium calculation. Although in…

Plasma Physics · Physics 2019-04-17 Wrick Sengupta , Harold Weitzner

This paper introduces a shape optimisation framework for achieving desired mutual inductances (MIs) among coils in 3D space. Utilising a wire modelling approach, the coils are discretised using B-spline curves, with control points (CPs)…

Mathematical Physics · Physics 2025-06-18 Toru Takahashi , Tatsuya Tokito , Yi Cui , Toshiro Matsumoto

Finding feasible coils for stellarator fusion devices is a critical challenge of realizing this concept for future power plants. Current design efforts struggle to navigate the highly nonconvex optimization landscape, spend considerable…

Plasma Physics · Physics 2025-09-10 Pedro F. Gil , Weiping Li , Julianne Stratton , Alan A. Kaptanoglu , Eve V. Stenson

Inspired by the design for the simple Columbia Non-neutral Torus (CNT) proposed by Pedersen and Boozer (Phys. Rev. Lett. 88 205002(2002)), and later revisited by Yu et al. (J. Plasma Phys. 88 905880306 (2022)), this work explores…

Plasma Physics · Physics 2026-05-06 Kassandra Salguero-Martínez , J. Julio E. Herrera-Velázquez

In this paper, single-stage stellarator optimization is combined with stochastic coil optimization to improve the robustness of the stellarator as compared to deterministic methods. The plasma boundary, solved with an MHD solver in…

Plasma Physics · Physics 2026-03-13 Pedro F. Gil , Jason Smoniewski , Rogerio Jorge , Paul Huslage , Eve V. Stenson

A method is given to rapidly compute quasisymmetric stellarator magnetic fields for plasma confinement, without the need to call a three-dimensional magnetohydrodynamic equilibrium code inside an optimization iteration. The method is based…

Plasma Physics · Physics 2019-12-04 Matt Landreman , Wrick Sengupta

The near-axis theory for quasi-isodynamic stellarator equilibria is reformulated in terms of geometric inputs, to allow greater control of the ``direct construction'' of quasi-isodynamic configurations, and to facilitate understanding of…

Plasma Physics · Physics 2025-08-19 G. G. Plunk , E. Rodríguez

The design of a stellarator with acceptable confinement properties requires optimization of the magnetic field in the non-convex, high-dimensional spaces describing their geometry. Another major challenge facing the stellarator program is…

Plasma Physics · Physics 2020-05-18 Elizabeth Paul

Stellarators are fusion energy devices that confine a plasma using non-axisymmetric magnetic fields. Complex coils with tight construction tolerances are needed to create such fields. To simplify such coils, we use a method here to create…

Plasma Physics · Physics 2025-05-13 J. Biu , R. Jorge

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

A method is demonstrated to rapidly calculate the shapes and properties of quasi-axisymmetric and quasi-helically symmetric stellarators. In this approach, optimization is applied to the equations of magnetohydrodynamic equilibrium and…

Plasma Physics · Physics 2023-01-04 Matt Landreman

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

We introduce a novel approach for the simultaneous optimization of plasma physics and coil engineering objectives using fixed-boundary equilibria that is computationally efficient and applicable to a broad range of vacuum and finite plasma…

Plasma Physics · Physics 2023-06-21 R. Jorge , A. Goodman , M. Landreman , J. Rodrigues , F. Wechsung

In fusion reactor design, steels under consideration for the blanket are ferromagnetic, so the steel's effect on the plasma physics must be examined. For efficient calculation of these fields, we can exploit the fact that the magnetic…

Plasma Physics · Physics 2026-01-13 Matt Landreman , Humberto Torreblanca , Antoine Cerfon