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The design of fusion devices is typically based on computationally expensive simulations. This can be alleviated using high aspect ratio models that employ a reduced number of free parameters, especially in the case of stellarator…

Plasma Physics · Physics 2025-02-26 P. Curvo , D. R. Ferreira , R. Jorge

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

Stellarator optimization is a multi-objective, non-convex problem characterized by a complex objective landscape containing many local minima. The solution resulting from a single optimization is highly sensitive to factors such as the…

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

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

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

A new quasi-isodynamic stellarator configuration optimized for the confinement of energetic ions at low plasma $\beta$ is obtained. The numerical optimization is carried out using the STELLOPT suite of codes. New proxies to measure…

Plasma Physics · Physics 2023-08-15 E. Sánchez , J. L. Velasco , I. Calvo , S. Mulas

Recent developments in the design of magnetic confinement fusion devices have allowed the construction of exceptionally optimized stellarator configurations. The near-axis expansion in particular has proven to enable the construction of…

Plasma Physics · Physics 2024-04-16 P. A. Figueiredo , R. Jorge , J. Ferreira , P. Rodrigues

Most quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength $B$. At high aspect ratio, a faster approach is to…

Plasma Physics · Physics 2019-06-26 Matt Landreman

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

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

In this work, we provide an overview of various control strategies aimed at steering plasma toward desired configurations using an external magnetic field. From a modeling perspective, we focus on the Vlasov equation in a two-dimensional…

Numerical Analysis · Mathematics 2026-04-06 Federica Ferrarese

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

Several problems in magnetically confined fusion, such as the computation of exterior vacuum fields or the decomposition of the total magnetic field into separate contributions from the plasma and the external sources, are best formulated…

Numerical Analysis · Mathematics 2019-11-25 Dhairya Malhotra , Antoine J. Cerfon , Michael O'Neil , Evan Toler

Optimized stellarator configurations and their analytical properties are obtained using a near-axis expansion approach. Such configurations are associated with good confinement as the guiding center particle trajectories and neoclassical…

Plasma Physics · Physics 2020-08-26 R. Jorge , W. Sengupta , M. Landreman

A method to create a highly homogeneous magnetic field by applying topology optimized, additively manufactured shimming elements is investigated. The topology optimization algorithm can calculate a suitable permanent and nonlinear soft…

Applied Physics · Physics 2018-04-17 C. Huber , M. Goertler , F. Bruckner , C. Abert , I. Teliban , M. Groenefeld , D. Suess

One of the key issues in magnetic refrigeration is generating the magnetic field that the magnetocaloric material must be subjected to. The magnet constitutes a major part of the expense of a complete magnetic refrigeration system and a…

Instrumentation and Detectors · Physics 2014-09-30 R. Bjørk , C. R. H. Bahl , A. Smith , N. Pryds

Confining energetic ions such as alpha particles is a prime concern in the design of stellarators. However, directly measuring alpha confinement through numerical simulation of guiding-center trajectories has been considered to be too…

Plasma Physics · Physics 2025-11-26 David Bindel , Matt Landreman , Misha Padidar

Homogeneous magnetic fields can be generated through the strategic arrangement of permanent magnets. The Halbach array serves as a prominent example of an effective design following this principle. However, it is a two-dimensional approach…

Materials Science · Physics 2025-06-02 Ingo Rehberg , Peter Blümler

With the advances in the optimization of magnetic field equilibria, stellarators have become a serious alternative to the tokamak, bringing this concept to the forefront of the pursuit of fusion energy. In order to be successful in…

Plasma Physics · Physics 2024-03-05 M. Madeira , R. Jorge