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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

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

Some stellarators tend to benefit from favourable average magnetic curvature for trapped particles when the plasma pressure is sufficiently high. This so-called maximum-$J$-property has several positive implications such as good…

Plasma Physics · Physics 2023-11-27 E. Rodriguez , P. Helander , A. G. Goodman

The near-axis description of optimised stellarators, at second order in the expansion, provides important information about the field, both of physical and practical importance for stellarator optimisation. It however remains relatively…

Plasma Physics · Physics 2024-10-01 Eduardo Rodriguez , Gabriel G. Plunk , Rogerio Jorge

An automated algorithm to construct island divertors for stellarators is presented and is used to find divertors that meet heat flux requirements determined by engineering and material limits. The algorithm uses just two initial conditions:…

Plasma Physics · Physics 2026-03-02 Avigdor Veksler , Aaron Bader , Heinke Frerichs , Elizabeth Paul

Quasisymmetry (QS) is a hidden symmetry of the magnetic field strength, B, that enables effective confinement of charged particles in a fully three-dimensional (3D) toroidal plasma equilibrium. Such equilibria are typically modeled by the…

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

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

Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal MHD equilibrium and stability of…

Plasma Physics · Physics 2024-02-06 W. Sengupta , N. Nikulsin , R. Gaur , A. Bhattacharjee

A quasisymmetry is a special symmetry that enhances the ability of a magnetic field to trap charged particles. Quasisymmetric magnetic fields may allow the realization of next generation fusion reactors (stellarators) with superior…

Plasma Physics · Physics 2022-07-08 Naoki Sato

The design of turbulence optimized stellarators has so far relied on three-dimensional equilibrium codes such as VMEC in order to find the minimum of a given objective function. In this work, we propose a complimentary approach based on the…

Plasma Physics · Physics 2020-12-30 R. Jorge , M. Landreman

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

We apply the near-axis expansion method for quasisymmetric magnetic fields with anisotropic pressure (developed in the companion paper, Part I [E. Rodriguez, A. Bhattacharjee, arXiv:2008.04715 (2020)]) to construct numerical solutions to…

Plasma Physics · Physics 2021-02-24 Eduardo Rodriguez , Amitava Bhattacharjee

Stellarators are magnetic confinement devices under active development to deliver steady-state carbon-free fusion energy. Their design involves a high-dimensional, constrained optimization problem that requires expensive physics simulations…

Most present stellarator designs are produced by costly two-stage optimization: the first for an optimized equilibrium, and the second for a coil design reproducing its magnetic configuration. Few proxies for coil complexity and forces…

Plasma Physics · Physics 2025-06-11 Lanke Fu , Elizabeth J. Paul , Alan A. Kaptanoglu , Amitava Bhattacharjee

The magnetic field that supports tokamak and stellarator plasmas must be produced by coils well separated from the plasma. However the larger the separation, the more difficult it is to produce a given magnetic field in the plasma region,…

Plasma Physics · Physics 2016-03-08 Matt Landreman , Allen Boozer

The goal of this paper is to improve the performance of an electric motor by modifying the geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to smooth the rotation pattern of the rotor. A shape…

Optimization and Control · Mathematics 2018-10-26 Peter Gangl , Ulrich Langer , Antoine Laurain , Houcine Meftahi , Kevin Sturm

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel…

Plasma Physics · Physics 2015-05-01 David Pfefferlé , Jonathan P. Graves , Wilfred A. Cooper

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

A direct construction of equilibrium magnetic fields with toroidal topology at arbitrary order in the distance from the magnetic axis is carried out, yielding an analytical framework able to explore the landscape of possible magnetic flux…

Plasma Physics · Physics 2020-01-29 R. Jorge , W. Sengupta , M. Landreman