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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…

The new class of compact quasi-axisymmetric stellarators with a wide range of field periods offers the unique potential to combine the advantages of the two leading magnetic confinement fusion devices, tokamaks and stellarators. Here we…

Plasma Physics · Physics 2024-09-04 Tobias M. Schuett , Sophia A. Henneberg

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

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

Quasisymmetry and omnigeneity of an equilibrium magnetic field are two distinct properties proposed to ensure radial localization of collisionless trapped particles in any stellarator. These constraints are incompletely explored, but have…

Plasma Physics · Physics 2018-03-14 Wrick Sengupta , Harold Weitzner

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

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…

In this study, we explore the influence of the helicity of the magnetic axis-defined as the self-linking number of the curve-on the quality of quasi-isodynamic stellarator-symmetric configurations constructed using the near-axis expansion…

Plasma Physics · Physics 2023-08-30 Katia Camacho Mata , Gabriel G. Plunk

The usage of permanent magnets to shape the confining magnetic field of a stellarator has the potential to reduce or eliminate the need for non-planar coils. As a proof-of-concept for this idea, we have developed a procedure for designing…

Plasma Physics · Physics 2022-11-17 K. C. Hammond , C. Zhu , K. Corrigan , D. A. Gates , R. Lown , R. Mercurio , T. M. Qian , M. C. Zarnstorff

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

Quasisymmetry (QS) is a property of special magnetic configurations, where the magnetic field strength, but not necessarily the full vector field, has a direction of symmetry. QS leads to reduced neoclassical transport and thus can be a…

Plasma Physics · Physics 2025-06-10 Lanke Fu , Eduardo Rodriguez , Rory Conlin , Amitava Bhattacharjee

We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also `nearly'…

Analysis of PDEs · Mathematics 2021-02-17 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg

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

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

Quasisymmetric stellarators are a type of optimized stellarators for which flows are undamped to lowest order in an expansion in the normalized Larmor radius. However, perfect quasisymmetry is impossible. Since large flows may be desirable…

Plasma Physics · Physics 2017-03-13 Ivan Calvo , Felix I. Parra , J. L. Velasco , J. Arturo Alonso

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

Maximising particle and energy confinement is crucial for achieving the sustained burning plasma conditions necessary to realise fusion energy. For stellarator reactors, one proposed strategy for avoiding destructive instabilities is to…

Plasma Physics · Physics 2025-12-30 Adelle M. Wright , Benjamin J. Faber

Good magnetic surfaces, as opposed to magnetic islands and chaotic field lines, are generally desirable for stellarators. In previous work, M. Landreman et al. [Phys. of Plasmas 28, 092505 (2021)] showed that equilibria computed by the…

Plasma Physics · Physics 2022-04-26 A. Baillod , J. Loizu , J. P. Graves , M. Landreman

We propose a new method to compute magnetic surfaces that are parametrized in Boozer coordinates for vacuum magnetic fields. We also propose a measure for quasi-symmetry on the computed surfaces and use it to design coils that generate a…

Plasma Physics · Physics 2022-08-17 Andrew Giuliani , Florian Wechsung , Matt Landreman , Georg Stadler , Antoine Cerfon

It is demonstrated that finite-pressure, approximately quasi-axisymmetric stellarator equilibria can be directly constructed (without numerical optimization) via perturbations of given axisymmetric equilibria. The size of such perturbations…

Plasma Physics · Physics 2022-06-22 G. G. Plunk