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Tight tolerances have been a leading driver of cost in recent stellarator experiments, so improved definition and control of tolerances can have significant impact on progress in the field. Here we relate tolerances to the shape gradient…

Plasma Physics · Physics 2018-03-09 Matt Landreman , Elizabeth J Paul

Stellarator magnetic configurations need to be optimized in order to meet all the required properties of a fusion reactor. In this work, it is shown that a flat-mirror quasi-isodynamic configuration (i.e. a quasi-isodynamic configuration…

Plasma Physics · Physics 2023-11-08 J. L. Velasco , I. Calvo , E. Sánchez , F. I. Parra

Advanced stellarators require convoluted modular coils to produce a plasma with satisfactory performance. Moreover, the number of coils is sometimes high to decrease the modular ripple created by the coils. For reactor stellarators, these…

Plasma Physics · Physics 2025-01-09 V. Queral , V. Tribaldos , J. M. Reynolds , I. Fernandez

The design of any large stellarator requires a plan for the removal of the particles and heat that are exhausted across the plasma edge. This is called the divertor problem, for the particle exhaust must be diverted into pumping chambers.…

Plasma Physics · Physics 2022-12-20 Allen H Boozer

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

In recent years many efforts have been undertaken to simplify coil designs for stellarators due to the difficulties in fabricating non-planar coils. The FOCUS code removes the need for a winding surface and represents the coils as arbitrary…

Plasma Physics · Physics 2022-04-20 N. Lonigro , C. Zhu

In designing stellarators, any design decision ultimately comes with a trade-off. Improvements in particle confinement, for instance, may increase the burden on engineers to build more complex coils, and the tightening of financial…

Plasma Physics · Physics 2023-04-19 David Bindel , Matt Landreman , Misha Padidar

Balancing plasma performance and coil cost is a significant challenge when designing a stellarator power plant. Most current stellarator designs are produced through two-stage optimization: stage-1 for the equilibrium and stage-2 for a coil…

Plasma Physics · Physics 2026-05-01 Lanke Fu , Dario Panici , Elizabeth Paul , Alan Kaptanoglu , Amitava Bhattacharjee

Many stellarator coil design problems are plagued by multiple minima, where the locally optimal coil sets can sometimes vary substantially in performance. As a result, solving a coil design problem a single time with a local optimization…

Computational Physics · Physics 2024-05-22 Andrew Giuliani

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…

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

Combined plasma-coil optimization approaches for designing stellarators are discussed and a new method for calculating free-boundary equilibria is proposed. Four distinct categories of stellarator optimization, two of which are novel…

Plasma Physics · Physics 2021-05-12 Sophia A. Henneberg , Stuart R. Hudson , David Pfefferlé , Per Helander

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…

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

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…

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

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

In this self-contained document, we aim to present the basic theoretical building blocks to understand modeling of stellarator magnetic fields, some of the challenges associated with modeling, and optimization for designing stellarators. As…

Plasma Physics · Physics 2020-08-11 Lise-Marie Imbert-Gerard , Elizabeth J. Paul , Adelle M. Wright

Magnetic confinement devices for nuclear fusion can be large and expensive. Compact stellarators are promising candidates for costreduction, but introduce new difficulties: confinement in smaller volumes requires higher magnetic field,…

Optimization and Control · Mathematics 2022-07-13 Rémi Robin , Francesco Volpe

To better understand the dependence of the magnetic field structure in the plasma edge on the plasma boundary shape, in the context of X-point and island divertor designs, we define and develop a class of stellarators called umbilic…

Plasma Physics · Physics 2026-01-28 R. Gaur , D. Panici , T. M. Elder , M. Landreman , K. E. Unalmis , Y. Elmacioglu , D. Dudt , R. Conlin , E. Kolemen