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Single-stage optimization, also known as combined plasma-coil algorithms or direct coil optimization, has recently emerged as a possible method to expedite the design of stellarator devices by including, in a single step, confinement,…

Plasma Physics · Physics 2024-06-13 R. Jorge , A. Giuliani , J. Loizu

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

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

Designing magnets for three-dimensional plasma confinement is a key task for advancing the stellarator as a fusion reactor concept. Stellarator magnets must produce an accurate field while leaving adequate room for other components and…

Plasma Physics · Physics 2025-03-12 K. C. Hammond

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

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

Filament-based coil optimizations are performed for several quasihelical stellarator configurations, notably the one from [M. Landreman, E. Paul, PRL 128, 035001, 2022], demonstrating that precise quasihelical symmetry can be achieved with…

Plasma Physics · Physics 2023-11-29 Alexander Vyacheslav Wiedman , Stefan Buller , Matt Landreman

A common optimization problem in the areas of magnetized plasmas and fusion energy is the design of magnets to produce a given three-dimensional magnetic field distribution to high precision. When designing arrays of permanent magnets for…

Plasma Physics · Physics 2024-02-20 K. C. Hammond , A. A. Kaptanoglu

The Columbia Stellarator eXperiment (CSX), currently being designed at Columbia University, aims to test theoretical predictions related to QA plasma behavior, and to pioneer the construction of an optimized stellarator using…

Plasma Physics · Physics 2024-09-10 A. Baillod , E. J. Paul , G. Rawlinson , M. Haque , S. W. Freiberger , S. Thapa

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

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

In this paper, the design of the the plasma equilibrium and superconducting coils for the Electrons and Positrons in an Optimized Stellarator EPOS experiment is presented. With newly developed stellarator optimization tools, including…

We present a technique that can be used to design stellarators with a high degree of experimental flexibility. For our purposes, flexibility is defined by the range of values the rotational transform can take on the magnetic axis of the…

Plasma Physics · Physics 2022-11-10 Brandon F Lee , Elizabeth J Paul , Georg Stadler , Matt Landreman

In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case…

Plasma Physics · Physics 2022-05-04 Silke Glas , Misha Padidar , Ariel Kellison , David Bindel

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 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

Coil complexity is a critical consideration in stellarator design. The traditional two-step optimization approach, in which the plasma boundary is optimized for physics properties and the coils are subsequently optimized to be consistent…

Plasma Physics · Physics 2021-04-26 Arthur Carlton-Jones , Elizabeth J. Paul , William Dorland

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…

We present the first single-stage optimization of islands in finite-$\beta$ stellarator equilibria. Stellarator optimization is traditionally performed as a two-stage process; in the first stage, an optimal equilibrium is calculated which…

Plasma Physics · Physics 2024-07-03 Christopher Berg Smiet , Joaquim Loizu , Erol Balkovic , Antoine Baillod

The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by…

Plasma Physics · Physics 2024-10-15 Siena Hurwitz , Matt Landreman , Alan Kaptanoglu
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