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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

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

Access to the plasma chamber in a stellarator reactor is essential for maintenance and diagnostics. However, the complex geometry of stellarator coils, often characterized by their strong twisting, can severely limit the space available for…

Plasma Physics · Physics 2025-02-19 A. Baillod , E. J. Paul , T. Elder , J. M. Halpern

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

We present a method for stellarator coil design via gradient-based optimization of the coil-winding surface. The REGCOIL (Landreman 2017 Nucl. Fusion 57 046003) approach is used to obtain the coil shapes on the winding surface using a…

Plasma Physics · Physics 2018-07-04 E. J. Paul , M. Landreman , A. Bader , W. Dorland

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

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

A new stellarator coil design code is introduced that optimizes the position and winding pack orientation of finite-build coils. The new code, called FOCUSADD, performs gradient-based optimization in a high-dimensional, non-convex space.…

Plasma Physics · Physics 2021-02-03 Nick McGreivy , Stuart R. Hudson , Caoxiang Zhu

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…

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

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

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

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

In this work we consider the problem of optimizing a stellarator subject to hard constraints on the design variables and physics properties of the equilibrium. We survey current numerical methods for handling these constraints, and…

Plasma Physics · Physics 2024-11-20 Rory Conlin , Patrick Kim , Daniel W. Dudt , Dario Panici , Egemen Kolemen

Stellarator coils are known for their complexity and departure from planarity, along with tight manufacturing tolerances in order to achieve the target magnetic field accuracy. These requirements can lead to increased costs and delays in…

Instrumentation and Detectors · Physics 2025-07-31 Pedro F. Gil , Vitali Brack , Tristan Schuler , Paul Huslage , E. V. Stenson

This paper deals with the design of the stellarator field with the simple coil set. In order to realize the stellarator field by the simple coil set, the tilted toroidal field coil uses for creating the rotational transform. Sixteen tilted…

Plasma Physics · Physics 2020-12-01 Yasuhiro Suzuki , Jie Huang , Nengchao Wang , Yonghua Ding

A neoclassically optimized compact stellarator with simple coils has been designed. The magnetic field of the new stellarator is generated by only four planar coils including two interlocking coils of elliptical shape and two circular…

Plasma Physics · Physics 2024-06-19 Guodong Yu , Zhichen Feng , Peiyou Jiang , Neil Pomphrey , Matt Landreman , GuoYong Fu

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

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

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