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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

We develop protocols to confine charged particles using time-varying magnetic fields and demonstrate the possible non-torus configuration resulting from the distribution of single-particle motion orbits. A two-step strategy is proposed to…

Plasma Physics · Physics 2023-11-30 Shao-Wu Yao , Bo You , Yue-Hao Yin , Zhi-Yong Wu , Li-Xiang Cen

The separation between the last closed flux surface of a plasma and the external coils that magnetically confine it is a limiting factor in the construction of fusion-capable plasma devices. This plasma-coil separation must be large enough…

Plasma Physics · Physics 2023-09-21 John Kappel , Matt Landreman , Dhairya Malhotra

We consider a problem relating to magnetic confinement devices known as stellarators. Plasma is confined by magnetic fields generated by current-carrying coils, and here we investigate how closely to the plasma they need to be positioned.…

Analysis of PDEs · Mathematics 2021-08-18 Adam J. Golab , James C. Robinson , José L. Rodrigo

The overarching goal of beamline design is to achieve a high brightness electron beam from the beamline. Traditional beamline design studies involved separate optimizations of radio-frequency cavities, magnets, and beam dynamics using…

Accelerator Physics · Physics 2023-11-17 Gongxiaohui Chen , Tyler H. Chang , John Power , Chungunag Jing

We present the final configuration chosen to be build for the Columbia Stellarator eXperiment (CSX), a new stellartor experiment at Columbia University. In a recent publication, Baillod et al. (NF, 2025) discussed in detail the different…

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

Information Theory · Computer Science 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

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…

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

Most quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength $B$. At high aspect ratio, a faster approach is to…

Plasma Physics · Physics 2019-06-26 Matt Landreman

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

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

We propose a new heuristic approach for solving the challenge of determining optimal placements for geomagnetically induced current blocking devices on electrical grids. Traditionally, these determinations are approached by formulating the…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Ahmed Attia , Arthur Barnes , Russell Bent , Sven Leyffer , Adam Mate

The confinement of guiding center trajectories in a stellarator is determined by the variation of the magnetic field strength $B$ in Boozer coordinates $(r, \theta, \varphi)$, but $B(r,\theta,\varphi)$ depends on the flux surface shape in a…

Plasma Physics · Physics 2019-01-16 Matt Landreman , Wrick Sengupta

This paper proposes a method to calculate the wires distribution for generating required electromagnetic field. Instead of solving the distribution of wires directly, we formulate the problem into zero-one programming form. By applying the…

Computational Physics · Physics 2016-01-15 Tianqi Hong

In this article we present a method to design a coil producing an arbitrarily shaped magnetic field by restricting the path of the coil's wires to a regular grid. The solution is then found by a simple least squares minimum. We discuss…

Instrumentation and Detectors · Physics 2018-08-15 M. Rawlik , C. Crawford , A. Eggenberger , K. Kirch , J. Krempel , F. M. Piegsa , G. Quéméner

A single-field-period quasi-isodynamic stellarator configuration is presented. This configuration, which resembles a twisted strip, is obtained by the method of direct construction, that is, it is found via an expansion in the distance from…

Plasma Physics · Physics 2022-11-23 R. Jorge , G. G. Plunk , M. Drevlak , M. Landreman , J. -F. Lobsien , K. Camacho Mata , P. Helander

Given the growing concern of reducing CO2 emissions, it is desirable to identify, for a given separation carried out through a membrane cascade, the optimum design that yields the lowest energy consumption. Nevertheless, designing a…

Optimization and Control · Mathematics 2021-02-11 Jose Adrian Chavez Velasco , Radhakrishna Tumbalam Gooty , Mohit Tawarmalani , Rakesh Agrawal

We describe a framework to assemble permanent-magnet cubes in 3D-printed frames to construct dipole, quadrupole, and solenoid magnets, whose field, in the absence of iron, can be calculated analytically in three spatial dimensions. Rotating…

Accelerator Physics · Physics 2021-12-06 Volker Ziemann

Permanent magnets provide an attractive path for shaping university-scale stellarator magnetic fields. Previous work has shown that greedy permanent magnet optimization (GPMO) can produce sparse, grid-aligned arrays that match target…

Plasma Physics · Physics 2025-12-18 Armin Ulrich , Mason Haberle , Alan A. Kaptanoglu
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