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Related papers: Stellarator optimization for nested magnetic surfa…

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We construct fully three-dimensional (3D) equilibria with pressure anisotropy and closed, nested toroidal magnetic surfaces that are strongly asymmetric in the toroidal direction by applying a sinusoidal perturbation to the axisymmetric…

Plasma Physics · Physics 2026-03-24 D. A. Kaltsas , A. I. Kuiroukidis , G. N. Throumoulopoulos

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

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

Using recently developed adjoint methods for computing the shape derivatives of functions that depend on MHD equilibria (Antonsen et al. 2019; Paul et al. 2020), we present the first example of analytic gradient-based optimization of…

Plasma Physics · Physics 2021-04-21 Elizabeth Paul , Matt Landreman , Thomas Antonsen

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

An optimized stellarator at finite plasma beta is realized by single-stage optimization of simply modifying the coil currents of the Compact Stellarator with Simple Coils (CSSC)[Yu et al., J. Plasma Physics 88,905880306 (2022)]. The CSSC is…

Plasma Physics · Physics 2025-10-31 Haorong Qiu , Guodong Yu , Peiyou Jiang , Guoyong Fu

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 common scientific inverse problem is the placement of magnets that produce a desired magnetic field inside a prescribed volume. This is a key component of stellarator design, and recently permanent magnets have been proposed as a…

Plasma Physics · Physics 2022-10-05 Alan A. Kaptanoglu , Tony Qian , Florian Wechsung , Matt Landreman

Numerical computation of the ideal Magnetohydrodynamic (MHD) equilibrium magnetic field is at the base of stellarator optimisation and provides the starting point for solving more sophisticated Partial Differential Equations (PDEs) like…

Plasma Physics · Physics 2026-04-15 Timo Thun , Rory Conlin , Dario Panici , Daniel Böckenhoff

In stellarators, achieving effective divertor configurations is challenging due to the three-dimensional nature of the magnetic fields, which often leads to chaotic field lines and fuzzy separatrices. This work presents a novel approach to…

Plasma Physics · Physics 2025-11-03 Todd Elder , Matt Landremann , Christoper B. Smiet , Robert Davies

Finding an easy-to-build coils set has been a critical issue for stellarator design for decades. Conventional approaches assume a toroidal "winding" surface. We'll investigate if the existence of winding surface unnecessarily constrains the…

Plasma Physics · Physics 2017-11-22 Caoxiang Zhu , Stuart R. Hudson , Yuntao Song , Yuanxi Wan

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

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

We investigate the existence of magnetohydrostatic equilibria for topologically complex magnetic fields. The approach employed is to perform ideal numerical relaxation experiments. We use a newly-developed Lagrangian relaxation scheme that…

Solar and Stellar Astrophysics · Physics 2017-10-19 Simon Candelaresi , David Pontin , Gunnar Hornig

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

In fusion reactor design, steels under consideration for the blanket are ferromagnetic, so the steel's effect on the plasma physics must be examined. For efficient calculation of these fields, we can exploit the fact that the magnetic…

Plasma Physics · Physics 2026-01-13 Matt Landreman , Humberto Torreblanca , Antoine Cerfon

We introduce a topology optimization method to design permanent magnets for advanced stellarators. Recent researches show that permanent magnets have great potentials to simplify stellarator coils. We adopt state-of-the-art numerical…

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

3D equilibrium codes are vital for stellarator design and operation, and high-accuracy equilibria are also necessary for stability studies. This paper details comparisons of two three-dimensional equilibrium codes, VMEC, which uses a…

Plasma Physics · Physics 2023-04-03 Dario Panici , Rory Conlin , Daniel W. Dudt , Kaya Unalmis , Egemen Kolemen

A direct construction of equilibrium magnetic fields with toroidal topology at arbitrary order in the distance from the magnetic axis is carried out, yielding an analytical framework able to explore the landscape of possible magnetic flux…

Plasma Physics · Physics 2020-01-29 R. Jorge , W. Sengupta , M. Landreman