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The development of stellarators that use permanent magnet arrays to shape their confining magnetic fields has been a topic of recent interest, but the requirements for how such magnets must be shaped, manufactured, and assembled remain to…

Plasma Physics · Physics 2020-09-04 K. C. Hammond , C. Zhu , T. Brown , K. Corrigan , D. A. Gates , M. Sibilia

This study investigates a simplified stellarator configuration employing circular coils, in which rotational transform is generated by tilting the toroidal field (TF) coils. A pair of axisymmetric poloidal field (PF) coils is introduced to…

Plasma Physics · Physics 2026-04-09 Ashit Kumar Nath , Yasuhiro Suzuki

The two-dimentional (2D) separatrix shaping plays a crucial role in the confinement of the Field Reversed Configuration (FRC), and the magnetic coils serve as an effective means for its control. In this work we develop a method to optimize…

Plasma Physics · Physics 2023-11-08 Zitong Qu , Ping Zhu , Zhipeng Chen , Haolong Li , Jiaxing Liu

Nuclear fusion using magnetic confinement holds promise as a viable method for sustainable energy. However, most fusion devices have been experimental and as we move towards energy reactors, we are entering into a new paradigm of…

Plasma Physics · Physics 2023-10-04 Timothy Nunn , Vignesh Gopakumar , Sebastien Kahn

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

A method is demonstrated to optimize a stellarator's geometry to eliminate magnetic islands and achieve other desired physics properties at the same time. For many physics quantities that have been used in stellarator optimization,…

Plasma Physics · Physics 2021-09-22 Matt Landreman , Bharat Medasani , Caoxiang Zhu

With the advances in the optimization of magnetic field equilibria, stellarators have become a serious alternative to the tokamak, bringing this concept to the forefront of the pursuit of fusion energy. In order to be successful in…

Plasma Physics · Physics 2024-03-05 M. Madeira , R. Jorge

Magnetically-sensitive experiments and newly-developed quantum technologies with integrated high-permeability magnetic shields require increasing control of their magnetic field environment and reductions in size, weight, power and cost.…

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

Stellarator plasmas are externally controlled to a degree unparalleled by any other fusion concept, magnetic or inertial. This control is largely through the magnetic fields produced by external coils. The development of fusion energy could…

Plasma Physics · Physics 2024-03-29 Allen H Boozer

Stellarator fusion devices confine plasma by means of complex, non-planar electromagnetic coils. Understanding how the shape of the plasma boundary determines the required complexity of the coil set is a central open question in stellarator…

Plasma Physics · Physics 2026-05-19 Andrea Pavone , Sehyun Kwak , Felix Warmer

Quasisymmetric stellarators are appealing intellectually and as fusion reactor candidates since the guiding center particle trajectories and neoclassical transport are isomorphic to those in a tokamak, implying good confinement. Previously,…

Plasma Physics · Physics 2019-01-23 Matt Landreman , Wrick Sengupta , Gabriel G Plunk

In magnetic confinement fusion devices, the equilibrium configuration of a plasma is determined by the balance between the hydrostatic pressure in the fluid and the magnetic forces generated by an array of external coils and the plasma…

Numerical Analysis · Mathematics 2021-11-24 Howard C. Elman , Jiaxing Liang , Tonatiuh Sánchez-Vizuet

We consider the Vlasov-Poisson system that is equipped with an external magnetic field to describe the time evolution of the distribution function of a plasma. An optimal control problem where the external magnetic field is the control…

Optimization and Control · Mathematics 2021-10-12 Patrik Knopf , Jörg Weber

In stellarator optimization studies, the boundary of the plasma is usually described by Fourier series that are not unique: several sets of Fourier coefficients describe approximately the same boundary shape. A simple method for eliminating…

Plasma Physics · Physics 2021-10-04 Sophia A. Henneberg , Per Helander , Michael Drevlak

In stellarator design, the coil winding surfaces $\Sigma\subset\mathbb R^3$ support current distributions $j$ that shape the magnetic field. This work provides a theoretical framework explaining the emergence of centre and saddle point…

Plasma Physics · Physics 2026-03-05 Wadim Gerner , Anouk Nicolopoulos-Salle , Diego Pereira Botelho

The design of divertor targets and baffles for optimal heat and particle exhaust from magnetically confined fusion plasmas requires a combination of fast, low-fidelity models (such as EMC3-lite [1]) for scoping studies and high-fidelity…

Computational Physics · Physics 2025-02-14 H. Frerichs , D. Boeyaert , Y. Feng , K. A. Garcia

We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By modeling coil errors independently from the coil…

Optimization and Control · Mathematics 2022-05-18 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

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

The design of a stellarator with acceptable confinement properties requires optimization of the magnetic field in the non-convex, high-dimensional spaces describing their geometry. Another major challenge facing the stellarator program is…

Plasma Physics · Physics 2020-05-18 Elizabeth Paul