Averaged Equilibrium and Stability in Low-aspect-ratio Stellarators

Averaged Equilibrium and Stability in Low-aspect-ratio Stellarators
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Total Pages:
Release: 1989
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ISBN:

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The MHD equilibrium and stability calculations or stellarators are complex because of the intrinsic three-dimensional (3-D) character of these configurations. The stellarators expansion simplifies the equilibrium calculation by reducing it to a two-dimensional (2-D) problem. The classical stellarator expansion includes terms up to order epsilon2, and the vacuum magnetic field is also included up to this order. For large-aspect-ratio configurations, the results of the stellarator expansion agree well with 3-D numerical equilibrium results. But for low-aspect-ratio configurations, these are significant discrepancies with 3-D equilibrium calculations. The main reason for these discrepancies is the approximation in the vacuum field contributions. This problem can be avoided by applying the average method in a vacuum flux coordinate system. In this way, the exact vacuum magnetic field contribution is included and the results agree well with 3-D equilibrium calculations even for low-aspect-ratio configurations. Using the average method in a vacuum flux coordinate system also permit the accurate calculation of local stability properties with the Mercier criterion. The main improvement is in the accurate calculation of the geodesic curvature term. In this paper, we discuss the application of the average method in flux coordinates to the calculation of the Mercier criterion for low-aspect-ratio stellarator configurations. 12 refs., 3 figs.

Fusion Energy Update

Fusion Energy Update
Author:
Publisher:
Total Pages: 116
Release: 1980
Genre: Controlled fusion
ISBN:

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Energy Research Abstracts

Energy Research Abstracts
Author:
Publisher:
Total Pages: 876
Release: 1986
Genre: Power resources
ISBN:

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Comparison of Two-dimensional and Three-dimensional MHD Equilibrium and Stability Codes

Comparison of Two-dimensional and Three-dimensional MHD Equilibrium and Stability Codes
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Release: 1986
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ISBN:

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Stability results obtained with the fully three-dimensional magnetohydrodynamic code BETA, the helically invariant code HERA, and the asymptotic stellarator expansion code STEP agree well for a straight l = 2, M = 5 stellarator model. This good agreement between the BETA and STEP codes persists as toroidal curvature is introduced. This validation provides justification for confidence in work with these models. 20 refs., 11 figs.

Energy Research Abstracts

Energy Research Abstracts
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Publisher:
Total Pages: 892
Release: 1987
Genre: Power resources
ISBN:

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Includes all works deriving from DOE, other related government-sponsored information and foreign nonnuclear information.

Stellarator and Heliotron Devices

Stellarator and Heliotron Devices
Author: Masahiro Wakatani
Publisher: Oxford University Press, USA
Total Pages: 462
Release: 1998
Genre: Language Arts & Disciplines
ISBN: 9780195078312

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This monograph describes plasma physics for magnetic confinement of high temperature plasmas in nonaxisymmetric toroidal magnetic fields or stellarators. The techniques are aimed at controlling nuclear fusion for continuous energy production. While the focus is on the nonaxisymmetric toroidal field, or heliotron, developed at Kyoto University, the physics applies equally to other stellarators and axisymmetric tokamaks. The author covers all aspects of magnetic confinement, formation of magnetic surfaces, magnetohydrodynamic equilibrium and stability, single charged particle confinement, neoclassical transport and plasma heating. He also reviews recent experiments and the prospects for the next generation of devices.