Stellarator equilibria and the problem of position control

J. P. Freidberg; P. A. Politzer; Philip Rosenau

doi:10.1063/1.864833

Stellarator equilibria and the problem of position control

J. P. Freidberg^*
, P. A. Politzer
, Philip Rosenau

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A class of low-β stellarator magnetohydrodynamic (MHD) equilibria with β∼(α/R₀)² is introduced, and the corresponding toroidal shift is calculated. It is shown that an apparent paradox exists with regard to the problem of position control in that a vertical field is capable of shifting vacuum flux surfaces, but produces no net body force on a current-free stellarator. This paradox is resolved by an analysis of the transient response of the plasma and demonstrates how the vertical field can be used as a means of position control.

Original language	English
Pages (from-to)	2093-2100
Number of pages	8
Journal	Physics of Fluids
Volume	27
Issue number	8
DOIs	https://doi.org/10.1063/1.864833
State	Published - 1984
Externally published	Yes

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10.1063/1.864833

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abstract = "A class of low-β stellarator magnetohydrodynamic (MHD) equilibria with β∼(α/R0)2 is introduced, and the corresponding toroidal shift is calculated. It is shown that an apparent paradox exists with regard to the problem of position control in that a vertical field is capable of shifting vacuum flux surfaces, but produces no net body force on a current-free stellarator. This paradox is resolved by an analysis of the transient response of the plasma and demonstrates how the vertical field can be used as a means of position control.",

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AB - A class of low-β stellarator magnetohydrodynamic (MHD) equilibria with β∼(α/R0)2 is introduced, and the corresponding toroidal shift is calculated. It is shown that an apparent paradox exists with regard to the problem of position control in that a vertical field is capable of shifting vacuum flux surfaces, but produces no net body force on a current-free stellarator. This paradox is resolved by an analysis of the transient response of the plasma and demonstrates how the vertical field can be used as a means of position control.

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Stellarator equilibria and the problem of position control

Abstract

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