Magnetohydrodynamics stability of compact stellarators

G. Y. Fu; L. P. Ku; W. A. Cooper; S. H. Hirshman; D. A. Monticello; M. H. Redi; A. Reiman; R. Sanchez; D. A. Spong

doi:10.1063/1.874002

Magnetohydrodynamics stability of compact stellarators

G. Y. Fu, L. P. Ku, W. A. Cooper, S. H. Hirshman, D. A. Monticello, M. H. Redi, A. Reiman, R. Sanchez, D. A. Spong

Plasma Theory and Modeling

Research output: Contribution to journal › Conference article › peer-review

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Abstract

Recent stability results of external kink modes and vertical modes in compact stellarators are presented. The vertical mode is found to be stabilized by externally generated poloidal flux. A simple stability criterion is derived in the limit of large aspect ratio and constant current density. For a wall at infinite distance from the plasma, the amount of external flux needed for stabilization is given by F_i=(κ²-κ)/(κ²+1), where κ is the axisymmetric elongation and F_i is the fraction of the external rotational transform. A systematic parameter study shows that the external kink mode in a quasiaxisymmetric stellarator (QAS) can be stabilized at high beta (∼5%) without a conducting wall by magnetic shear via three-dimensional (3D) shaping. It is found that external kinks are driven by both parallel current and pressure gradient. The pressure contributes significantly to the overall drive through the curvature term and the Pfirsch-Schluter current.

Original language	English
Pages (from-to)	1809-1815
Number of pages	7
Journal	Physics of Plasmas
Volume	7
Issue number	5 II
DOIs	https://doi.org/10.1063/1.874002
State	Published - May 2000
Event	41st Annual Meeting of the Division of Plasma Physics of the Ameircan Physical Society - Seattle, WA, United States Duration: Nov 15 1999 → Nov 19 1999

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@article{e77bd057fbb3411ab48e00ccc23d6f16,

title = "Magnetohydrodynamics stability of compact stellarators",

abstract = "Recent stability results of external kink modes and vertical modes in compact stellarators are presented. The vertical mode is found to be stabilized by externally generated poloidal flux. A simple stability criterion is derived in the limit of large aspect ratio and constant current density. For a wall at infinite distance from the plasma, the amount of external flux needed for stabilization is given by Fi=(κ2-κ)/(κ2+1), where κ is the axisymmetric elongation and Fi is the fraction of the external rotational transform. A systematic parameter study shows that the external kink mode in a quasiaxisymmetric stellarator (QAS) can be stabilized at high beta (∼5%) without a conducting wall by magnetic shear via three-dimensional (3D) shaping. It is found that external kinks are driven by both parallel current and pressure gradient. The pressure contributes significantly to the overall drive through the curvature term and the Pfirsch-Schluter current.",

author = "Fu, {G. Y.} and Ku, {L. P.} and Cooper, {W. A.} and Hirshman, {S. H.} and Monticello, {D. A.} and Redi, {M. H.} and A. Reiman and R. Sanchez and Spong, {D. A.}",

year = "2000",

month = may,

doi = "10.1063/1.874002",

language = "English",

volume = "7",

pages = "1809--1815",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics",

number = "5 II",

note = "41st Annual Meeting of the Division of Plasma Physics of the Ameircan Physical Society ; Conference date: 15-11-1999 Through 19-11-1999",

}

TY - JOUR

T1 - Magnetohydrodynamics stability of compact stellarators

AU - Fu, G. Y.

AU - Ku, L. P.

AU - Cooper, W. A.

AU - Hirshman, S. H.

AU - Monticello, D. A.

AU - Redi, M. H.

AU - Reiman, A.

AU - Sanchez, R.

AU - Spong, D. A.

PY - 2000/5

Y1 - 2000/5

N2 - Recent stability results of external kink modes and vertical modes in compact stellarators are presented. The vertical mode is found to be stabilized by externally generated poloidal flux. A simple stability criterion is derived in the limit of large aspect ratio and constant current density. For a wall at infinite distance from the plasma, the amount of external flux needed for stabilization is given by Fi=(κ2-κ)/(κ2+1), where κ is the axisymmetric elongation and Fi is the fraction of the external rotational transform. A systematic parameter study shows that the external kink mode in a quasiaxisymmetric stellarator (QAS) can be stabilized at high beta (∼5%) without a conducting wall by magnetic shear via three-dimensional (3D) shaping. It is found that external kinks are driven by both parallel current and pressure gradient. The pressure contributes significantly to the overall drive through the curvature term and the Pfirsch-Schluter current.

AB - Recent stability results of external kink modes and vertical modes in compact stellarators are presented. The vertical mode is found to be stabilized by externally generated poloidal flux. A simple stability criterion is derived in the limit of large aspect ratio and constant current density. For a wall at infinite distance from the plasma, the amount of external flux needed for stabilization is given by Fi=(κ2-κ)/(κ2+1), where κ is the axisymmetric elongation and Fi is the fraction of the external rotational transform. A systematic parameter study shows that the external kink mode in a quasiaxisymmetric stellarator (QAS) can be stabilized at high beta (∼5%) without a conducting wall by magnetic shear via three-dimensional (3D) shaping. It is found that external kinks are driven by both parallel current and pressure gradient. The pressure contributes significantly to the overall drive through the curvature term and the Pfirsch-Schluter current.

UR - http://www.scopus.com/inward/record.url?scp=0000803611&partnerID=8YFLogxK

U2 - 10.1063/1.874002

DO - 10.1063/1.874002

M3 - Conference article

AN - SCOPUS:0000803611

SN - 1070-664X

VL - 7

SP - 1809

EP - 1815

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 5 II

T2 - 41st Annual Meeting of the Division of Plasma Physics of the Ameircan Physical Society

Y2 - 15 November 1999 through 19 November 1999

ER -

Magnetohydrodynamics stability of compact stellarators

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