Marginal Stability Boundaries for Infinite-n Ballooning Modes in a Quasi-axisymmetric Stellarator

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A method for computing the ideal-MHD stability boundaries in three-dimensional equilibria is employed. Following Hegna and Nakajima [Phys. Plasmas 5 (May 1998) 1336], a two-dimensional family of equilibria are constructed by perturbing the pressure and rotational-transform profiles in the vicinity of a flux surface for a given stellarator equilibrium. The perturbations are constrained to preserve the magnetohydrodynamic equilibrium condition. For each perturbed equilibrium, the infinite-n ballooning stability is calculated. Marginal stability diagrams are thus constructed that are analogous to (s; a) diagrams for axisymmetric configurations. A quasi-axisymmetric stellarator is considered. Calculations of stability boundaries generally show regions of instability can ... continued below

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1.2 MB pages

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Hudson, S.R. & Hegna, C.C. September 15, 2003.

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A method for computing the ideal-MHD stability boundaries in three-dimensional equilibria is employed. Following Hegna and Nakajima [Phys. Plasmas 5 (May 1998) 1336], a two-dimensional family of equilibria are constructed by perturbing the pressure and rotational-transform profiles in the vicinity of a flux surface for a given stellarator equilibrium. The perturbations are constrained to preserve the magnetohydrodynamic equilibrium condition. For each perturbed equilibrium, the infinite-n ballooning stability is calculated. Marginal stability diagrams are thus constructed that are analogous to (s; a) diagrams for axisymmetric configurations. A quasi-axisymmetric stellarator is considered. Calculations of stability boundaries generally show regions of instability can occur for either sign of the average magnetic shear. Additionally, regions of second-stability are present.

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1.2 MB pages

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INIS; OSTI as DE00815099

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  • Other Information: PBD: 15 Sep 2003

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  • Report No.: PPPL-3871
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/815099 | External Link
  • Office of Scientific & Technical Information Report Number: 815099
  • Archival Resource Key: ark:/67531/metadc740432

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  • September 15, 2003

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  • Oct. 18, 2015, 6:40 p.m.

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  • April 15, 2016, 7:35 p.m.

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Hudson, S.R. & Hegna, C.C. Marginal Stability Boundaries for Infinite-n Ballooning Modes in a Quasi-axisymmetric Stellarator, report, September 15, 2003; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc740432/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.