Ideal ballooning stability near an equilibrium magnetic island

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The stability properties of ideal ballooning modes on toroidal flux surfaces near a quasistatic magnetic island is examined. On these surfaces, magnetic field-line trajectories tend to bunch on that part of the magnetic surface closet to the X-point of the magnetic island. Because of this preferential bunching, the stabilizing effect of field-line bending due to magnetic shear can be reduced. Eigenfunctions localized in helical angle near the X-point and in poloidal angle on the bad curvature side of the tokamak are more susceptible to ballooning instability than are modes in corresponding equilibria without the magnetic island. For a slowly growing ... continued below

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Pages: (21 p)

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Hegna, C.C. & Callen, J.D. March 1, 1992.

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The stability properties of ideal ballooning modes on toroidal flux surfaces near a quasistatic magnetic island is examined. On these surfaces, magnetic field-line trajectories tend to bunch on that part of the magnetic surface closet to the X-point of the magnetic island. Because of this preferential bunching, the stabilizing effect of field-line bending due to magnetic shear can be reduced. Eigenfunctions localized in helical angle near the X-point and in poloidal angle on the bad curvature side of the tokamak are more susceptible to ballooning instability than are modes in corresponding equilibria without the magnetic island. For a slowly growing island, a growing number of flux surfaces located near the separatrix become ballooning unstable. Secondary ballooning instabilities may play a part in the crash phase of sawteeth or macroscopic island dynamics.

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Pages: (21 p)

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OSTI; NTIS; INIS; GPO Dep.

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  • Other: DE92011730
  • Report No.: UW-CPTC-92-1
  • Grant Number: FG02-86ER53218
  • DOI: 10.2172/5442579 | External Link
  • Office of Scientific & Technical Information Report Number: 5442579
  • Archival Resource Key: ark:/67531/metadc1067811

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Office of Scientific & Technical Information Technical Reports

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  • March 1, 1992

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • March 5, 2018, 6:22 p.m.

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Hegna, C.C. & Callen, J.D. Ideal ballooning stability near an equilibrium magnetic island, report, March 1, 1992; United States. (digital.library.unt.edu/ark:/67531/metadc1067811/: accessed August 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.