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Ideal ballooning stability near an equilibrium magnetic island

Technical Report ·
DOI:https://doi.org/10.2172/10137308· OSTI ID:10137308

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.

Research Organization:
Wisconsin Univ., Madison, WI (United States). Center for Plasma Theory and Computation
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
FG02-86ER53218
OSTI ID:
10137308
Report Number(s):
UW-CPTC--92-1; ON: DE92011730
Country of Publication:
United States
Language:
English

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