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Title: Resistive stability of 2/1 modes near 1/1 resonance

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.2515224· OSTI ID:20975047
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  1. University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104 (United States)

The stability of resistive modes is examined using reconstructions of experimental equilibria in the DIII-D tokamak [J. L. Luxon and L. G. Davis, Fusion Technol. 8, 441 (1985)], revealing the important physics in mode onset as discharges evolve to instability. Experimental attempts to access the highest {beta} in tokamak discharges, including 'hybrid' discharges, are typically terminated by the growth of a large 2/1 tearing mode. Model equilibria, based on experimental reconstructions from one of these discharges with steady state axial q{sub 0}{approx_equal}1, are generated varying q{sub 0} and pressure. For each equilibrium, the PEST-III code [A. Pletzer, A. Bondeson, and R. L. Dewar, J. Comput. Phys. 115, 530 (1994)] is used to determine the ideal magnetohydrodynamic solution including both tearing and interchange parities. This outer region solution must be matched to the resistive inner layer solutions at the rational surface to determine resistive mode stability. From this analysis it is found that the approach to q=1 simultaneously causes the 2/1 mode to become unstable and the nonresonant 1/1 displacement to become large, as the ideal {beta} limit rapidly decreases toward the experimental value. However, the 2/2 harmonic on axis, which is also large and is coupled to the saturated steady state 3/2 mode, is thought to contribute to the current drive sustaining q{sub 0} above 1 in these hybrid discharges. Thus, the approach to the q=1 resonance is self-limiting in this context. This work suggests that sustaining q{sub 0} slightly above 1 will avoid the 2/1 instability and will allow access to significantly higher {beta} values in these discharges.

OSTI ID:
20975047
Journal Information:
Physics of Plasmas, Vol. 14, Issue 5; Other Information: DOI: 10.1063/1.2515224; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English