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Title: Effects of a weakly 3-D equilibrium on ideal magnetohydrodynamic instabilities

Abstract

The effect of a small three-dimensional equilibrium distortion on an otherwise axisymmetric configuration is shown to be destabilizing to ideal magnetohydrodynamic modes. The calculations assume that the 3-D fields are weak and that shielding physics is present so that no islands appear in the resulting equilibrium. An eigenfunction that has coupled harmonics of different toroidal mode number is constructed using a perturbation approach. The theory is applied to the case of tokamak H-modes with shielded resonant magnetic perturbations (RMPs) present indicating RMPs can be destabilizing to intermediate-n peeling-ballooning modes.

Authors:
 [1]
  1. Departments of Engineering Physics and Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706 (United States)
Publication Date:
OSTI Identifier:
22304086
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 21; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; BALLOONING INSTABILITY; EQUILIBRIUM; H-MODE PLASMA CONFINEMENT; PERTURBATION THEORY; SHIELDING; TOKAMAK DEVICES

Citation Formats

Hegna, C. C. Effects of a weakly 3-D equilibrium on ideal magnetohydrodynamic instabilities. United States: N. p., 2014. Web. doi:10.1063/1.4887008.
Hegna, C. C. Effects of a weakly 3-D equilibrium on ideal magnetohydrodynamic instabilities. United States. https://doi.org/10.1063/1.4887008
Hegna, C. C. 2014. "Effects of a weakly 3-D equilibrium on ideal magnetohydrodynamic instabilities". United States. https://doi.org/10.1063/1.4887008.
@article{osti_22304086,
title = {Effects of a weakly 3-D equilibrium on ideal magnetohydrodynamic instabilities},
author = {Hegna, C. C.},
abstractNote = {The effect of a small three-dimensional equilibrium distortion on an otherwise axisymmetric configuration is shown to be destabilizing to ideal magnetohydrodynamic modes. The calculations assume that the 3-D fields are weak and that shielding physics is present so that no islands appear in the resulting equilibrium. An eigenfunction that has coupled harmonics of different toroidal mode number is constructed using a perturbation approach. The theory is applied to the case of tokamak H-modes with shielded resonant magnetic perturbations (RMPs) present indicating RMPs can be destabilizing to intermediate-n peeling-ballooning modes.},
doi = {10.1063/1.4887008},
url = {https://www.osti.gov/biblio/22304086}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 21,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}