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Title: Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell

Abstract

In order to characterize the Madison Symmetric Torus (MST) reversed-field pinch (RFP) plasmas that bifurcate to a helical equilibrium, the V3FIT equilibrium reconstruction code was modified to include a conducting boundary. RFP plasmas become helical at a high plasma current, which induces large eddy currents in MST's thick aluminum shell. The V3FIT conducting boundary accounts for the contribution from these eddy currents to external magnetic diagnostic coil signals. This implementation of V3FIT was benchmarked against MSTFit, a 2D Grad-Shafranov solver, for axisymmetric plasmas. The two codes both fit B{sub θ} measurement loops around the plasma minor diameter with qualitative agreement between each other and the measured field. Fits in the 3D case converge well, with q-profile and plasma shape agreement between two distinct toroidal locking phases. Greater than 60% of the measured n = 5 component of B{sub θ} at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.

Authors:
; ; ; ; ; ; ; ;  [1];  [2];  [3]; ;  [4]
  1. Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706 (United States)
  2. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
  3. Department of Physics, Auburn University, Auburn, Alabama 36849 (United States)
  4. Department of Physics and Astronomy, University of California, Los Angeles, California 90095 (United States)
Publication Date:
OSTI Identifier:
22599047
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 3; Other Information: (c) 2016 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; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALUMINIUM; AXIAL SYMMETRY; BENCHMARKS; EDDY CURRENTS; EQUILIBRIUM; MATHEMATICAL SOLUTIONS; PLASMA; REVERSED-FIELD PINCH DEVICES; REVERSE-FIELD PINCH; SHELLS; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Koliner, J. J., Boguski, J., E-mail: boguski@wisc.edu, Anderson, J. K., Chapman, B. E., Den Hartog, D. J., Duff, J. R., Goetz, J. A., McGarry, M., Morton, L. A., Parke, E., Cianciosa, M. R., Hanson, J. D., Brower, D. L., and Ding, W. X. Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell. United States: N. p., 2016. Web. doi:10.1063/1.4944670.
Koliner, J. J., Boguski, J., E-mail: boguski@wisc.edu, Anderson, J. K., Chapman, B. E., Den Hartog, D. J., Duff, J. R., Goetz, J. A., McGarry, M., Morton, L. A., Parke, E., Cianciosa, M. R., Hanson, J. D., Brower, D. L., & Ding, W. X. Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell. United States. doi:10.1063/1.4944670.
Koliner, J. J., Boguski, J., E-mail: boguski@wisc.edu, Anderson, J. K., Chapman, B. E., Den Hartog, D. J., Duff, J. R., Goetz, J. A., McGarry, M., Morton, L. A., Parke, E., Cianciosa, M. R., Hanson, J. D., Brower, D. L., and Ding, W. X. Tue . "Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell". United States. doi:10.1063/1.4944670.
@article{osti_22599047,
title = {Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell},
author = {Koliner, J. J. and Boguski, J., E-mail: boguski@wisc.edu and Anderson, J. K. and Chapman, B. E. and Den Hartog, D. J. and Duff, J. R. and Goetz, J. A. and McGarry, M. and Morton, L. A. and Parke, E. and Cianciosa, M. R. and Hanson, J. D. and Brower, D. L. and Ding, W. X.},
abstractNote = {In order to characterize the Madison Symmetric Torus (MST) reversed-field pinch (RFP) plasmas that bifurcate to a helical equilibrium, the V3FIT equilibrium reconstruction code was modified to include a conducting boundary. RFP plasmas become helical at a high plasma current, which induces large eddy currents in MST's thick aluminum shell. The V3FIT conducting boundary accounts for the contribution from these eddy currents to external magnetic diagnostic coil signals. This implementation of V3FIT was benchmarked against MSTFit, a 2D Grad-Shafranov solver, for axisymmetric plasmas. The two codes both fit B{sub θ} measurement loops around the plasma minor diameter with qualitative agreement between each other and the measured field. Fits in the 3D case converge well, with q-profile and plasma shape agreement between two distinct toroidal locking phases. Greater than 60% of the measured n = 5 component of B{sub θ} at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.},
doi = {10.1063/1.4944670},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 3,
volume = 23,
place = {United States},
year = {2016},
month = {3}
}