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

J. J. Koliner; M. R. Cianciosa; J. Boguski; J. K. Anderson; J. D. Hanson; B. E. Chapman; D. L. Brower; D. J. Den Hartog; W. X. Ding; J. R. Duff; J. A. Goetz; M. McGarry; L. A. Morton; E. Parke

doi:10.1063/1.4944670

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

J. J. Koliner, M. R. Cianciosa, J. Boguski, J. K. Anderson, J. D. Hanson, B. E. Chapman, D. L. Brower, D. J. Den Hartog, W. X. Ding, J. R. Duff, J. A. Goetz, M. McGarry, L. A. Morton, E. Parke

Plasma Theory and Modeling

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9 Scopus citations

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_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_θ at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.

Original language	English
Article number	032508
Journal	Physics of Plasmas
Volume	23
Issue number	3
DOIs	https://doi.org/10.1063/1.4944670
State	Published - Mar 2016

Funding

This material is based upon work supported by the U.S. Department of Energy Office of Science, Office of Fusion Energy Sciences program under Award No. DE-FC02-05ER54814.

Funders	Funder number
U.S. Department of Energy Office of Science
Fusion Energy Sciences	DE-FC02-05ER54814

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Koliner, J. J., Cianciosa, M. R., Boguski, J., Anderson, J. K., Hanson, J. D., Chapman, B. E., Brower, D. L., Den Hartog, D. J., Ding, W. X., Duff, J. R., Goetz, J. A., McGarry, M., Morton, L. A., & Parke, E. (2016). Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell. Physics of Plasmas, 23(3), Article 032508. https://doi.org/10.1063/1.4944670

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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 Bθ 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 Bθ at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.",

author = "Koliner, {J. J.} and Cianciosa, {M. R.} and J. Boguski and Anderson, {J. K.} and Hanson, {J. D.} and Chapman, {B. E.} and Brower, {D. L.} and {Den Hartog}, {D. J.} and Ding, {W. X.} and Duff, {J. R.} and Goetz, {J. A.} and M. McGarry and Morton, {L. A.} and E. Parke",

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year = "2016",

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doi = "10.1063/1.4944670",

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journal = "Physics of Plasmas",

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Koliner, JJ, Cianciosa, MR, Boguski, J, Anderson, JK, Hanson, JD, Chapman, BE, Brower, DL, Den Hartog, DJ, Ding, WX, Duff, JR, Goetz, JA, McGarry, M, Morton, LA & Parke, E 2016, 'Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell', Physics of Plasmas, vol. 23, no. 3, 032508. https://doi.org/10.1063/1.4944670

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T1 - Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell

AU - Koliner, J. J.

AU - Cianciosa, M. R.

AU - Boguski, J.

AU - Anderson, J. K.

AU - Hanson, J. D.

AU - Chapman, B. E.

AU - Brower, D. L.

AU - Den Hartog, D. J.

AU - Ding, W. X.

AU - Duff, J. R.

AU - Goetz, J. A.

AU - McGarry, M.

AU - Morton, L. A.

AU - Parke, E.

PY - 2016/3

Y1 - 2016/3

N2 - 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 Bθ 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 Bθ at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.

AB - 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 Bθ 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 Bθ at r = a is due to eddy currents in the shell, as calculated by the conducting boundary model.

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

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