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

Koliner, J. J.; 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.; Parker, E.

doi:10.1063/1.4944670

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

Journal Article · Fri Mar 25 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4944670· OSTI ID:1261367

Koliner, J. J. ^[1]; Boguski, J. ^[1]; Anderson, J. K. ^[1]; Hanson, J. D. ^[2]; Chapman, B. E. ^[1]; Brower, D. L. ^[3]; Den Hartog, D. J. ^[1]; Ding, W. X. ^[3]; Duff, J. R. ^[1]; Goetz, J. A. ^[1]; McGarry, M. ^[1]; Morton, L. A. ^[1]; Parker, E. ^[1]

Univ. of Wisconsin, Madison, WI (United States)
Auburn Univ., AL (United States)
Univ. of California, Los Angeles, CA (United States)

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

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725; FC0205ER54814

OSTI ID:: 1261367

Alternate ID(s):: OSTI ID: 1243361

Journal Information:: Physics of Plasmas, Vol. 23, Issue 3; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (35)

Effects of enhanced toroidal field ripple on JET plasmas Sadler, G.; Barabaschi, P.; Bertolini, E. Plasma Physics and Controlled Fusion, Vol. 34, Issue 13 https://doi.org/10.1088/0741-3335/34/13/028	journal	December 1992
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary Evans, T. E.; Moyer, R. A.; Thomas, P. R. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.235003	journal	June 2004
Modelling of plasma response to resonant magnetic perturbation fields in MAST and ITER Liu, Yueqiang; Kirk, A.; Gribov, Y. Nuclear Fusion, Vol. 51, Issue 8 https://doi.org/10.1088/0029-5515/51/8/083002	journal	June 2011
Mitigation of type-I ELMs with n = 2 fields on JET with ITER-like wall Liang, Y.; Lomas, P.; Nunes, I. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073036	journal	June 2013
Helical ITER hybrid scenario equilibria Cooper, W. A.; Graves, J. P.; Sauter, O. Plasma Physics and Controlled Fusion, Vol. 53, Issue 2 https://doi.org/10.1088/0741-3335/53/2/024002	journal	January 2011
Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus Weller, A.; Cheetham, A. D.; Edwards, A. W. Physical Review Letters, Vol. 59, Issue 20 https://doi.org/10.1103/PhysRevLett.59.2303	journal	November 1987
Observation of m=1, n=1 oscillations following the injection of a fuel pellet into the Alcator C tokamak Parker, J.; Greenwald, M.; Petrasso, R. Nuclear Fusion, Vol. 27, Issue 5 https://doi.org/10.1088/0029-5515/27/5/015	journal	May 1987
Tungsten as target material in fusion devices Naujoks, D.; Asmussen, K.; Bessenrodt-Weberpals, M. Nuclear Fusion, Vol. 36, Issue 6 https://doi.org/10.1088/0029-5515/36/6/I01	journal	June 1996
Single helicity: a new paradigm for the reversed field pinch Escande, D. F.; Cappello, S.; D'Angelo, F. Plasma Physics and Controlled Fusion, Vol. 42, Issue 12B https://doi.org/10.1088/0741-3335/42/12B/319	journal	December 2000
Single-Helical-Axis States in Reversed-Field-Pinch Plasmas Lorenzini, R.; Terranova, D.; Alfier, A. Physical Review Letters, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevLett.101.025005	journal	July 2008
Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas Lorenzini, R.; Martines, E.; Piovesan, P. Nature Physics, Vol. 5, Issue 8 https://doi.org/10.1038/nphys1308	journal	June 2009
Overview of quasi-single helicity experiments in reversed field pinches Martin, P.; Marrelli, L.; Spizzo, G. Nuclear Fusion, Vol. 43, Issue 12 https://doi.org/10.1088/0029-5515/43/12/028	journal	December 2003
V3FIT: a code for three-dimensional equilibrium reconstruction Hanson, James D.; Hirshman, Steven P.; Knowlton, Stephen F. Nuclear Fusion, Vol. 49, Issue 7 https://doi.org/10.1088/0029-5515/49/7/075031	journal	July 2009
Non-axisymmetric equilibrium reconstruction for stellarators, reversed field pinches and tokamaks Hanson, J. D.; Anderson, D. T.; Cianciosa, M. Nuclear Fusion, Vol. 53, Issue 8 https://doi.org/10.1088/0029-5515/53/8/083016	journal	July 2013
Helical equilibrium reconstruction with V3FIT in the RFX-mod Reversed Field Pinch Terranova, D.; Marrelli, L.; Hanson, J. D. Nuclear Fusion, Vol. 53, Issue 11 https://doi.org/10.1088/0029-5515/53/11/113014	journal	September 2013
The Madison Symmetric Torus Dexter, R. N.; Kerst, D. W.; Lovell, T. W. Fusion Technology, Vol. 19, Issue 1 https://doi.org/10.13182/FST91-A29322	journal	January 1991
Magnetic reconstruction of nonaxisymmetric quasi-single-helicity configurations in the Madison Symmetric Torus Auriemma, F.; Zanca, P.; Bergerson, W. F. Plasma Physics and Controlled Fusion, Vol. 53, Issue 10 https://doi.org/10.1088/0741-3335/53/10/105006	journal	September 2011
Bifurcation to 3D Helical Magnetic Equilibrium in an Axisymmetric Toroidal Device Bergerson, W. F.; Auriemma, F.; Chapman, B. E. Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.255001	journal	December 2011
Erratum: “Observation of tearing mode deceleration and locking due to eddy currents induced in a conducting shell” [Phys. Plasmas 11 , 2156 (2004)] Chapman, B. E.; Fitzpatrick, R.; Craig, D. Physics of Plasmas, Vol. 11, Issue 10 https://doi.org/10.1063/1.1792614	journal	October 2004
Electron Heat Transport Measured in a Stochastic Magnetic Field Biewer, T. M.; Forest, C. B.; Anderson, J. K. Physical Review Letters, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevLett.91.045004	journal	July 2003
Characteristics of the magnetic field fluctuations in the ETA-BETA II reversed field pinch experiment Antoni, V.; Ortolani, S. Plasma Physics, Vol. 25, Issue 7 https://doi.org/10.1088/0032-1028/25/7/009	journal	July 1983
Control of 3D equilibria with resonant magnetic perturbations in MST Munaretto, S.; Chapman, B. E.; Holly, D. J. Plasma Physics and Controlled Fusion, Vol. 57, Issue 10 https://doi.org/10.1088/0741-3335/57/10/104004	journal	September 2015
First results from the far-infrared polarimeter system on the Madison Symmetric Torus reversed field pinch Lanier, N. E.; Anderson, J. K.; Forest, C. B. Review of Scientific Instruments, Vol. 70, Issue 1 https://doi.org/10.1063/1.1149490	journal	January 1999
Multipoint Thomson scattering diagnostic for the Madison Symmetric Torus reversed-field pinch Reusch, J. A.; Borchardt, M. T.; Den Hartog, D. J. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.2956742	journal	October 2008
Neoclassical Transport in the Helical Reversed-Field Pinch Gobbin, M.; Spizzo, G.; Marrelli, L. Physical Review Letters, Vol. 105, Issue 19 https://doi.org/10.1103/PhysRevLett.105.195006	journal	November 2010
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria Hirshman, S. P. Physics of Fluids, Vol. 26, Issue 12 https://doi.org/10.1063/1.864116	journal	January 1983
Three-dimensional free boundary calculations using a spectral Green's function method Hirshman, S. P.; van RIJ, W. I.; Merkel, P. Computer Physics Communications, Vol. 43, Issue 1 https://doi.org/10.1016/0010-4655(86)90058-5	journal	December 1986
Magnetic diagnostic responses for compact stellarators Hirshman, Steven P.; Lazarus, Edward A.; Hanson, James D. Physics of Plasmas, Vol. 11, Issue 2 https://doi.org/10.1063/1.1637347	journal	February 2004
The virtual-casing principle for 3D toroidal systems Lazerson, S. A. Plasma Physics and Controlled Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0741-3335/54/12/122002	journal	November 2012
The virtual-casing principle and Helmholtz’s theorem Hanson, J. D. Plasma Physics and Controlled Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/0741-3335/57/11/115006	journal	September 2015
Equilibrium reconstruction in the Madison Symmetric Torus reversed field pinch Anderson, J. K.; Forest, C. B.; Biewer, T. M. Nuclear Fusion, Vol. 44, Issue 1 https://doi.org/10.1088/0029-5515/44/1/018	journal	December 2003
Fluctuation and transport reduction in a reversed field pinch by inductive poloidal current drive Sarff, J. S.; Hokin, S. A.; Ji, H. Physical Review Letters, Vol. 72, Issue 23 https://doi.org/10.1103/PhysRevLett.72.3670	journal	June 1994
High confinement plasmas in the Madison Symmetric Torus reversed-field pinch Chapman, B. E.; Almagri, A. F.; Anderson, J. K. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1456930	journal	May 2002
High resolution soft x-ray tomography in the Madison Symmetric Torus Franz, P.; Bonomo, F.; Gadani, G. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1794845	journal	October 2004
Two-point motional Stark effect diagnostic for Madison Symmetric Torus Ko, J.; Den Hartog, D. J.; Caspary, K. J. Review of Scientific Instruments, Vol. 81, Issue 10 https://doi.org/10.1063/1.3461995	journal	October 2010

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Fast ion transport in the quasi-single helical reversed-field pinch Bonofiglo, P. J.; Anderson, J. K.; Gobbin, M. Physics of Plasmas, Vol. 26, Issue 2 https://doi.org/10.1063/1.5084059	journal	February 2019
3D equilibrium reconstruction with islands Cianciosa, M.; Hirshman, S. P.; Seal, S. K. Plasma Physics and Controlled Fusion, Vol. 60, Issue 4 https://doi.org/10.1088/1361-6587/aaaf90	journal	March 2018

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