Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D
Abstract
A technique for tokamak equilibrium reconstructions is used for multiple DIII-D discharges, including L-mode and H-mode cases when weakly 3-D elds ( B=B 10-3) are applied. The technique couples diagnostics to the non-linear, ideal MHD equilibrium solver VMEC, using the V3FIT code, to nd the most likely 3-D equilibrium based on a suite of measurements. It is demonstrated that V3FIT can be used to nd non-linear 3-D equilibria that are consistent with experimental measurements of the plasma response to very weak 3-D perturbations, as well as with 2-D pro le measurements. Observations at DIII-D show that plasma rotation larger than 20 krad/s changes the relative phase between the applied 3-D elds and the measured plasma response. Discharges with low averaged rotation (10 krad/s) and peaked rotation pro les (40 krad/s) are reconstructed. Similarities and di erences to forward modeled VMEC equilibria, which do not include rotational e ects, are shown. Toroidal phase shifts of up to 30 are found between the measured and forward modeled plasma responses at the highest values of rotation. The plasma response phases of reconstructed equilibra on the other hand match the measured ones. This is the rst time V3FIT has been used to reconstruct weaklymore »
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Columbia Univ., New York, NY (United States)
- General Atomics, San Diego, CA (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program. ORNL Director's R&D; USDOE Office of Science (SC)
- Contributing Org.:
- Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA Columbia University, New York, New York, USA Princeton Plasma Physics Laboratory, Princeton, New Jersey, USA
- OSTI Identifier:
- 1331096
- Alternate Identifier(s):
- OSTI ID: 1329078; OSTI ID: 1335700; OSTI ID: 1372069
- Grant/Contract Number:
- AC05-00OR22725; FG02-04ER54761; FC02-04ER54698; AC02-09CH11466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 57; Journal Issue: 1; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; VMEC; DIII-D; equilibrium reconstruction; plasma response
Citation Formats
Wingen, Andreas, Wilcox, Robert S., Cianciosa, Mark R., Seal, Sudip K., Unterberg, Ezekial A., Hanson, Jeremy M., Hirshman, Steven Paul, Lao, L. L., Logan, N. C., Paz-Soldan, Carlos, and Shafer, Morgan W. Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D. United States: N. p., 2016.
Web. doi:10.1088/0029-5515/57/1/016013.
Wingen, Andreas, Wilcox, Robert S., Cianciosa, Mark R., Seal, Sudip K., Unterberg, Ezekial A., Hanson, Jeremy M., Hirshman, Steven Paul, Lao, L. L., Logan, N. C., Paz-Soldan, Carlos, & Shafer, Morgan W. Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D. United States. https://doi.org/10.1088/0029-5515/57/1/016013
Wingen, Andreas, Wilcox, Robert S., Cianciosa, Mark R., Seal, Sudip K., Unterberg, Ezekial A., Hanson, Jeremy M., Hirshman, Steven Paul, Lao, L. L., Logan, N. C., Paz-Soldan, Carlos, and Shafer, Morgan W. Thu .
"Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D". United States. https://doi.org/10.1088/0029-5515/57/1/016013. https://www.osti.gov/servlets/purl/1331096.
@article{osti_1331096,
title = {Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D},
author = {Wingen, Andreas and Wilcox, Robert S. and Cianciosa, Mark R. and Seal, Sudip K. and Unterberg, Ezekial A. and Hanson, Jeremy M. and Hirshman, Steven Paul and Lao, L. L. and Logan, N. C. and Paz-Soldan, Carlos and Shafer, Morgan W.},
abstractNote = {A technique for tokamak equilibrium reconstructions is used for multiple DIII-D discharges, including L-mode and H-mode cases when weakly 3-D elds ( B=B 10-3) are applied. The technique couples diagnostics to the non-linear, ideal MHD equilibrium solver VMEC, using the V3FIT code, to nd the most likely 3-D equilibrium based on a suite of measurements. It is demonstrated that V3FIT can be used to nd non-linear 3-D equilibria that are consistent with experimental measurements of the plasma response to very weak 3-D perturbations, as well as with 2-D pro le measurements. Observations at DIII-D show that plasma rotation larger than 20 krad/s changes the relative phase between the applied 3-D elds and the measured plasma response. Discharges with low averaged rotation (10 krad/s) and peaked rotation pro les (40 krad/s) are reconstructed. Similarities and di erences to forward modeled VMEC equilibria, which do not include rotational e ects, are shown. Toroidal phase shifts of up to 30 are found between the measured and forward modeled plasma responses at the highest values of rotation. The plasma response phases of reconstructed equilibra on the other hand match the measured ones. This is the rst time V3FIT has been used to reconstruct weakly 3-D tokamak equilibria.},
doi = {10.1088/0029-5515/57/1/016013},
journal = {Nuclear Fusion},
number = 1,
volume = 57,
place = {United States},
year = {Thu Oct 13 00:00:00 EDT 2016},
month = {Thu Oct 13 00:00:00 EDT 2016}
}
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Works referenced in this record:
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary
journal, June 2004
- Evans, T. E.; Moyer, R. A.; Thomas, P. R.
- Physical Review Letters, Vol. 92, Issue 23
Active Control of Type-I Edge-Localized Modes with Perturbation Fields in the JET Tokamak
journal, June 2007
- Liang, Y.; Koslowski, H. R.; Thomas, P. R.
- Physical Review Letters, Vol. 98, Issue 26
First Observation of Edge Localized Modes Mitigation with Resonant and Nonresonant Magnetic Perturbations in ASDEX Upgrade
journal, June 2011
- Suttrop, W.; Eich, T.; Fuchs, J. C.
- Physical Review Letters, Vol. 106, Issue 22
Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria
journal, March 2010
- Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M.
- Physics of Plasmas, Vol. 17, Issue 3
Observation of Plasma Rotation Driven by Static Nonaxisymmetric Magnetic Fields in a Tokamak
journal, November 2008
- Garofalo, A. M.; Burrell, K. H.; DeBoo, J. C.
- Physical Review Letters, Vol. 101, Issue 19
Observation of Lobes near the Point in Resonant Magnetic Perturbation Experiments on MAST
journal, June 2012
- Kirk, A.; Harrison, J.; Liu, Yueqiang
- Physical Review Letters, Vol. 108, Issue 25
Bifurcated helical core equilibrium states in tokamaks
journal, June 2013
- Cooper, W. A.; Chapman, I. T.; Schmitz, O.
- Nuclear Fusion, Vol. 53, Issue 7
V3FIT: a code for three-dimensional equilibrium reconstruction
journal, July 2009
- Hanson, James D.; Hirshman, Steven P.; Knowlton, Stephen F.
- Nuclear Fusion, Vol. 49, Issue 7
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983
- Hirshman, S. P.
- Physics of Fluids, Vol. 26, Issue 12
Non-axisymmetric equilibrium reconstruction for stellarators, reversed field pinches and tokamaks
journal, July 2013
- Hanson, J. D.; Anderson, D. T.; Cianciosa, M.
- Nuclear Fusion, Vol. 53, Issue 8
A design retrospective of the DIII-D tokamak
journal, May 2002
- Luxon, J. L.
- Nuclear Fusion, Vol. 42, Issue 5
Connection between plasma response and resonant magnetic perturbation (RMP) edge localized mode (ELM) suppression in DIII-D
journal, September 2015
- Wingen, A.; Ferraro, N. M.; Shafer, M. W.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 10
Evidence for the Importance of Trapped Particle Resonances for Resistive Wall Mode Stability in High Beta Tokamak Plasmas
journal, May 2011
- Reimerdes, H.; Berkery, J. W.; Lanctot, M. J.
- Physical Review Letters, Vol. 106, Issue 21
Modeling of fast neutral-beam-generated ions and rotation effects on RWM stability in DIII-D plasmas
journal, September 2015
- Turco, F.; Turnbull, A. D.; Hanson, J. M.
- Nuclear Fusion, Vol. 55, Issue 11
Decoupled recovery of energy and momentum with correction of n = 2 error fields
journal, July 2015
- Paz-Soldan, C.; Logan, N. C.; Lanctot, M. J.
- Nuclear Fusion, Vol. 55, Issue 8
An upgrade of the magnetic diagnostic system of the DIII-D tokamak for non-axisymmetric measurements
journal, August 2014
- King, J. D.; Strait, E. J.; Boivin, R. L.
- Review of Scientific Instruments, Vol. 85, Issue 8
Reconstruction of current profile parameters and plasma shapes in tokamaks
journal, November 1985
- Lao, L. L.; St. John, H.; Stambaugh, R. D.
- Nuclear Fusion, Vol. 25, Issue 11
Equilibrium analysis of current profiles in tokamaks
journal, June 1990
- Lao, L. L.; Ferron, J. R.; Groebner, R. J.
- Nuclear Fusion, Vol. 30, Issue 6
Works referencing / citing this record:
3D equilibrium reconstruction with islands
journal, March 2018
- Cianciosa, M.; Hirshman, S. P.; Seal, S. K.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 4
Use of reconstructed 3D equilibria to determine onset conditions of helical cores in tokamaks for extrapolation to ITER
journal, January 2018
- Wingen, A.; Wilcox, R. S.; Seal, S. K.
- Nuclear Fusion, Vol. 58, Issue 3
Nonlinear modeling of the effect of n = 2 resonant magnetic field perturbation on peeling-ballooning modes in KSTAR
journal, January 2020
- Kim, S. K.; Pamela, S.; Kwon, O.
- Nuclear Fusion, Vol. 60, Issue 2