Nonlinear two-fluid modeling of plasma response to RMPs for the ELM control in the ITER baseline
Abstract
Numerical modeling, combining the toroidal ideal MHD code GPEC and the nonlinear two-fluid MHD code TM1, was used for comprehensive studies of the plasma response to resonant magnetic perturbations (RMPs) with toroidal mode number n = 1–5 for controlling edge-localized modes (ELMs) in ITER for the standard operation scenario (15 MA Q = 10). Several issues related to RMP ELM control are investigated, including the optimization of the RMP coils configuration, the evaluation of the magnitude of density pump-out and the q95 windows of ELM suppression. GPEC calculates the magnetic response, which consistently includes the very important edge kink/peeling response to static magnetic perturbations. Furthermore, GPEC two-dimensional scans of the relative coil current phasing among the three rows of internal coils, at fixed coil current amplitude, reveal the optimal phasing for the RMP coil configuration with n = 1–5, respectively. The poloidal half wavelength of resonant mode at the edge of plasma calculated by GPEC indicates that the midplane row coils have the best resonant coupling with the plasma for n = 2, while the upper and lower row coils have the best resonant coupling with the plasma for n = 3. Based on the plasma kinetic equilibrium and the GPEC calculations of the magnetic response, TM1 was used to simulate the conditions for RMP field penetration in the ITER pedestal. TM1 shows magnetic island formation at the foot of ITER pedestal with RMP coil current threshold ranging from 4 kAt to 8 kAt with n = 2 to 4. These magnetic islands at the pedestal-foot lead to density pump-out, the magnitude of which scales as $${I}_{\text{RMP}}^{0.5}$$ and ranges from 5% to 20% at the pedestal-top when scanning the coil current from 4 to 60 kAt. The density pump-out is found to be weaker for higher n RMP. The nonlinear TM1 simulations also show field penetration at the pedestal-top, where the threshold of RMP coil current depends on the q95. The alignment of the magnetic island and the location of the pedestal-top decreases the height and width of the pedestal to suppress ELMs. Simulations by two-dimensional scans of RMP coil current and q95 reveal the accessible q95 windows of ELM suppression for both n = 3 and 4 RMPs. The predicted q95 windows of ELM suppression are very similar to the ones in currently operating tokamaks and the required RMP coil current for ELM suppression is less than 40–50 kAt, which is well within the designed capability for ITER. In addition, the simulations indicate that wide q95 windows of ELM suppression may be accessible in ITER by operating with dominant n = 4 (or n = 5) RMPs.
- Authors:
-
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Max Planck Inst. für Plasmaphysik, Garching (Germany)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1819034
- Alternate Identifier(s):
- OSTI ID: 1818861
- Report Number(s):
- LLNL-JRNL-825751
Journal ID: ISSN 0029-5515; 1039991; TRN: US2214052
- Grant/Contract Number:
- AC52-07NA27344; AC02-09CH11466; FC02-04ER54698
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 10; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; resonant magnetic perturbations; density pump-out; ELMs suppression
Citation Formats
Hu, Q. M., Park, J. -K., Logan, N. C., Yang, S. M., Grierson, B. A., Nazikian, R., and Yu, Q. Nonlinear two-fluid modeling of plasma response to RMPs for the ELM control in the ITER baseline. United States: N. p., 2021.
Web. doi:10.1088/1741-4326/ac1d85.
Hu, Q. M., Park, J. -K., Logan, N. C., Yang, S. M., Grierson, B. A., Nazikian, R., & Yu, Q. Nonlinear two-fluid modeling of plasma response to RMPs for the ELM control in the ITER baseline. United States. https://doi.org/10.1088/1741-4326/ac1d85
Hu, Q. M., Park, J. -K., Logan, N. C., Yang, S. M., Grierson, B. A., Nazikian, R., and Yu, Q. Thu .
"Nonlinear two-fluid modeling of plasma response to RMPs for the ELM control in the ITER baseline". United States. https://doi.org/10.1088/1741-4326/ac1d85. https://www.osti.gov/servlets/purl/1819034.
@article{osti_1819034,
title = {Nonlinear two-fluid modeling of plasma response to RMPs for the ELM control in the ITER baseline},
author = {Hu, Q. M. and Park, J. -K. and Logan, N. C. and Yang, S. M. and Grierson, B. A. and Nazikian, R. and Yu, Q.},
abstractNote = {Numerical modeling, combining the toroidal ideal MHD code GPEC and the nonlinear two-fluid MHD code TM1, was used for comprehensive studies of the plasma response to resonant magnetic perturbations (RMPs) with toroidal mode number n = 1–5 for controlling edge-localized modes (ELMs) in ITER for the standard operation scenario (15 MA Q = 10). Several issues related to RMP ELM control are investigated, including the optimization of the RMP coils configuration, the evaluation of the magnitude of density pump-out and the q95 windows of ELM suppression. GPEC calculates the magnetic response, which consistently includes the very important edge kink/peeling response to static magnetic perturbations. Furthermore, GPEC two-dimensional scans of the relative coil current phasing among the three rows of internal coils, at fixed coil current amplitude, reveal the optimal phasing for the RMP coil configuration with n = 1–5, respectively. The poloidal half wavelength of resonant mode at the edge of plasma calculated by GPEC indicates that the midplane row coils have the best resonant coupling with the plasma for n = 2, while the upper and lower row coils have the best resonant coupling with the plasma for n = 3. Based on the plasma kinetic equilibrium and the GPEC calculations of the magnetic response, TM1 was used to simulate the conditions for RMP field penetration in the ITER pedestal. TM1 shows magnetic island formation at the foot of ITER pedestal with RMP coil current threshold ranging from 4 kAt to 8 kAt with n = 2 to 4. These magnetic islands at the pedestal-foot lead to density pump-out, the magnitude of which scales as ${I}_{\text{RMP}}^{0.5}$ and ranges from 5% to 20% at the pedestal-top when scanning the coil current from 4 to 60 kAt. The density pump-out is found to be weaker for higher n RMP. The nonlinear TM1 simulations also show field penetration at the pedestal-top, where the threshold of RMP coil current depends on the q95. The alignment of the magnetic island and the location of the pedestal-top decreases the height and width of the pedestal to suppress ELMs. Simulations by two-dimensional scans of RMP coil current and q95 reveal the accessible q95 windows of ELM suppression for both n = 3 and 4 RMPs. The predicted q95 windows of ELM suppression are very similar to the ones in currently operating tokamaks and the required RMP coil current for ELM suppression is less than 40–50 kAt, which is well within the designed capability for ITER. In addition, the simulations indicate that wide q95 windows of ELM suppression may be accessible in ITER by operating with dominant n = 4 (or n = 5) RMPs.},
doi = {10.1088/1741-4326/ac1d85},
journal = {Nuclear Fusion},
number = 10,
volume = 61,
place = {United States},
year = {Thu Sep 02 00:00:00 EDT 2021},
month = {Thu Sep 02 00:00:00 EDT 2021}
}
Works referenced in this record:
Toroidal modeling of plasma response to RMP fields in ITER
journal, February 2017
- Li, L.; Liu, Y. Q.; Wang, N.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 4
Computation of three-dimensional tokamak and spherical torus equilibria
journal, May 2007
- Park, Jong-kyu; Boozer, Allen H.; Glasser, Alan H.
- Physics of Plasmas, Vol. 14, Issue 5
Dependence of neoclassical toroidal viscosity on the poloidal spectrum of applied nonaxisymmetric fields
journal, February 2016
- Logan, N. C.; Park, J. -K.; Paz-Soldan, C.
- Nuclear Fusion, Vol. 56, Issue 3
Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D
journal, July 2015
- King, J. D.; Strait, E. J.; Lazerson, S. A.
- Physics of Plasmas, Vol. 22, Issue 7
Physics basis for design of 3D coils in tokamaks
journal, June 2021
- Logan, N. C.; Zhu, C.; Park, J. -K.
- Nuclear Fusion, Vol. 61, Issue 7
Rules for Transition Rates in Nonequilibrium Steady States
journal, April 2004
- Evans, R. M. L.
- Physical Review Letters, Vol. 92, Issue 15
The effect of plasma shape and neutral beam mix on the rotation threshold for RMP-ELM suppression
journal, March 2019
- Paz-Soldan, C.; Nazikian, R.; Cui, L.
- Nuclear Fusion, Vol. 59, Issue 5
Experimental validation of coil phase parametrisation on ASDEX Upgrade, and extension to ITER
journal, April 2018
- Ryan, D. A.; Liu, Y. Q.; Kirk, A.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 6
Numerical modeling of linear drift-tearing mode stability
journal, March 2003
- Yu, Q.; Günter, S.; Scott, B. D.
- Physics of Plasmas, Vol. 10, Issue 3
Non-linear modeling of the plasma response to RMPs in ASDEX Upgrade
journal, September 2016
- Orain, F.; Hölzl, M.; Viezzer, E.
- Nuclear Fusion, Vol. 57, Issue 2
ELM control with RMP: plasma response models and the role of edge peeling response
journal, October 2016
- Liu, Yueqiang; Ham, C. J.; Kirk, A.
- Plasma Physics and Controlled Fusion, Vol. 58, Issue 11
Bifurcated states of a rotating tokamak plasma in the presence of a static error-field
journal, September 1998
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 5, Issue 9
The role of edge resonant magnetic perturbations in edge-localized-mode suppression and density pump-out in low-collisionality DIII-D plasmas
journal, May 2020
- Hu, Q. M.; Nazikian, R.; Grierson, B. A.
- Nuclear Fusion, Vol. 60, Issue 7
Magnetic perturbation experiments on MAST L- and H-mode plasmas using internal coils
journal, April 2011
- Kirk, A.; Liu, Yueqiang; Nardon, E.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 6
Edge localized mode suppression and plasma response using mixed toroidal harmonic resonant magnetic perturbations in DIII-D
journal, January 2019
- Gu, S.; Sun, Y.; Paz-Soldan, C.
- Nuclear Fusion, Vol. 59, Issue 2
Advances in the physics understanding of ELM suppression using resonant magnetic perturbations in DIII-D
journal, January 2015
- Wade, M. R.; Nazikian, R.; deGrassie, J. S.
- Nuclear Fusion, Vol. 55, Issue 2
Theory comparison and numerical benchmarking on neoclassical toroidal viscosity torque
journal, April 2014
- Wang, Zhirui; Park, Jong-Kyu; Liu, Yueqiang
- Physics of Plasmas, Vol. 21, Issue 4
Calculation of stochastic thermal transport due to resonant magnetic perturbations in DIII-D
journal, March 2008
- Joseph, I.; Evans, T. E.; Runov, A. M.
- Nuclear Fusion, Vol. 48, Issue 4
Increase of turbulence and transport with resonant magnetic perturbations in ELM-suppressed plasmas on DIII-D
journal, September 2013
- McKee, G. R.; Yan, Z.; Holland, C.
- Nuclear Fusion, Vol. 53, Issue 11
Transp
software, June 2018
- Breslau, Joshua; Gorelenkova, Marina; Poli, Francesca
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Main ion and impurity edge profile evolution across the L- to H-mode transition on DIII-D
journal, August 2018
- Haskey, S. R.; Grierson, B. A.; Chrystal, C.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 10
Nonlinear modeling of the scaling law for the $m/n = 3/2$ error field penetration threshold
journal, June 2020
- Hu, Q.; Logan, N. C.; Park, J. -K.
- Nuclear Fusion, Vol. 60, Issue 7
Toroidal modelling of resonant magnetic perturbations response in ASDEX-Upgrade: coupling between field pitch aligned response and kink amplification
journal, August 2015
- Ryan, D. A.; Liu, Y. Q.; Kirk, A.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 9
Changes in particle transport as a result of resonant magnetic perturbations in DIII-D
journal, May 2012
- Mordijck, S.; Doyle, E. J.; McKee, G. R.
- Physics of Plasmas, Vol. 19, Issue 5
Consistent Theory of Self-Bound Quantum Droplets with Bosonic Pairing
journal, November 2020
- Hu, Hui; Liu, Xia-Ji
- Physical Review Letters, Vol. 125, Issue 19
Experimental studies of high-confinement mode plasma response to non-axisymmetric magnetic perturbations in ASDEX Upgrade
journal, November 2016
- Suttrop, W.; Kirk, A.; Nazikian, R.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 1
Modeling q 95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak
journal, October 2020
- Fitzpatrick, R.
- Physics of Plasmas, Vol. 27, Issue 10
Tamed stability and transport using controlled non-axisymmetric fields in KSTAR
journal, March 2019
- In, Yongkyoon; Jeon, Y. M.; Park, J. -K.
- Nuclear Fusion, Vol. 59, Issue 5
Pedestal collapse by resonant magnetic perturbations
journal, March 2021
- Nazikian, R.; Hu, Q.; Ashourvan, A.
- Nuclear Fusion, Vol. 61, Issue 4
Empirical scaling of the n = 2 error field penetration threshold in tokamaks
journal, July 2020
- Logan, N. C.; Park, J. -K.; Hu, Q.
- Nuclear Fusion, Vol. 60, Issue 8
Resonant magnetic perturbation experiments on MAST using external and internal coils for ELM control
journal, February 2010
- Kirk, A.; Nardon, E.; Akers, R.
- Nuclear Fusion, Vol. 50, Issue 3
Error field correction in DIII-D Ohmic plasmas with either handedness
journal, January 2011
- Park, Jong-Kyu; Schaffer, Michael J.; La Haye, Robert J.
- Nuclear Fusion, Vol. 51, Issue 2
Magnetic polarization measurements of the multi-modal plasma response to 3D fields in the EAST tokamak
journal, May 2018
- Logan, N. C.; Cui, L.; Wang, H.
- Nuclear Fusion, Vol. 58, Issue 7
The density dependence of edge-localized-mode suppression and pump-out by resonant magnetic perturbations in the DIII-D tokamak
journal, December 2019
- Hu, Q. M.; Nazikian, R.; Grierson, B. A.
- Physics of Plasmas, Vol. 26, Issue 12
Toroidal plasma response based ELM control coil design for EU DEMO
journal, June 2018
- Zhou, Lina; Liu, Yueqiang; Wenninger, Ronald
- Nuclear Fusion, Vol. 58, Issue 7
Integrated Tokamak modeling: When physics informs engineering and research planning
journal, May 2018
- Poli, Francesca Maria
- Physics of Plasmas, Vol. 25, Issue 5
Linear and nonlinear stability of drift-tearing mode
journal, January 2010
- Yu, Q.
- Nuclear Fusion, Vol. 50, Issue 2
Progress on the application of ELM control schemes to ITER scenarios from the non-active phase to DT operation
journal, February 2014
- Loarte, A.; Huijsmans, G.; Futatani, S.
- Nuclear Fusion, Vol. 54, Issue 3
Self-consistent perturbed equilibrium with neoclassical toroidal torque in tokamaks
journal, March 2017
- Park, Jong-Kyu; Logan, Nikolas C.
- Physics of Plasmas, Vol. 24, Issue 3
Pedestal transport in H-mode plasmas for fusion gain
journal, April 2017
- Kotschenreuther, M.; Hatch, D. R.; Mahajan, S.
- Nuclear Fusion, Vol. 57, Issue 6
Sustained suppression of type-I edge-localized modes with dominantly n = 2 magnetic fields in DIII-D
journal, July 2013
- Lanctot, M. J.; Buttery, R. J.; de Grassie, J. S.
- Nuclear Fusion, Vol. 53, Issue 8
Effect of island overlap on edge localized mode suppression by resonant magnetic perturbations in DIII-D
journal, May 2008
- Fenstermacher, M. E.; Evans, T. E.; Osborne, T. H.
- Physics of Plasmas, Vol. 15, Issue 5
Plasma response to externally applied resonant magnetic perturbations
journal, June 2011
- Yu, Q.; Günter, S.
- Nuclear Fusion, Vol. 51, Issue 7
Numerical study on toroidal mode coupling and triggering of neoclassical tearing modes by sawteeth
journal, September 2019
- Yu, Q.; Günter, S.; Lackner, K.
- Nuclear Fusion, Vol. 59, Issue 10
Predicting operational windows of ELMs suppression by resonant magnetic perturbations in the DIII-D and KSTAR tokamaks
journal, May 2021
- Hu, Q. M.; Nazikian, R.; Logan, N. C.
- Physics of Plasmas, Vol. 28, Issue 5
Toroidal modeling of resonant magnetic perturbations in preparation for the initial phase of ITER operation
journal, November 2019
- Li, L.; Liu, Y. Q.; Loarte, A.
- Nuclear Fusion, Vol. 60, Issue 1
Gyrokinetic understanding of the edge pedestal transport driven by resonant magnetic perturbations in a realistic divertor geometry
journal, June 2020
- Hager, R.; Chang, C. S.; Ferraro, N. M.
- Physics of Plasmas, Vol. 27, Issue 6
Impact of resonant magnetic perturbations on nonlinearly driven modes in drift-wave turbulence
journal, May 2012
- Leconte, M.; Diamond, P. H.
- Physics of Plasmas, Vol. 19, Issue 5
Experimental conditions to suppress edge localised modes by magnetic perturbations in the ASDEX Upgrade tokamak
journal, July 2018
- Suttrop, W.; Kirk, A.; Bobkov, V.
- Nuclear Fusion, Vol. 58, Issue 9
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
3D field phase-space control in tokamak plasmas
journal, September 2018
- Park, Jong-Kyu; Jeon, YoungMu; In, Yongkyoon
- Nature Physics, Vol. 14, Issue 12
Pedestal electron collisionality and toroidal rotation during ELM-crash suppression phase under n = 1 RMP in KSTAR
journal, November 2020
- Kim, Minwoo; Lee, J.; Ko, W. H.
- Physics of Plasmas, Vol. 27, Issue 11
A new criterion for controlling edge localized modes based on a multi-mode plasma response
journal, October 2019
- Gu, S.; Wan, B.; Sun, Y.
- Nuclear Fusion, Vol. 59, Issue 12
Modelling of plasma response to resonant magnetic perturbation fields in MAST and ITER
journal, June 2011
- Liu, Yueqiang; Kirk, A.; Gribov, Y.
- Nuclear Fusion, Vol. 51, Issue 8
The EPED pedestal model and edge localized mode-suppressed regimes: Studies of quiescent H-mode and development of a model for edge localized mode suppression via resonant magnetic perturbations
journal, May 2012
- Snyder, P. B.; Osborne, T. H.; Burrell, K. H.
- Physics of Plasmas, Vol. 19, Issue 5
Theory of edge localized mode suppression by static resonant magnetic perturbations in the DIII-D tokamak
journal, April 2020
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 27, Issue 4
Modelling of heat transport in magnetised plasmas using non-aligned coordinates
journal, October 2005
- Günter, S.; Yu, Q.; Krüger, J.
- Journal of Computational Physics, Vol. 209, Issue 1
Identification of multi-modal plasma responses to applied magnetic perturbations using the plasma reluctance
journal, May 2016
- Logan, Nikolas C.; Paz-Soldan, Carlos; Park, Jong-Kyu
- Physics of Plasmas, Vol. 23, Issue 5
Shielding of external magnetic perturbations by torque in rotating tokamak plasmas
journal, August 2009
- Park, Jong-Kyu; Boozer, Allen H.; Menard, Jonathan E.
- Physics of Plasmas, Vol. 16, Issue 8
Role of singular layers in the plasma response to resonant magnetic perturbations
journal, July 2012
- Waelbroeck, F. L.; Joseph, I.; Nardon, E.
- Nuclear Fusion, Vol. 52, Issue 7
Test of the ITER-like resonant magnetic perturbation configurations for edge-localized mode crash suppression on KSTAR
journal, October 2019
- In, Yongkyoon; Loarte, A.; Lee, H. H.
- Nuclear Fusion, Vol. 59, Issue 12
Localizing resonant magnetic perturbations for edge localized mode control in KSTAR
journal, August 2020
- Yang, S. M.; Park, J. -K.; Logan, N. C.
- Nuclear Fusion, Vol. 60, Issue 9
3D vacuum magnetic field modelling of the ITER ELM control coil during standard operating scenarios
journal, August 2013
- Evans, T. E.; Orlov, D. M.; Wingen, A.
- Nuclear Fusion, Vol. 53, Issue 9
Control of Asymmetric Magnetic Perturbations in Tokamaks
journal, November 2007
- Park, Jong-kyu; Schaffer, Michael J.; Menard, Jonathan E.
- Physical Review Letters, Vol. 99, Issue 19