DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Toroidal modeling of runaway electron loss due to 3D fields in ITER

Abstract

Mitigation of runaway electrons (REs) by three-dimensional (3D) magnetic field perturbations is numerically investigated for the ITER 15 MA baseline D–T scenario, utilizing the MARS-F code (Liu et al Phys. Plasmas 7 3681) with a drift orbit test particle tracing module. Considered are two types of 3D fields: the n = 3 (n is the toroidal mode number) resonant magnetic perturbation (RMP) utilized for the purpose of controlling the edge localized modes in ITER, and perturbations generated by the n = 1 magneto-hydrodynamic (MHD) instabilities in a post-disruption plasma. The RMP field, applied to a pre-disruption plasma, is found to be moderately effective in mitigating the RE seeds in ITER when vacuum field model is assumed. Up to ~40% loss fraction is possible at 90 kA-turn coil current. The mitigation efficiency is however substantially reduced, down to less than 5%, when the plasma response is taken into account. This is due to strong screening of the resonant magnetic field components by the plasma response resulting in much less field line stochasticity. On the other hand, the MARS-F modeling, based on the DINA-simulated post-disruption equilibria, shows that the n = 1 resistive kink instabilities develop in these plasmas, as the edgemore » safety factor qa evolves and drops below integer numbers. RE mitigation by these MHD instabilities is sensitive to the eigenmode structure. The best mitigation is achieved as qa drops below 3, when a global kink instability occurs that encompasses both internal and external components. This global instability is found to be capable of mitigating over 80% MeV-level passing RE orbits at a field perturbation |δB|/B0 that is comparable to that observed in DIII-D experiments, and full mitigation if the perturbation amplitude is doubled. The 'wetted' area on the ITER limiting surface, due to MHD instability induced RE loss, generally increases with the perturbation amplitude (together with increasing loss fraction). At the highest perturbation level assumed in this study, the wetted area reaches ~60% of the total limiting surface area. Lastly, the lost RE orbits mainly strike the outer divertor region of the limiting surface, with some fraction also hitting a wide area along the inboard side of the surface.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [2];  [4];  [4]
  1. General Atomics, San Diego, CA (United States)
  2. Max-Planck-Inst. fur Plasmaphysik, Greifswald (Germany)
  3. Columbia Univ., New York, NY (United States)
  4. National Research Center Kurchatov Inst., Moscow (Russia)
Publication Date:
Research Org.:
General Atomics, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1866605
Grant/Contract Number:  
FC02-04ER54698; SC0016452; FG02-95ER54309
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 62; Journal Issue: 6; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ITER; runaway electron; 3D fields

Citation Formats

Liu, Yueqiang, Aleynikova, K., Paz-Soldan, C., Aleynikov, P., Lukash, V., and Khayrutdinov, R. Toroidal modeling of runaway electron loss due to 3D fields in ITER. United States: N. p., 2022. Web. doi:10.1088/1741-4326/ac5d62.
Liu, Yueqiang, Aleynikova, K., Paz-Soldan, C., Aleynikov, P., Lukash, V., & Khayrutdinov, R. Toroidal modeling of runaway electron loss due to 3D fields in ITER. United States. https://doi.org/10.1088/1741-4326/ac5d62
Liu, Yueqiang, Aleynikova, K., Paz-Soldan, C., Aleynikov, P., Lukash, V., and Khayrutdinov, R. Fri . "Toroidal modeling of runaway electron loss due to 3D fields in ITER". United States. https://doi.org/10.1088/1741-4326/ac5d62. https://www.osti.gov/servlets/purl/1866605.
@article{osti_1866605,
title = {Toroidal modeling of runaway electron loss due to 3D fields in ITER},
author = {Liu, Yueqiang and Aleynikova, K. and Paz-Soldan, C. and Aleynikov, P. and Lukash, V. and Khayrutdinov, R.},
abstractNote = {Mitigation of runaway electrons (REs) by three-dimensional (3D) magnetic field perturbations is numerically investigated for the ITER 15 MA baseline D–T scenario, utilizing the MARS-F code (Liu et al Phys. Plasmas 7 3681) with a drift orbit test particle tracing module. Considered are two types of 3D fields: the n = 3 (n is the toroidal mode number) resonant magnetic perturbation (RMP) utilized for the purpose of controlling the edge localized modes in ITER, and perturbations generated by the n = 1 magneto-hydrodynamic (MHD) instabilities in a post-disruption plasma. The RMP field, applied to a pre-disruption plasma, is found to be moderately effective in mitigating the RE seeds in ITER when vacuum field model is assumed. Up to ~40% loss fraction is possible at 90 kA-turn coil current. The mitigation efficiency is however substantially reduced, down to less than 5%, when the plasma response is taken into account. This is due to strong screening of the resonant magnetic field components by the plasma response resulting in much less field line stochasticity. On the other hand, the MARS-F modeling, based on the DINA-simulated post-disruption equilibria, shows that the n = 1 resistive kink instabilities develop in these plasmas, as the edge safety factor qa evolves and drops below integer numbers. RE mitigation by these MHD instabilities is sensitive to the eigenmode structure. The best mitigation is achieved as qa drops below 3, when a global kink instability occurs that encompasses both internal and external components. This global instability is found to be capable of mitigating over 80% MeV-level passing RE orbits at a field perturbation |δB|/B0 that is comparable to that observed in DIII-D experiments, and full mitigation if the perturbation amplitude is doubled. The 'wetted' area on the ITER limiting surface, due to MHD instability induced RE loss, generally increases with the perturbation amplitude (together with increasing loss fraction). At the highest perturbation level assumed in this study, the wetted area reaches ~60% of the total limiting surface area. Lastly, the lost RE orbits mainly strike the outer divertor region of the limiting surface, with some fraction also hitting a wide area along the inboard side of the surface.},
doi = {10.1088/1741-4326/ac5d62},
journal = {Nuclear Fusion},
number = 6,
volume = 62,
place = {United States},
year = {Fri Apr 08 00:00:00 EDT 2022},
month = {Fri Apr 08 00:00:00 EDT 2022}
}

Works referenced in this record:

Interaction between runaway electrons and internal kink in a post-disruption plasma
journal, October 2021


Runaway electrons and ITER
journal, March 2017


ELM control with RMP: plasma response models and the role of edge peeling response
journal, October 2016


Conservative magnetic moment of runaway electrons and collisionless pitch-angle scattering
journal, August 2018


Relativistic limitations on runaway electrons
journal, June 1975


Liquid jets for fast plasma termination in tokamaks
journal, July 1997


Measurement of runaway electron energy distribution function during high-Z gas injection into runaway electron plateaus in DIII-Da)
journal, May 2015

  • Hollmann, E. M.; Parks, P. B.; Commaux, N.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921149

Hot tail runaway electron generation in tokamak disruptions
journal, July 2008

  • Smith, H. M.; Verwichte, E.
  • Physics of Plasmas, Vol. 15, Issue 7
  • DOI: 10.1063/1.2949692

Runaway electron confinement modelling for rapid shutdown scenarios in DIII-D, Alcator C-Mod and ITER
journal, May 2011


Theory of runaway electrons in ITER: Equations, important parameters, and implications for mitigation
journal, March 2015


Full toroidal plasma response to externally applied nonaxisymmetric magnetic fields
journal, December 2010

  • Liu, Yueqiang; Kirk, A.; Nardon, E.
  • Physics of Plasmas, Vol. 17, Issue 12
  • DOI: 10.1063/1.3526677

A backward Monte-Carlo method for time-dependent runaway electron simulations
journal, September 2017

  • Zhang, Guannan; del-Castillo-Negrete, Diego
  • Physics of Plasmas, Vol. 24, Issue 9
  • DOI: 10.1063/1.4986019

Passive deconfinement of runaway electrons using an in-vessel helical coil
journal, September 2021


Internal Kink Modes in Toroidal Plasmas with Circular Cross Sections
journal, December 1975


Toroidal modeling of runaway electron loss due to 3-D fields in DIII-D and COMPASS
journal, October 2020

  • Liu, Yueqiang; Paz-Soldan, C.; Macusova, E.
  • Physics of Plasmas, Vol. 27, Issue 10
  • DOI: 10.1063/5.0021154

Space dependent, full orbit effects on runaway electron dynamics in tokamak plasmas
journal, April 2017

  • Carbajal, L.; del-Castillo-Negrete, D.; Spong, D.
  • Physics of Plasmas, Vol. 24, Issue 4
  • DOI: 10.1063/1.4981209

Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007


Recent DIII-D advances in runaway electron measurement and model validation
journal, May 2019


Simulation of runaway electrons, transport affected by J-TEXT resonant magnetic perturbation
journal, July 2016


A novel path to runaway electron mitigation via deuterium injection and current-driven MHD instability
journal, October 2021


Simulation of MHD instabilities with fluid runaway electron model in M3D-C1
journal, May 2020


Destabilization of magnetosonic-whistler waves by a relativistic runaway beam
journal, June 2006

  • Fülöp, T.; Pokol, G.; Helander, P.
  • Physics of Plasmas, Vol. 13, Issue 6
  • DOI: 10.1063/1.2208327

Runaway electron losses caused by resonant magnetic perturbations in ITER
journal, July 2011


Self-consistent simulation of resistive kink instabilities with runaway electrons
journal, November 2021

  • Liu, Chang; Zhao, Chen; Jardin, Stephen C.
  • Plasma Physics and Controlled Fusion, Vol. 63, Issue 12
  • DOI: 10.1088/1361-6587/ac2af8

Studies of Plasma Equilibrium and Transport in a Tokamak Fusion Device with the Inverse-Variable Technique
journal, December 1993

  • Khayrutdinov, R. R.; Lukash, V. E.
  • Journal of Computational Physics, Vol. 109, Issue 2
  • DOI: 10.1006/jcph.1993.1211

Demonstration of Safe Termination of Megaampere Relativistic Electron Beams in Tokamaks
journal, April 2021


Runaway electron mitigation by 3D fields in the ASDEX-Upgrade experiment
journal, November 2017


Generation of runaway electrons during the thermal quench in tokamaks
journal, February 2017


Modelling of plasma response to resonant magnetic perturbation fields in MAST and ITER
journal, June 2011


Test particles dynamics in the JOREK 3D non-linear MHD code and application to electron transport in a disruption simulation
journal, December 2017


Kink instabilities of the post-disruption runaway electron beam at low safety factor
journal, March 2019

  • Paz-Soldan, C.; Eidietis, N. W.; Liu, Y. Q.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 5
  • DOI: 10.1088/1361-6587/aafd15

Resistive stability of a plasma with runaway electrons
journal, December 2007

  • Helander, P.; Grasso, D.; Hastie, R. J.
  • Physics of Plasmas, Vol. 14, Issue 12
  • DOI: 10.1063/1.2817016

Magnetohydrodynamic simulations of runaway electron beam termination in JET
journal, January 2021

  • Bandaru, V.; Hoelzl, M.; Reux, C.
  • Plasma Physics and Controlled Fusion, Vol. 63, Issue 3
  • DOI: 10.1088/1361-6587/abdbcf

MARS-F modeling of post-disruption runaway beam loss by magnetohydrodynamic instabilities in DIII-D
journal, October 2019


Runaway electron beam dynamics at low plasma density in DIII-D: energy distribution, current profile, and internal instability
journal, January 2020


The role of 3D fields on runaway electron mitigation in ASDEX Upgrade: a numerical test particle approach
journal, May 2021


Runaway beam studies during disruptions at JET-ILW
journal, August 2015


Effect of runaway electrons on tearing mode stability: with or without favorable curvature stabilization
journal, August 2021


Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model
journal, September 2000

  • Liu, Y. Q.; Bondeson, A.; Fransson, C. M.
  • Physics of Plasmas, Vol. 7, Issue 9
  • DOI: 10.1063/1.1287744

Runaway electron experiments at COMPASS in support of the EUROfusion ITER physics research
journal, November 2018

  • Mlynar, J.; Ficker, O.; Macusova, E.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aae04a