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

Title: Further modeling of q95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak

Abstract

An improved resonant plasma response model that more accurately captures the physics of the interaction between a tokamak plasma and a resonant magnetic perturbation (RMP) is developed. The model interpolates between the linear and the nonlinear response regimes and takes into account the fact that the slip-frequency is non-zero in the nonlinear regime. The improved model is incorporated into the extended perturbed equilibrium code (EPEC) toroidal asymptotic matching code. The modified EPEC code is used to investigate RMP-induced edge-localized-mode (ELM) suppression in DIII-D H-mode discharge #145380. Somewhat surprisingly, allowing for a finite slip-frequency (i.e., relaxing the so-called no-slip constraint) is found to only slightly facilitate the locking of driven magnetic island chains to the RMP, and, hence, to only slightly facilitate RMP-induced ELM suppression. This is true despite the fact that the nature of non-locked island solutions is radically different when the no-slip constraint is imposed compared to when it is relaxed (in the first case, the widths of the island chains driven at the rational surfaces pulsate, and in the second case, they remain steady). The previously obtained conclusion that the response of a typical H-mode tokamak plasma to an RMP cannot be accurately modeled by linear theory ismore » confirmed. Here, the previously obtained conclusion that the best agreement between theory and observations is achieved by assuming that the natural frequencies of tearing modes, in the absence of the RMP, are determined by the local equilibrium E × B velocity is also confirmed.« less

Authors:
ORCiD logo [1]
  1. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1785323
Alternate Identifier(s):
OSTI ID: 1970539
Grant/Contract Number:  
FG02-04ER54742; FC02-04ER54698
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 28; Journal Issue: 2; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Magnetic reconnection; Magnetohydrodynamics; Plasma flows; Magnetic fields; Torque; Plasma confinement; Fusion energy; Control theory; Tokamaks

Citation Formats

Fitzpatrick, R. Further modeling of q95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak. United States: N. p., 2021. Web. doi:10.1063/5.0035874.
Fitzpatrick, R. Further modeling of q95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak. United States. https://doi.org/10.1063/5.0035874
Fitzpatrick, R. Tue . "Further modeling of q95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak". United States. https://doi.org/10.1063/5.0035874. https://www.osti.gov/servlets/purl/1785323.
@article{osti_1785323,
title = {Further modeling of q95 windows for the suppression of edge localized modes by resonant magnetic perturbations in the DIII-D tokamak},
author = {Fitzpatrick, R.},
abstractNote = {An improved resonant plasma response model that more accurately captures the physics of the interaction between a tokamak plasma and a resonant magnetic perturbation (RMP) is developed. The model interpolates between the linear and the nonlinear response regimes and takes into account the fact that the slip-frequency is non-zero in the nonlinear regime. The improved model is incorporated into the extended perturbed equilibrium code (EPEC) toroidal asymptotic matching code. The modified EPEC code is used to investigate RMP-induced edge-localized-mode (ELM) suppression in DIII-D H-mode discharge #145380. Somewhat surprisingly, allowing for a finite slip-frequency (i.e., relaxing the so-called no-slip constraint) is found to only slightly facilitate the locking of driven magnetic island chains to the RMP, and, hence, to only slightly facilitate RMP-induced ELM suppression. This is true despite the fact that the nature of non-locked island solutions is radically different when the no-slip constraint is imposed compared to when it is relaxed (in the first case, the widths of the island chains driven at the rational surfaces pulsate, and in the second case, they remain steady). The previously obtained conclusion that the response of a typical H-mode tokamak plasma to an RMP cannot be accurately modeled by linear theory is confirmed. Here, the previously obtained conclusion that the best agreement between theory and observations is achieved by assuming that the natural frequencies of tearing modes, in the absence of the RMP, are determined by the local equilibrium E × B velocity is also confirmed.},
doi = {10.1063/5.0035874},
journal = {Physics of Plasmas},
number = 2,
volume = 28,
place = {United States},
year = {Tue Feb 02 00:00:00 EST 2021},
month = {Tue Feb 02 00:00:00 EST 2021}
}

Works referenced in this record:

Suppression of Edge Localized Modes in High-Confinement KSTAR Plasmas by Nonaxisymmetric Magnetic Perturbations
journal, July 2012


Nonlinear Transition from Mitigation to Suppression of the Edge Localized Mode with Resonant Magnetic Perturbations in the EAST Tokamak
journal, September 2016


An innovative method for ideal and resistive MHD stability analysis of tokamaks
journal, August 2001


Control of Asymmetric Magnetic Perturbations in Tokamaks
journal, November 2007


Stability of coupled tearing modes in tokamaks
journal, October 1993


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
  • DOI: 10.1063/1.5134767

Error field impact on mode locking and divertor heat flux in NSTX-U
journal, June 2019


Screening of resonant magnetic perturbations by flows in tokamaks
journal, May 2012


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
  • DOI: 10.1063/1.4977898

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
  • DOI: 10.1063/1.873000

Nonlinear growth of the tearing mode
journal, January 1973


Linear and nonlinear response of a rotating tokamak plasma to a resonant error-field
journal, September 2014


Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks
journal, May 2012


Multi-mode error field correction on the DIII-D tokamak
journal, March 2003


Resistive instabilities in a diffuse linear pinch
journal, June 1966


Magnetic reconnection and m = 1 oscillations in current carrying plasmas
journal, June 1978


Observation of tearing mode deceleration and locking due to eddy currents induced in a conducting shell
journal, May 2004

  • Chapman, B. E.; Fitzpatrick, R.; Craig, D.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1689353

Computation of resistive instabilities by matched asymptotic expansions
journal, November 2016

  • Glasser, A. H.; Wang, Z. R.; Park, J. -K.
  • Physics of Plasmas, Vol. 23, Issue 11
  • DOI: 10.1063/1.4967862

MHD-mode locking by controlled halo-current in the T-10 tokamak
journal, July 2003


Magnetohydrodynamic stability of tokamak edge plasmas
journal, July 1998

  • Connor, J. W.; Hastie, R. J.; Wilson, H. R.
  • Physics of Plasmas, Vol. 5, Issue 7
  • DOI: 10.1063/1.872956

Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition
journal, February 2020

  • Huang, Wenlong; Zhu, Ping
  • Physics of Plasmas, Vol. 27, Issue 2
  • DOI: 10.1063/1.5129085

Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation
journal, November 2018


Kinetic estimate of the shielding of resonant magnetic field perturbations by the plasma in DIII-D
journal, January 2008


A mechanism for tearing onset near ideal stability boundaries
journal, May 2003

  • Brennan, D. P.; La Haye, R. J.; Turnbull, A. D.
  • Physics of Plasmas, Vol. 10, Issue 5
  • DOI: 10.1063/1.1555830

Magnetic island and plasma rotation under external resonant magnetic perturbation in the T-10 tokamak
journal, May 2015

  • Eliseev, L. G.; Ivanov, N. V.; Kakurin, A. M.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921646

Theory of edge localized mode suppression by static resonant magnetic perturbations in the DIII-D tokamak
journal, April 2020


First Observation of Edge Localized Modes Mitigation with Resonant and Nonresonant Magnetic Perturbations in ASDEX Upgrade
journal, June 2011


Active Control of Type-I Edge-Localized Modes with n = 1 Perturbation Fields in the JET Tokamak
journal, June 2007


A numerical study of forced magnetic reconnection in the viscous Taylor problem
journal, June 2003


Interaction of tearing modes with external structures in cylindrical geometry (plasma)
journal, July 1993


Non-linear magnetohydrodynamic modeling of plasma response to resonant magnetic perturbations
journal, October 2013

  • Orain, F.; Bécoulet, M.; Dif-Pradalier, G.
  • Physics of Plasmas, Vol. 20, Issue 10
  • DOI: 10.1063/1.4824820

Understanding edge-localized mode mitigation by resonant magnetic perturbations on MAST
journal, March 2013


Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

  • Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
  • Physics of Fluids, Vol. 6, Issue 4
  • DOI: 10.1063/1.1706761

Non-ideal stability: variational method for the determination of the outer-region matching data
journal, June 1991


Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary
journal, June 2004