skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4923017· OSTI ID:1295127
 [1];  [2]; ORCiD logo [3];  [2];  [3];  [4];  [3];  [5];  [2];  [6];  [3];  [3];  [2];  [7]; ORCiD logo [2]
  1. Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); General Atomics, San Diego, CA (United States)
  2. General Atomics, San Diego, CA (United States)
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  4. Australian National Univ., Canberra, ACT (Australia)
  5. Columbia Univ., New York, NY (United States)
  6. Culham Science Centre, Abingdon (United Kingdom). Plasma Research Lab.
  7. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

DIII-D experiments using new detailed magnetic diagnostics show that linear, ideal magnetohydrodynamics(MHD) theory quantitatively describes the magnetic structure (as measured externally) of three-dimensional (3D) equilibria resulting from applied fields with toroidalmode number n = 1, while a nonlinear solution to ideal MHD force balance, using the VMEC code, requires the inclusion of n ≥ 1 to achieve similar agreement. These tests are carried out near ITER baseline parameters, providing a validated basis on which to exploit 3D fields for plasma control development. Scans of the applied poloidal spectrum and edge safety factor confirm that low-pressure, n = 1 non-axisymmetric tokamak equilibria are determined by a single, dominant, stable eigenmode. However, at higher beta, near the ideal kinkmode stability limit in the absence of a conducting wall, the qualitative features of the 3D structure are observed to vary in a way that is not captured by ideal MHD.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); General Atomics, San Diego, CA (United States). DIII-D National Fusion Facility (DIII-D)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
Grant/Contract Number:
AC05-00OR22725; FC02-04ER54698; AC05-06OR23100; AC02-09CH11466; FG02-04ER54761; AC05-00OR22725.; AC05-00OR23100; FC02-04ER5469
OSTI ID:
1295127
Alternate ID(s):
OSTI ID: 1228332; OSTI ID: 1254754; OSTI ID: 1459669
Journal Information:
Physics of Plasmas, Vol. 22, Issue 7; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 38 works
Citation information provided by
Web of Science

References (59)

Computation of three-dimensional tokamak and spherical torus equilibria journal May 2007
Control of Asymmetric Magnetic Perturbations in Tokamaks journal November 2007
Equilibrium analysis of current profiles in tokamaks journal June 1990
A magnetic diagnostic code for 3D fusion equilibria journal January 2013
Measurement and modeling of three-dimensional equilibria in DIII-D journal May 2011
Energy principle in the Boozer model journal November 2005
Tokamak magnetic islands in the presence of nonaxisymmetric perturbations journal September 1991
Experimental imaging of separatrix splitting on DIII-D journal November 2012
Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime journal July 1999
Response to “Comment on ‘Energy principle in the Boozer model’ ” [Phys. Plasmas 13, 024703 (2006)] journal February 2006
Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks journal May 2012
Perturbed plasma equilibria journal March 1999
Comment on “Energy principle in the Boozer model” [Phys. Plasmas 12, 112504 (2005)] journal February 2006
An upgrade of the magnetic diagnostic system of the DIII-D tokamak for non-axisymmetric measurements journal August 2014
Locked modes in DIII-D and a method for prevention of the low density mode journal May 1991
Effect of a static external magnetic perturbation on resistive mode stability in tokamaks journal October 1994
The spectral basis of optimal error field correction on DIII-D journal April 2014
Resistive instabilities in a tokamak journal January 1976
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes journal May 2002
Active Stabilization of the Resistive-Wall Mode in High-Beta, Low-Rotation Plasmas journal July 2006
Magnetic diagnostic system of the DIII-D tokamak journal February 2006
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria journal January 1983
Three-dimensional distortions of the tokamak plasma boundary: boundary displacements in the presence of resonant magnetic perturbations journal May 2014
Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria journal March 2010
Full toroidal plasma response to externally applied nonaxisymmetric magnetic fields journal December 2010
Experiments and modelling of external kink mode control using modular internal feedback coils journal August 2007
Effects of resistivity and rotation on the linear plasma response to non-axisymmetric magnetic perturbations on DIII-D journal January 2015
Effect of resonant and non-resonant magnetic braking on error field tolerance in high beta plasmas journal September 2009
Toroidal self-consistent modeling of drift kinetic effects on the resistive wall mode journal November 2008
Regime of Improved Confinement and High Beta in Neutral-Beam-Heated Divertor Discharges of the ASDEX Tokamak journal November 1982
Pedestal Bifurcation and Resonant Field Penetration at the Threshold of Edge-Localized Mode Suppression in the DIII-D Tokamak journal March 2015
Rotational stabilization in the Boozer model journal February 2007
Electron thermal confinement studies with applied resonant fields on TEXT journal April 1989
Comparisons of linear and nonlinear plasma response models for non-axisymmetric perturbations journal May 2013
Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation journal August 2007
Control of the resistive wall mode with internal coils in the DIII–D tokamak journal November 2005
A design retrospective of the DIII-D tokamak journal May 2002
Resistive instabilities in general toroidal plasma configurations journal January 1975
Wall Stabilization of High Beta Tokamak Discharges in DIII-D journal March 1995
Plasma response models for non-axisymmetric perturbations journal May 2012
Measurement of 3D plasma response to external magnetic perturbations in the presence of a rotating external kink journal October 2013
Measurement of the Resistive-Wall-Mode Stability in a Rotating Plasma Using Active MHD Spectroscopy journal September 2004
Analyses of substantially different plasma current densities and safety factors reconstructed from magnetic diagnostics data journal September 2011
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas journal May 2006
Motional Stark effect polarimetry for a current profile diagnostic in DIII‐D journal November 1990
Measurement of resistive wall mode stability in rotating high-β DIII-D plasmas journal April 2005
Observation of Plasma Toroidal-Momentum Dissipation by Neoclassical Toroidal Viscosity journal June 2006
Error Field Amplification and Rotation Damping in Tokamak Plasmas journal May 2001
Theory of plasma transport in toroidal confinement systems journal April 1976
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary journal June 2004
Measurement of plasma boundary displacement by n = 2 magnetic perturbations using imaging beam emission spectroscopy journal November 2012
Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model journal September 2000
Tokamak error fields and locked modes journal August 1991
CORSICA: A comprehensive simulation of toroidal magnetic-fusion devices. Final report to the LDRD Program report March 1997
L'inflation comme regulation journal July 1962
Tokamak magnetic islands in the presence of nonaxisymmetric perturbations report July 1991
Tokamak error fields and locked modes report May 1991
Effect of a static external magnetic perturbation on resistive mode stability in tokamaks report March 1994
Perturbed plasma equilibria journal October 2006

Cited By (12)

Modal analysis of the full poloidal structure of the plasma response to n = 2 magnetic perturbations journal July 2018
Screening of resonant magnetic perturbation fields by poloidally varying toroidal plasma rotation journal August 2018
Effect of plasma response on the fast ion losses due to ELM control coils in ITER journal March 2016
Equilibrium drives of the low and high field side n   =  2 plasma response and impact on global confinement journal April 2016
Modelling of 3D fields due to ferritic inserts and test blanket modules in toroidal geometry at ITER journal April 2016
ELM control with RMP: plasma response models and the role of edge peeling response journal October 2016
Dynamics of ideal modes and subsequent ELM crashes in 3D tokamak geometry from external magnetic perturbations journal November 2018
Numerical survey of predicted peeling response in edge localised mode mitigated and suppressed phases on ASDEX upgrade journal August 2019
Effects of the applied magnetic fields with various toroidal phase differences on the neoclassical toroidal viscosity in JT-60SA journal October 2018
Magnetic polarization measurements of the multi-modal plasma response to 3D fields in the EAST tokamak journal May 2018
Resistive versus ideal plasma response to RMP fields in DIII-D: roles of q 95 and X-point geometry journal June 2019
ELM control with RMP: plasma response models and the role of edge peeling response text January 2016