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Title: Controlling the size of non-axisymmetric magnetic footprints using resonant magnetic perturbations

Journal Article · · Nuclear Fusion

The structure of the non-axisymmetric heat load distribution at the divertor plates is determined not only by the toroidal but also from the poloidal spectrum of non-axisymmetric field perturbations. Whether they are intrinsic, like error fields, or they are applied through 3D coils, the non-axisymmetric fields produce complex 3D edge magnetic topologies (footprints) that alter the properties of the heat and particle flux distributions on the divertor target plates. In this manuscript, a study of the impact of applied 3D field poloidal spectrum on the footprint size and structure is done for the DIII-D tokamak using the resistive MHD code M3D-C1 coupled with the field line tracing code TRIP3D. To resolve the impact of the poloidal spectrum of the magnetic perturbation, the relative phase of the two rows of in-vessel 3D coils used to produce both a n = 2 and a n = 3 perturbation is varied, where n is the toroidal harmonic of the magnetic perturbation. This shows that the largest footprint is predicted when the relative phase of the two rows is close to zero, which is also where the resonant coupling with the plasma is maximized. These results suggest that it will be challenging to decouple the footprint size from the requisite resonant coupling for RMP–ELM control. The correlation between the measured heat load and particle flux distributions at the outer divertor plates in DIII-D and the magnetic measurements is in good agreement with the predicted dependence of the magnetic footprint size on the amplitude of the resonant component of the plasma response.

Research Organization:
General Atomics, San Diego, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
AC02-09CH11466; AC52-07NA27344; FC02-04ER54698; FG02-04ER54761; FG02-05ER54809
OSTI ID:
1856184
Journal Information:
Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 2 Vol. 62; ISSN 0029-5515
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (78)

Theory of the Ergodic Divertor journal January 1990
Control of the Edge Transport with the Ergodic Divertor journal January 1992
Plasma diffusion in an ergodic magnetic limiter journal December 1984
Ergodic magnetic limiter experiments on TEXT with a resonance journal December 1984
An ergodic divertor for tore supra journal December 1984
Edge plasma control: Particle channeling in tore supra pump limiter and ergodic divertor journal April 1989
Ergodic magnetic limiter experiments in the HYBTOK-II tokamak journal December 1989
Connexion topology and SOL physics induced by the ergodic divertor in Tore Supra journal December 1990
Regular patterns in the plasma edge with the ergodic divertor journal April 1995
Accelerating the numerical simulation of magnetic field lines in tokamaks using the GPU journal June 2011
Particle, heat, and sheath power transmission factor profiles during ELM suppression experiments on DIII-D journal June 2009
Modeling of divertor particle and heat loads during application of resonant magnetic perturbation fields for ELM control in ITER journal July 2013
The effect of neutrals in the new SAS divertor at DIII-D as modelled by SOLPS journal May 2019
Control of divertor geometry and performance of the ergodic divertor of Tore Supra journal March 2001
Ergodic edge region of large helical device journal March 2003
Transport in the plasma edge and specific connexion to the wall in the Tore Supra ergodic divertor experiments journal December 1992
Design, fabrication, installation and testing of in-vessel control coils for DIII-D journal September 2003
Field line diffusion and loss in a tokamak with an ergodic magnetic limiter journal June 2001
Modeling of stochastic magnetic flux loss from the edge of a poloidally diverted tokamak journal December 2002
High heat flux Langmuir probe array for the DIII-D divertor plates journal October 2008
Footprint structures due to resonant magnetic perturbations in DIII-D journal April 2009
Some properties of the M3D-C1 form of the three-dimensional magnetohydrodynamics equations journal September 2009
Measurement and modeling of three-dimensional equilibria in DIII-D journal May 2011
Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks journal May 2012
An upgrade of the magnetic diagnostic system of the DIII-D tokamak for non-axisymmetric measurements journal August 2014
Divertor plasma detachment journal May 2016
Spatial and temporal analysis of DIII-D 3D magnetic diagnostic data journal August 2016
Comparison of divertor heat flux splitting by 3D fields with field line tracing simulation in KSTAR journal May 2017
Dynamic divertor control using resonant mixed toroidal harmonic magnetic fields during ELM suppression in DIII-D journal May 2018
Predict-first experimental analysis using automated and integrated magnetohydrodynamic modeling journal May 2018
Modal analysis of the full poloidal structure of the plasma response to n = 2 magnetic perturbations journal July 2018
Imaging divertor strike point splitting in RMP ELM suppression experiments in the DIII-D tokamak journal October 2018
Twist mapping for the dynamics of magnetic field lines in a tokamak ergodic divertor journal January 1998
Reconstruction of current profile parameters and plasma shapes in tokamaks journal November 1985
Ergodic magnetic layer experiment journal November 1985
Effects of an ergodic magnetic limiter on the edge plasma properties of the TEXT tokamak journal November 1991
Effect of the ergodic divertor on electron thermal confinement journal November 1992
Magnetic field line diversion in Helias stellarator configurations: perspectives for divertor operation journal May 1992
Interaction of tearing modes with external structures in cylindrical geometry (plasma) journal July 1993
Effects of resonant magnetic perturbations on divertor target power loads in COMPASS-D journal October 1996
SOL studies for W7-X based on the island divertor concept journal July 1996
Interaction of stochastic boundary layer with plasma facing components journal June 1997
First modelling of the TEXTOR DED near field divertor journal April 1998
Operating space of the Dynamic Ergodic Divertor for TEXTOR-94 journal May 1999
Deposition patterns of fast ions on plasma facing components in W7-X journal October 2000
Two dimensional modelling approach to transport properties of the TEXTOR-DED laminar zone journal October 2000
Multi-mode error field correction on the DIII-D tokamak journal March 2003
Overview of magnetic structure induced by the TEXTOR-DED and the related transport journal April 2003
3D numerical transport study of the edge ergodized plasma in TEXTOR-DED journal May 2004
Runaway losses in ergodized plasmas journal January 2007
Study of in-vessel nonaxisymmetric ELM suppression coil concepts for ITER journal January 2008
Identification and analysis of transport domains in the stochastic boundary of TEXTOR-DED for different mode spectra journal January 2008
High resolution numerical studies of separatrix splitting due to non-axisymmetric perturbation in DIII-D journal April 2009
Three-dimensional edge transport simulations for DIII-D plasmas with resonant magnetic perturbations journal February 2010
Resonant features of energy and particle transport during application of resonant magnetic perturbation fields at TEXTOR and DIII-D journal March 2012
Comparison of the numerical modelling and experimental measurements of DIII-D separatrix displacements during H-modes with resonant magnetic perturbations journal August 2014
Equilibrium drives of the low and high field side n   =  2 plasma response and impact on global confinement journal April 2016
Spectroscopic observation of temperature and density modulations in the boundary layer during ergodic divertor operation in the Tore Supra tokamak journal May 1995
Transport and divertor properties of the dynamic ergodic divertor journal November 2005
Effect of 3D magnetic perturbations on divertor conditions and detachment in tokamak and stellarator journal June 2017
Divertor heat load in ASDEX Upgrade L-mode in presence of external magnetic perturbation journal July 2017
Effect of magnetic perturbations for ELM control on divertor power loads, detachment and consequences of field penetration in ASDEX Upgrade journal November 2018
Numerical investigation of plasma edge transport and limiter heat fluxes in Wendelstein 7-X startup plasmas with EMC3-EIRENE journal January 2017
Edge plasma properties with 3D magnetic perturbations in RFX-mod journal May 2017
Changes in divertor conditions in response to changing core density with RMPs journal June 2017
Heat flux pattern in detached L-modes and ELM mitigated H-modes with rotating magnetic perturbations in ASDEX Upgrade journal August 2017
Enhanced understanding of non-axisymmetric intrinsic and controlled field impacts in tokamaks journal August 2017
Control of three dimensional particle flux to divertor using rotating RMP in the EAST tokamak journal February 2018
Tamed stability and transport using controlled non-axisymmetric fields in KSTAR journal March 2019
Assessment of equilibrium field coil misalignments on the divertor footprints in NSTX-U journal June 2019
Neutral leakage, power dissipation and pedestal fueling in open vs closed divertors journal April 2020
New heat flux model for non-axisymmetric divertor infrared structures journal November 2020
The M3D- C 1 approach to simulating 3D 2-fluid magnetohydrodynamics in magnetic fusion experiments journal July 2008
Experimental signatures of homoclinic tangles in poloidally diverted tokamaks journal January 2005
Observation of a Multimode Plasma Response and its Relationship to Density Pumpout and Edge-Localized Mode Suppression journal March 2015
Pedestal Bifurcation and Resonant Field Penetration at the Threshold of Edge-Localized Mode Suppression in the DIII-D Tokamak journal March 2015
Rules for Transition Rates in Nonequilibrium Steady States journal April 2004
Integrated Modeling of Tokamak Experiments with OMFIT journal January 2013

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