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Title: Magnetic control of magnetohydrodynamic instabilities in tokamaks

Abstract

Externally applied, non-axisymmetric magnetic fields form the basis of several relatively simple and direct methods to control magnetohydrodynamic (MHD) instabilities in a tokamak, and most present and planned tokamaks now include a set of non-axisymmetric control coils for application of fields with low toroidal mode numbers. Non-axisymmetric applied fields are routinely used to compensate small asymmetries ( δB/B ~ 10-3 to 10-4) of the nominally axisymmetric field, which otherwise can lead to instabilities through braking of plasma rotation and through direct stimulus of tearing modes or kink modes. This compensation may be feedback-controlled, based on the magnetic response of the plasma to the external fields. Non-axisymmetric fields are used for direct magnetic stabilization of the resistive wall mode — a kink instability with a growth rate slow enough that feedback control is practical. Saturated magnetic islands are also manipulated directly with non-axisymmetric fields, in order to unlock them from the wall and spin them to aid stabilization, or position them for suppression by localized current drive. Several recent scientific advances form the foundation of these developments in the control of instabilities. Most fundamental is the understanding that stable kink modes play a crucial role in the coupling of non-axisymmetric fieldsmore » to the plasma, determining which field configurations couple most strongly, how the coupling depends on plasma conditions, and whether external asymmetries are amplified by the plasma. A major advance for the physics of high-beta plasmas ( β = plasma pressure/magnetic field pressure) has been the understanding that drift-kinetic resonances can stabilize the resistive wall mode at pressures well above the ideal-MHD stability limit, but also that such discharges can be very sensitive to external asymmetries. The common physics of stable kink modes has brought significant unification to the topics of static error fields at low beta and resistive wall modes at high beta. Furthermore, these and other scientific advances, and their application to control of MHD instabilities, will be reviewed with emphasis on the most recent results and their applicability to ITER.« less

Authors:
 [1]
  1. General Atomics, San Diego, CA (United States)
Publication Date:
Research Org.:
General Atomics, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1354827
Alternate Identifier(s):
OSTI ID: 1228456
Grant/Contract Number:  
FC02-04ER54698
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; 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

Citation Formats

Strait, Edward J. Magnetic control of magnetohydrodynamic instabilities in tokamaks. United States: N. p., 2014. Web. doi:10.1063/1.4902126.
Strait, Edward J. Magnetic control of magnetohydrodynamic instabilities in tokamaks. United States. https://doi.org/10.1063/1.4902126
Strait, Edward J. Mon . "Magnetic control of magnetohydrodynamic instabilities in tokamaks". United States. https://doi.org/10.1063/1.4902126. https://www.osti.gov/servlets/purl/1354827.
@article{osti_1354827,
title = {Magnetic control of magnetohydrodynamic instabilities in tokamaks},
author = {Strait, Edward J.},
abstractNote = {Externally applied, non-axisymmetric magnetic fields form the basis of several relatively simple and direct methods to control magnetohydrodynamic (MHD) instabilities in a tokamak, and most present and planned tokamaks now include a set of non-axisymmetric control coils for application of fields with low toroidal mode numbers. Non-axisymmetric applied fields are routinely used to compensate small asymmetries ( δB/B ~ 10-3 to 10-4) of the nominally axisymmetric field, which otherwise can lead to instabilities through braking of plasma rotation and through direct stimulus of tearing modes or kink modes. This compensation may be feedback-controlled, based on the magnetic response of the plasma to the external fields. Non-axisymmetric fields are used for direct magnetic stabilization of the resistive wall mode — a kink instability with a growth rate slow enough that feedback control is practical. Saturated magnetic islands are also manipulated directly with non-axisymmetric fields, in order to unlock them from the wall and spin them to aid stabilization, or position them for suppression by localized current drive. Several recent scientific advances form the foundation of these developments in the control of instabilities. Most fundamental is the understanding that stable kink modes play a crucial role in the coupling of non-axisymmetric fields to the plasma, determining which field configurations couple most strongly, how the coupling depends on plasma conditions, and whether external asymmetries are amplified by the plasma. A major advance for the physics of high-beta plasmas ( β = plasma pressure/magnetic field pressure) has been the understanding that drift-kinetic resonances can stabilize the resistive wall mode at pressures well above the ideal-MHD stability limit, but also that such discharges can be very sensitive to external asymmetries. The common physics of stable kink modes has brought significant unification to the topics of static error fields at low beta and resistive wall modes at high beta. Furthermore, these and other scientific advances, and their application to control of MHD instabilities, will be reviewed with emphasis on the most recent results and their applicability to ITER.},
doi = {10.1063/1.4902126},
journal = {Physics of Plasmas},
number = 2,
volume = 22,
place = {United States},
year = {Mon Nov 24 00:00:00 EST 2014},
month = {Mon Nov 24 00:00:00 EST 2014}
}

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journal, October 1988


Disruptions, disruptivity and safer operating windows in the high- β spherical torus NSTX
journal, April 2013


Observation of an Energetic-Particle-Driven Instability in the Wall-Stabilized High- β Plasmas in the JT-60U Tokamak
journal, July 2009


Energetic particle driven instability in wall-stabilized high-β plasmas
journal, July 2010


Off-axis fishbone-like instability and excitation of resistive wall modes in JT-60U and DIII-D
journal, May 2011

  • Okabayashi, M.; Matsunaga, G.; deGrassie, J. S.
  • Physics of Plasmas, Vol. 18, Issue 5
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Effect of Collisionality on Kinetic Stability of the Resistive Wall Mode
journal, February 2011


Enhanced ITER resistive wall mode feedback performance using optimal control techniques
journal, August 2007


Model-based dynamic resistive wall mode identification and feedback control in the DIII-D tokamak
journal, June 2006

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A Kalman filter for feedback control of rotating external kink instabilities in the presence of noise
journal, May 2009

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Experiments and modelling of external kink mode control using modular internal feedback coils
journal, August 2007


Influences of multiple low-n modes on n=1 resistive wall mode identification and feedback control
journal, October 2008

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Physics basis for the advanced tokamak fusion power plant, ARIES-AT
journal, January 2006


Analysis of high β regimes for DEMO
journal, March 2011


Locking of neoclassical tearing modes by error fields and its stabilization by RF current
journal, April 2008


Feedback control of rotating resistive modes
journal, January 1988

  • Lazzaro, E.; Nave, M. F. F.
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Tokamak error fields and locked modes
journal, August 1991

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Effect of Neoclassical Toroidal Viscosity on Error-Field Penetration Thresholds in Tokamak Plasmas
journal, August 2007


Observation of Plasma Rotation Driven by Static Nonaxisymmetric Magnetic Fields in a Tokamak
journal, November 2008


Plasma rotation driven by static nonresonant magnetic fields
journal, May 2009

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  • Physics of Plasmas, Vol. 16, Issue 5
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Advances towards QH-mode viability for ELM-stable operation in ITER
journal, July 2011


Stabilization of Neoclassical Tearing Modes by an Externally Applied Static Helical Field
journal, October 2000


Control of neoclassical tearing modes in DIII–D
journal, May 2002

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  • Physics of Plasmas, Vol. 9, Issue 5
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Interactions between neoclassical tearing modes
journal, December 2000


Quasi-Single-Helicity Reversed-Field-Pinch Plasmas
journal, August 2000


Quasi-single helicity states in the reversed field pinch: Beyond the standard paradigm
journal, May 2000

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Quasi-single helicity spectra in the Madison Symmetric Torus
journal, July 2002

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Spontaneous quasi single helicity regimes in EXTRAP T2R reversed-field pinch
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Modification of sawtooth crash behaviour during large error field experiments on the DIII-D tokamak
journal, April 1994


The error field correction coils on the JET machine
journal, November 2001


In-vessel saddle coils for MHD control in ASDEX Upgrade
journal, June 2009


A first attempt at few coils and low-coverage resistive wall mode stabilization of EXTRAP T2R
journal, August 2012

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Works referencing / citing this record:

Measurement of toroidal variation in conducted heat loads in locked mode induced disruptions on DIII-D
journal, October 2018

  • Hollmann, E. M.; Commaux, N.; Eidietis, N. W.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5052450

Measurement of scrape-off-layer current dynamics during MHD activity and disruptions in HBT-EP
journal, July 2017


$\mathscr{H}_2$ optimal control techniques for resistive wall mode feedback in tokamaks
journal, February 2018


Magnetic polarization measurements of the multi-modal plasma response to 3D fields in the EAST tokamak
journal, May 2018


Optimizing multi-modal, non-axisymmetric plasma response metrics with additional coil rows on DIII-D
journal, July 2019