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Title: Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations

Abstract

A self-regulating magnetic flux pumping mechanism in tokamaks that maintains the core safety factor at q≈1, thus preventing sawteeth, is analyzed in nonlinear 3D magnetohydrodynamic simulations using the M3D-C1 code. In these simulations, the most important mechanism responsible for the flux pumping is that a saturated (m=1,n=1) quasi-interchange instability generates an effective negative loop voltage in the plasma center via a dynamo effect. It is shown that sawtoothing is prevented in the simulations if β is sufficiently high to provide the necessary drive for the (m=1,n=1) instability that generates the dynamo loop voltage. In conclusion, the necessary amount of dynamo loop voltage is determined by the tendency of the current density profile to centrally peak which, in our simulations, is controlled by the peakedness of the applied heat source profile.

Authors:
 [1]; ORCiD logo [2];  [3];  [3]; ORCiD logo [3];  [3]; ORCiD logo [2]
  1. Max-Planck/Princeton Research Center for Plasma Physics, Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Max Planck Institute for Plasma Physics, Garching (Germany)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1416335
Report Number(s):
PPPL-5407
Journal ID: ISSN 1070-664X; TRN: US1800926
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 10; 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

Krebs, I., Jardin, S. C., Gunter, S., Lackner, K., Hoelzl, M., Strumberger, E., and Ferraro, N. Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations. United States: N. p., 2017. Web. doi:10.1063/1.4990704.
Krebs, I., Jardin, S. C., Gunter, S., Lackner, K., Hoelzl, M., Strumberger, E., & Ferraro, N. Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations. United States. doi:10.1063/1.4990704.
Krebs, I., Jardin, S. C., Gunter, S., Lackner, K., Hoelzl, M., Strumberger, E., and Ferraro, N. Wed . "Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations". United States. doi:10.1063/1.4990704. https://www.osti.gov/servlets/purl/1416335.
@article{osti_1416335,
title = {Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations},
author = {Krebs, I. and Jardin, S. C. and Gunter, S. and Lackner, K. and Hoelzl, M. and Strumberger, E. and Ferraro, N.},
abstractNote = {A self-regulating magnetic flux pumping mechanism in tokamaks that maintains the core safety factor at q≈1, thus preventing sawteeth, is analyzed in nonlinear 3D magnetohydrodynamic simulations using the M3D-C1 code. In these simulations, the most important mechanism responsible for the flux pumping is that a saturated (m=1,n=1) quasi-interchange instability generates an effective negative loop voltage in the plasma center via a dynamo effect. It is shown that sawtoothing is prevented in the simulations if β is sufficiently high to provide the necessary drive for the (m=1,n=1) instability that generates the dynamo loop voltage. In conclusion, the necessary amount of dynamo loop voltage is determined by the tendency of the current density profile to centrally peak which, in our simulations, is controlled by the peakedness of the applied heat source profile.},
doi = {10.1063/1.4990704},
journal = {Physics of Plasmas},
number = 10,
volume = 24,
place = {United States},
year = {2017},
month = {9}
}

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Works referenced in this record:

Numerical modelling of sawtooth crash using two-fluid equations
journal, September 2015


Tokamak m=1 magnetohydrodynamic calculations in toroidal geometry using a full set of nonlinear resistive magnetohydrodynamic equations
journal, January 1988

  • Charlton, L. A.; Carreras, B. A.; Holmes, J. A.
  • Physics of Fluids, Vol. 31, Issue 2
  • DOI: 10.1063/1.866867

Magnetic-Flux Pumping in High-Performance, Stationary Plasmas with Tearing Modes
journal, January 2009


MHD properties in the core of ITER-like hybrid scenarios
journal, December 2012


Ideal saturated MHD helical structures in axisymmetric hybrid plasmas
journal, May 2014


Controlling sawtooth oscillations in tokamak plasmas
journal, November 2010


Tokamak Magnetohydrodynamic Equilibrium States with Axisymmetric Boundary and a 3D Helical Core
journal, July 2010


Advanced scenarios for ITER operation
journal, April 2005

  • Sips, A. C. C.; Operation, for the Steady State; Activity, the Transport Physics topical group
  • Plasma Physics and Controlled Fusion, Vol. 47, Issue 5A
  • DOI: 10.1088/0741-3335/47/5A/003

Self-Organized Stationary States of Tokamaks
journal, November 2015


Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas
journal, May 2017


Magnetohydrodynamic dynamo in reversed field pinch plasmas: Electrostatic drift nature of the dynamo velocity field
journal, May 2006

  • Cappello, S.; Bonfiglio, D.; Escande, D. F.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2177198

Toroidal internal kink stability in tokamaks with ultra flat q profiles
journal, April 1988


The improved H-mode at ASDEX Upgrade: a candidate for an ITER hybrid scenario
journal, June 2005


Helical ITER hybrid scenario equilibria
journal, January 2011


CASTOR3D: linear stability studies for 2D and 3D tokamak equilibria
journal, November 2016


Overview of JT-60U progress towards steady-state advanced tokamak
journal, September 2005


Stationary H -Mode Discharges with Internal Transport Barrier on ASDEX Upgrade
journal, August 1999


Fast sawtooth reconnection at realistic Lundquist numbers
journal, November 2014


The m=1 convection cell and sawteeth in tokamaks
journal, January 1987

  • Denton, Richard E.; Drake, J. F.; Kleva, Robert G.
  • Physics of Fluids, Vol. 30, Issue 5
  • DOI: 10.1063/1.866258

Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma
journal, October 1994

  • Yamada, M.; Levinton, F. M.; Pomphrey, N.
  • Physics of Plasmas, Vol. 1, Issue 10
  • DOI: 10.1063/1.870479

Steady state advanced scenarios at ASDEX Upgrade
journal, November 2002


Relaxation Instability in Tokamaks
journal, July 1976


Oscillation regimes of the internal kink mode in tokamak plasmas
journal, November 2010


Nonlinear growth of the quasi‐interchange instability
journal, March 1989

  • Waelbroeck, F. L.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 3
  • DOI: 10.1063/1.859165

Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states
journal, November 2009


The ‘hybrid’ scenario in JET: towards its validation for ITER
journal, June 2005


Incomplete reconnection in sawtooth crashes in ASDEX Upgrade
journal, August 2002


The role of the current profile in the improved H-mode scenario in ASDEX Upgrade
journal, July 2007


MHD instabilities in 3D tokamaks
journal, May 2014


Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas
journal, January 2012


High-beta, steady-state hybrid scenario on DIII-D
journal, December 2015


Stability of low-shear tokamaks
journal, January 1988

  • Waelbroeck, F. L.; Hazeltine, R. D.
  • Physics of Fluids, Vol. 31, Issue 5
  • DOI: 10.1063/1.866750

Dominant Electrostatic Nature of the Reversed Field Pinch Dynamo
journal, April 2005


Diamagnetic thresholds for sawtooth cycling in tokamak plasmas
journal, October 2011

  • Halpern, Federico D.; Lütjens, Hinrich; Luciani, Jean-François
  • Physics of Plasmas, Vol. 18, Issue 10
  • DOI: 10.1063/1.3646305

Onset and saturation of a non-resonant internal mode in NSTX and implications for AT modes in ITER
journal, May 2011


Measurements of the MHD Dynamo in the Quasi-Single-Helicity Reversed-Field Pinch
journal, November 2004


A triangular finite element with first-derivative continuity applied to fusion MHD applications
journal, October 2004


Theory of ideal and resistive m=1 modes in tokamaks
journal, November 1993