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Title: Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas

Abstract

Stationary 3D equilibria can form in fusion plasmas via saturation of magnetohydrodynamic (MHD) instabilities or stimulated by external 3D fields. In these cases the current profile is anomalously broad due to magnetic flux pumping produced by the MHD modes. Flux pumping plays an important role in hybrid tokamak plasmas, maintaining the minimum safety factor above unity and thus removing sawteeth. It also enables steady-state hybrid operation, by redistributing non-inductive current driven near the center by electron cyclotron waves. A validated flux pumping model is not yet available, but it would be necessary to extrapolate hybrid operation to future devices. In this work flux pumping physics is investigated for helical core equilibria stimulated by external 3D fields in DIII-D hybrid plasmas. We show that flux pumping can be produced in a continuous way by an MHD dynamo emf. The same effect maintains helical equilibria in reversed-field pinch (RFP) plasmas. The effective MHD dynamo loop voltage is calculated for experimental 3D equilibrium reconstructions, by balancing Ohm’s law over helical flux surfaces, and is consistent with the expected current redistribution. Similar results are also obtained with more sophisticated nonlinear MHD simulations. The same modelling approach is applied to helical RFP states forming spontaneouslymore » in RFX-mod as the plasma current is raised above 0.8–1 MA. This comparison allows to identify the underlying physics common to tokamak and RFP: a helical core displacement modulates parallel current density along flux tubes, which requires a helical electrostatic potential to build up, giving rise to a helical MHD dynamo flow.« less

Authors:
 [1];  [1];  [2];  [3];  [4];  [1];  [5];  [2];  [2];  [1];  [3];  [6];  [7];  [1];  [3];  [8];  [1];  [1]
  1. Univ. of Padova (Italy)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. General Atomics, San Diego, CA (United States)
  4. Oak Ridge Associated Univ., Oak Ridge, TN (United States)
  5. Columbia Univ., New York, NY (United States)
  6. Aix-Marseille Univ., and CNRS/IN2P3, Marseille (France)
  7. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  8. Culham Science Centre, Abingdon (United Kingdom). Culham Centre for Fusion Energy (CCFE), EURATOM/UKAEA Fusion Association
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Contributing Org.:
The DIII-D; RFX-Mod Teams
OSTI Identifier:
1376541
Alternate Identifier(s):
OSTI ID: 1838268
Report Number(s):
LLNL-JRNL-830410
Journal ID: ISSN 0029-5515
Grant/Contract Number:  
AC05-00OR22725; AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 57; Journal Issue: 7; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 3D equilibrium reconstruction; MHD dynamo; hybrid tokamak scenario; helical RFP states

Citation Formats

Piovesan, P., Bonfiglio, D., Cianciosa, M., Luce, T. C., Taylor, N. Z., Terranova, D., Turco, F., Wilcox, R. S., Wingen, A., Cappello, S., Chrystal, C., Escande, D. F., Holcomb, C. T., Marrelli, L., Paz-Soldan, C., Piron, L., Predebon, I., and Zaniol, B. Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas. United States: N. p., 2017. Web. doi:10.1088/1741-4326/aa700b.
Piovesan, P., Bonfiglio, D., Cianciosa, M., Luce, T. C., Taylor, N. Z., Terranova, D., Turco, F., Wilcox, R. S., Wingen, A., Cappello, S., Chrystal, C., Escande, D. F., Holcomb, C. T., Marrelli, L., Paz-Soldan, C., Piron, L., Predebon, I., & Zaniol, B. Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas. United States. https://doi.org/10.1088/1741-4326/aa700b
Piovesan, P., Bonfiglio, D., Cianciosa, M., Luce, T. C., Taylor, N. Z., Terranova, D., Turco, F., Wilcox, R. S., Wingen, A., Cappello, S., Chrystal, C., Escande, D. F., Holcomb, C. T., Marrelli, L., Paz-Soldan, C., Piron, L., Predebon, I., and Zaniol, B. Fri . "Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas". United States. https://doi.org/10.1088/1741-4326/aa700b. https://www.osti.gov/servlets/purl/1376541.
@article{osti_1376541,
title = {Role of a continuous MHD dynamo in the formation of 3D equilibria in fusion plasmas},
author = {Piovesan, P. and Bonfiglio, D. and Cianciosa, M. and Luce, T. C. and Taylor, N. Z. and Terranova, D. and Turco, F. and Wilcox, R. S. and Wingen, A. and Cappello, S. and Chrystal, C. and Escande, D. F. and Holcomb, C. T. and Marrelli, L. and Paz-Soldan, C. and Piron, L. and Predebon, I. and Zaniol, B.},
abstractNote = {Stationary 3D equilibria can form in fusion plasmas via saturation of magnetohydrodynamic (MHD) instabilities or stimulated by external 3D fields. In these cases the current profile is anomalously broad due to magnetic flux pumping produced by the MHD modes. Flux pumping plays an important role in hybrid tokamak plasmas, maintaining the minimum safety factor above unity and thus removing sawteeth. It also enables steady-state hybrid operation, by redistributing non-inductive current driven near the center by electron cyclotron waves. A validated flux pumping model is not yet available, but it would be necessary to extrapolate hybrid operation to future devices. In this work flux pumping physics is investigated for helical core equilibria stimulated by external 3D fields in DIII-D hybrid plasmas. We show that flux pumping can be produced in a continuous way by an MHD dynamo emf. The same effect maintains helical equilibria in reversed-field pinch (RFP) plasmas. The effective MHD dynamo loop voltage is calculated for experimental 3D equilibrium reconstructions, by balancing Ohm’s law over helical flux surfaces, and is consistent with the expected current redistribution. Similar results are also obtained with more sophisticated nonlinear MHD simulations. The same modelling approach is applied to helical RFP states forming spontaneously in RFX-mod as the plasma current is raised above 0.8–1 MA. This comparison allows to identify the underlying physics common to tokamak and RFP: a helical core displacement modulates parallel current density along flux tubes, which requires a helical electrostatic potential to build up, giving rise to a helical MHD dynamo flow.},
doi = {10.1088/1741-4326/aa700b},
journal = {Nuclear Fusion},
number = 7,
volume = 57,
place = {United States},
year = {Fri Apr 28 00:00:00 EDT 2017},
month = {Fri Apr 28 00:00:00 EDT 2017}
}

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Works referenced in this record:

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


Time-Resolved Observation of Discrete and Continuous Magnetohydrodynamic Dynamo in the Reversed-Field Pinch Edge
journal, August 1994


Flow measurements and modelling in helical RFX-mod equilibria
journal, November 2011


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


Maintaining the quasi-steady state central current density profile in hybrid discharges
journal, April 2007


Spectroscopic Observation of Fluctuation-Induced Dynamo in the Edge of the Reversed-Field Pinch
journal, July 2000


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

First-order finite-Larmor-radius fluid modeling of tearing and relaxation in a plasma pinch
journal, May 2012

  • King, J. R.; Sovinec, C. R.; Mirnov, V. V.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3695346

Evidence for anomalous effects on the current evolution in the tokamak hybrid operating scenarios
journal, July 2007


Simple and rigorous solution for the nonlinear tearing mode
journal, March 2004


The high-βN hybrid scenario for ITER and FNSF steady-state missionsa)
journal, May 2015

  • Turco, F.; Petty, C. C.; Luce, T. C.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921161

Local measurements of tearing mode flows and the magnetohydrodynamic dynamo in the Madison Symmetric Torus reversed-field pinch
journal, August 2010

  • Ennis, D. A.; Craig, D.; Gangadhara, S.
  • Physics of Plasmas, Vol. 17, Issue 8
  • DOI: 10.1063/1.3458667

Compatibility of ITER scenarios with full tungsten wall in ASDEX Upgrade
journal, September 2009


Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D
journal, October 2016


Nonlinear plasma evolution and sustainment in the reversed field pinch
journal, March 1992

  • Cappello, S.; Paccagnella, R.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 3
  • DOI: 10.1063/1.860471

Helical equilibrium reconstruction with V3FIT in the RFX-mod Reversed Field Pinch
journal, September 2013


Bifurcated helical core equilibrium states in tokamaks
journal, June 2013


RFX-mod: A multi-configuration fusion facility for three-dimensional physics studies
journal, May 2013

  • Piovesan, P.; Bonfiglio, D.; Auriemma, F.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4806765

Integrated scenario in JET using real-time profile control
journal, November 2003


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


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


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


Development, physics basis and performance projections for hybrid scenario operation in ITER on DIII-D
journal, May 2005


First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations
journal, April 2011

  • King, J. R.; Sovinec, C. R.; Mirnov, V. V.
  • Physics of Plasmas, Vol. 18, Issue 4
  • DOI: 10.1063/1.3571599

Long pulse high performance discharges in the DIII-D tokamak
journal, November 2001


Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas
journal, June 2009

  • Lorenzini, R.; Martines, E.; Piovesan, P.
  • Nature Physics, Vol. 5, Issue 8
  • DOI: 10.1038/nphys1308

Impact of RMP magnetic field simulation models on fast ion losses
journal, December 2014


Equilibrium and transport for quasi-helical reversed field pinches
journal, August 2011


Self-Organized Stationary States of Tokamaks
journal, November 2015


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


SIESTA: A scalable iterative equilibrium solver for toroidal applications
journal, June 2011

  • Hirshman, S. P.; Sanchez, R.; Cook, C. R.
  • Physics of Plasmas, Vol. 18, Issue 6
  • DOI: 10.1063/1.3597155

Steady state advanced scenarios at ASDEX Upgrade
journal, November 2002


Helical core reconstruction of a DIII-D hybrid scenario tokamak discharge
journal, May 2017


Impact of ideal MHD stability limits on high-beta hybrid operation
journal, November 2016


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


Measurement of core velocity fluctuations and the dynamo in a reversed-field pinch
journal, May 1999

  • Den Hartog, D. J.; Chapman, J. T.; Craig, D.
  • Physics of Plasmas, Vol. 6, Issue 5
  • DOI: 10.1063/1.873439

V3FIT: a code for three-dimensional equilibrium reconstruction
journal, July 2009


Long-pulse hybrid scenario development in JT-60U
journal, May 2009


Development of advanced inductive scenarios for ITER
journal, December 2013


Inductive flux usage and its optimization in tokamak operation
journal, July 2014


Works referencing / citing this record:

Helicity transport and dynamo sustainment for helical plasma states
journal, September 2019


Destabilization of field-line localized density fluctuation with a 1/1 internal kink mode in the EAST tokamak
journal, July 2019


Magnetohydrodynamics modelling successfully predicts new helical states in reversed-field pinch fusion plasmas
journal, August 2017


Helical core formation and evolution during current ramp-up in the high-field tokamak Alcator C-Mod
journal, February 2019

  • Wingen, A.; Wilcox, R. S.; Delgado-Aparicio, L. F.
  • Physics of Plasmas, Vol. 26, Issue 2
  • DOI: 10.1063/1.5083055

Use of reconstructed 3D equilibria to determine onset conditions of helical cores in tokamaks for extrapolation to ITER
journal, January 2018


An overview of diagnostic upgrade and experimental progress in the KTX
journal, July 2019


Experimental observations of an n = 1 helical core accompanied by a saturated m / n = 2/1 tearing mode with low mode frequencies in JT-60U
journal, October 2019

  • Bando, T.; Matsunaga, G.; Takechi, M.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 11
  • DOI: 10.1088/1361-6587/ab4612

Saturated helical mode in EAST high β hybrid plasmas
journal, October 2019


Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations
journal, October 2017

  • Krebs, I.; Jardin, S. C.; Günter, S.
  • Physics of Plasmas, Vol. 24, Issue 10
  • DOI: 10.1063/1.4990704

Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations
text, January 2017