Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model
Abstract
Here, energetic particle populations in nuclear fusion experiments can destabilize the Alfvén Eigenmodes through inverse Landau damping and couplings with gap modes in the shear Alfvén continua. We use the reduced MHD equations to describe the linear evolution of the poloidal flux and the toroidal component of the vorticity in a full 3D system, coupled with equations of density and parallel velocity moments for the energetic particles. We add the Landau damping and resonant destabilization effects using a closure relation. We apply the model to study the Alfvén mode stability in the inward-shifted configurations of the Large Helical Device (LHD), performing a parametric analysis of the energetic particle β ($${{\beta}_{f}}$$ ) in a range of realistic values, the ratios of the energetic particle thermal/Alfvén velocities ($${{V}_{\text{th}}}/{{V}_{A0}}$$ ), the magnetic Lundquist numbers (S) and the toroidal modes (n). The n = 1 and n = 2 TAEs are destabilized, although the n = 3 and n = 4 TAEs are weakly perturbed. The most unstable configurations are associated with the density gradients of energetic particles in the plasma core: the TAEs are destabilized, even for small energetic particle populations, if their thermal velocity is lower than 0.4 times the Alfvén velocity. The frequency range of MHD bursts measured in the LHD are 50–70 kHz for the n = 1 and 60–80 kHz for the n = 2 TAE, which is consistent with the model predictions.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. Carlos III de Madrid, Madrid (Spain)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1376358
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 57; Journal Issue: 4; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; stellarator; LHD; MHD; Alfvén eigenmodes; energetic particles
Citation Formats
Varela, Jacobo Rodriguez, Spong, D. A., and Garcia, L. Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model. United States: N. p., 2017.
Web. doi:10.1088/1741-4326/aa5d04.
Varela, Jacobo Rodriguez, Spong, D. A., & Garcia, L. Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model. United States. https://doi.org/10.1088/1741-4326/aa5d04
Varela, Jacobo Rodriguez, Spong, D. A., and Garcia, L. Mon .
"Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model". United States. https://doi.org/10.1088/1741-4326/aa5d04. https://www.osti.gov/servlets/purl/1376358.
@article{osti_1376358,
title = {Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model},
author = {Varela, Jacobo Rodriguez and Spong, D. A. and Garcia, L.},
abstractNote = {Here, energetic particle populations in nuclear fusion experiments can destabilize the Alfvén Eigenmodes through inverse Landau damping and couplings with gap modes in the shear Alfvén continua. We use the reduced MHD equations to describe the linear evolution of the poloidal flux and the toroidal component of the vorticity in a full 3D system, coupled with equations of density and parallel velocity moments for the energetic particles. We add the Landau damping and resonant destabilization effects using a closure relation. We apply the model to study the Alfvén mode stability in the inward-shifted configurations of the Large Helical Device (LHD), performing a parametric analysis of the energetic particle β (${{\beta}_{f}}$ ) in a range of realistic values, the ratios of the energetic particle thermal/Alfvén velocities (${{V}_{\text{th}}}/{{V}_{A0}}$ ), the magnetic Lundquist numbers (S) and the toroidal modes (n). The n = 1 and n = 2 TAEs are destabilized, although the n = 3 and n = 4 TAEs are weakly perturbed. The most unstable configurations are associated with the density gradients of energetic particles in the plasma core: the TAEs are destabilized, even for small energetic particle populations, if their thermal velocity is lower than 0.4 times the Alfvén velocity. The frequency range of MHD bursts measured in the LHD are 50–70 kHz for the n = 1 and 60–80 kHz for the n = 2 TAE, which is consistent with the model predictions.},
doi = {10.1088/1741-4326/aa5d04},
journal = {Nuclear Fusion},
number = 4,
volume = 57,
place = {United States},
year = {Mon Mar 06 00:00:00 EST 2017},
month = {Mon Mar 06 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
MHD instabilities and their effects on plasma confinement in Large Helical Device plasmas
journal, January 2004
- Toi, K.; Ohdachi, S.; Yamamoto, S.
- Nuclear Fusion, Vol. 44, Issue 2
Experimental studies of energetic-ion-driven MHD instabilities in Large Helical Device plasmas
journal, April 2005
- Yamamoto, S.; Toi, K.; Ohdachi, S.
- Nuclear Fusion, Vol. 45, Issue 5
Toroidal alfvén eigenmodes driven with ICRF accelerated protons in JT-60U negative shear discharges
journal, August 1998
- Kusama, Y.; Kimura, H.; Ozeki, T.
- Nuclear Fusion, Vol. 38, Issue 8
Excitation of toroidal Alfvén eigenmodes in TFTR
journal, April 1991
- Wong, K. L.; Fonck, R. J.; Paul, S. F.
- Physical Review Letters, Vol. 66, Issue 14
Stability of alpha particle driven Alfvén eigenmodes in high performance JET DT plasmas
journal, March 1999
- Sharapov, S. E.; Borba, D.; Fasoli, A.
- Nuclear Fusion, Vol. 39, Issue 3
An investigation of beam driven Alfvén instabilities in the DIII-D tokamak
journal, September 1991
- Heidbrink, W. W.; Strait, E. J.; Doyle, E.
- Nuclear Fusion, Vol. 31, Issue 9
Loss of energetic beam ions during TAE instabilities
journal, May 1993
- Duong, H. H.; Heidbrink, W. W.; Strait, E. J.
- Nuclear Fusion, Vol. 33, Issue 5
Characteristics of Alfvén eigenmodes, burst modes and chirping modes in the Alfvén frequency range driven by negative ion based neutral beam injection in JT-60U
journal, November 1999
- Kusama, Y.; Kramer, G. J.; Kimura, H.
- Nuclear Fusion, Vol. 39, Issue 11Y
Recent progress of Alfvén eigenmode experiments using N-NB in JT-60U tokamak
journal, August 2002
- Shinohara, K.; Takechi, M.; Ishikawa, M.
- Nuclear Fusion, Vol. 42, Issue 8
Energetic Particle Stabilization of Ballooning Modes in Tokamaks
journal, November 1983
- Rosenbluth, M. N.; Tsai, S. T.; Van Dam, J. W.
- Physical Review Letters, Vol. 51, Issue 21
High- , Sawtooth-Free Tokamak Operation Using Energetic Trapped Particles
journal, January 1989
- White, R. B.; Bussac, M. N.; Romanelli, F.
- Physical Review Letters, Vol. 62, Issue 5
Theoretical Model of Fishbone Oscillations in Magnetically Confined Plasmas
journal, November 1986
- Coppi, B.; Porcelli, F.
- Physical Review Letters, Vol. 57, Issue 18
Unified theory of resonant excitation of kinetic ballooning modes by energetic ions and alpha particles in tokamaks
journal, December 1991
- Biglari, H.; Chen, L.
- Physical Review Letters, Vol. 67, Issue 26
Observation of Helicity-Induced Alfvén Eigenmodes in Large-Helical-Device Plasmas Heated by Neutral-Beam Injection
journal, December 2003
- Yamamoto, S.; Toi, K.; Nakajima, N.
- Physical Review Letters, Vol. 91, Issue 24
Observations of neutral beam and ICRF tail ion losses due to Alfven modes in TFTR
journal, July 1997
- Darrow, D. S.; Zweben, S. J.; Chang, Z.
- Nuclear Fusion, Vol. 37, Issue 7
The shear Alfvén continuous spectrum of axisymmetric toroidal equilibria in the large aspect ratio limit
journal, December 1982
- Kieras, C. E.; Tataronis, J. A.
- Journal of Plasma Physics, Vol. 28, Issue 3
Low-n shear Alfvén spectra in axisymmetric toroidal plasmas
journal, January 1986
- Cheng, C. Z.; Chance, M. S.
- Physics of Fluids, Vol. 29, Issue 11
Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak
journal, October 1989
- Fu, G. Y.; Van Dam, J. W.
- Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10
Stability of Alfvén gap modes in burning plasmas
journal, June 1992
- Betti, R.; Freidberg, J. P.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 6
MHD control in burning plasmas
journal, July 2012
- Donné, Tony; Liang, Yunfeng
- Nuclear Fusion, Vol. 52, Issue 7
Chapter 5: Physics of energetic ions
journal, December 1999
- Drive, ITER Physics Expert Group on Energe; Editors, ITER Physics Basis
- Nuclear Fusion, Vol. 39, Issue 12
Energetic ion driven Alfvén eigenmodes in Large Helical Device plasmas with three-dimensional magnetic structure and their impact on energetic ion transport
journal, May 2004
- Toi, K.; Yamamoto, S.; Nakajima, N.
- Plasma Physics and Controlled Fusion, Vol. 46, Issue 7
Experimental observations of enhanced radial transport of energetic particles with Alfvén eigenmode on the LHD
journal, September 2006
- Osakabe, M.; Yamamoto, S.; Toi, K.
- Nuclear Fusion, Vol. 46, Issue 10
Numerical calculations using the full MHD equations in toroidal geometry
journal, March 1986
- Charlton, L. A.; Holmes, J. A.; Hicks, H. R.
- Journal of Computational Physics, Vol. 63, Issue 1
Compressible linear and nonlinear resistive MHD calculations in toroidal geometry
journal, February 1990
- Charlton, L. A.; Holmes, J. A.; Lynch, V. E.
- Journal of Computational Physics, Vol. 86, Issue 2
Linearized gyrofluid model of the alpha‐destabilized toroidal Alfvén eigenmode with continuum damping effects
journal, October 1992
- Spong, D. A.; Carreras, B. A.; Hedrick, C. L.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 10
Alpha‐Alfvén local dispersion relation and solutions
journal, December 1992
- Hedrick, C. L.; Leboeuf, J. ‐N.; Spong, D. A.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 12
Simulation of Alfvén frequency cascade modes in reversed shear-discharges using a Landau-closure model
journal, April 2013
- Spong, D. A.
- Nuclear Fusion, Vol. 53, Issue 5
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983
- Hirshman, S. P.
- Physics of Fluids, Vol. 26, Issue 12
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990
- Hammett, Gregory W.; Perkins, Francis W.
- Physical Review Letters, Vol. 64, Issue 25
Low‐ n stability calculations for three‐dimensional stellarator configurations
journal, September 1990
- Garcia, L.; Carreras, B. A.; Dominguez, N.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9
Establishment of magnetic coordinates for a given magnetic field
journal, January 1982
- Boozer, Allen H.
- Physics of Fluids, Vol. 25, Issue 3
Clustered frequency analysis of shear Alfvén modes in stellarators
journal, February 2010
- Spong, D. A.; D’Azevedo, E.; Todo, Y.
- Physics of Plasmas, Vol. 17, Issue 2
Works referencing / citing this record:
Dynamic neutral beam current and voltage control to improve beam efficacy in tokamaks
journal, May 2018
- Austin, M. E.; Bardoczi, L.; Collins, C. S.
- Physics of Plasmas, Vol. 25, Issue 5
Study of Alfven eigenmodes stability in plasma with multiple NBI driven energetic particle species
journal, June 2019
- Varela, J.; Spong, D. A.; Garcia, L.
- Physics of Plasmas, Vol. 26, Issue 6