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Title: Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma

Abstract

The aim of the present study is to analyze the stability of the pressure gradient driven modes (PM) and Alfvén eigenmodes (AE) in the large helical device (LHD) plasma if the rotational transform profile is modified by the current drive of the tangential neutral beam injectors (NBI). This study forms a basic search for optimized operation scenarios with reduced mode activity. Here, the analysis is performed using the code FAR3d which solves the reduced MHD equations describing the linear evolution of the poloidal flux and the toroidal component of the vorticity in a full 3D system, coupled with equations for density and parallel velocity moments of the energetic particle (EP) species, including the effect of the acoustic modes. The Landau damping and resonant destabilization effects are added via the closure relation. On-axis and off-axis NBI current drive modifies the rotational transform which becomes strongly distorted as the intensity of the neutral beam current drive (NBCD) increases, leading to wider continuum gaps and modifying the magnetic shear. The simulations with on-axis NBI injection show that a counter (ctr-) NBCD in inward shifted and default configurations leads to a lower growth rate of the PM, although strong n = 1 and 2more » AEs can be destabilized. For the outward shifted configurations, a co-NBCD improves the AEs stability but the PM are further destabilized if the co-NBCD intensity is 30 kA T–1. If the NBI injection is off-axis, the plasma stability is not significantly improved due to the further destabilization of the AE and energetic particle modes (EPM) in the middle and outer plasma region.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1];  [1]; ORCiD logo [3];  [4];  [5];  [1]
  1. National Institute for Fusion Science (NIFS), Toki (Japan)
  2. Ecole Polytechnique Federale Lausanne (Switzerland)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Univ. Carlos III de Madrid (Spain)
  5. Research Centre for Energy, Environment and Technology (CIEMAT), Madrid (Spain)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE; National Institute of Fusion Science (NIFS)
OSTI Identifier:
1817581
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 60; Journal Issue: 2; 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; AE; energetic particles

Citation Formats

Varela Rodriguez, Jacobo V., Cooper, W. A., Nagaoka, K., Watanabe, K. Y., Spong, Donald A., Garcia, L., Cappa, A., and Azegami, A. Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma. United States: N. p., 2020. Web. doi:10.1088/1741-4326/ab60cf.
Varela Rodriguez, Jacobo V., Cooper, W. A., Nagaoka, K., Watanabe, K. Y., Spong, Donald A., Garcia, L., Cappa, A., & Azegami, A. Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma. United States. https://doi.org/10.1088/1741-4326/ab60cf
Varela Rodriguez, Jacobo V., Cooper, W. A., Nagaoka, K., Watanabe, K. Y., Spong, Donald A., Garcia, L., Cappa, A., and Azegami, A. Thu . "Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma". United States. https://doi.org/10.1088/1741-4326/ab60cf. https://www.osti.gov/servlets/purl/1817581.
@article{osti_1817581,
title = {Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma},
author = {Varela Rodriguez, Jacobo V. and Cooper, W. A. and Nagaoka, K. and Watanabe, K. Y. and Spong, Donald A. and Garcia, L. and Cappa, A. and Azegami, A.},
abstractNote = {The aim of the present study is to analyze the stability of the pressure gradient driven modes (PM) and Alfvén eigenmodes (AE) in the large helical device (LHD) plasma if the rotational transform profile is modified by the current drive of the tangential neutral beam injectors (NBI). This study forms a basic search for optimized operation scenarios with reduced mode activity. Here, the analysis is performed using the code FAR3d which solves the reduced MHD equations describing the linear evolution of the poloidal flux and the toroidal component of the vorticity in a full 3D system, coupled with equations for density and parallel velocity moments of the energetic particle (EP) species, including the effect of the acoustic modes. The Landau damping and resonant destabilization effects are added via the closure relation. On-axis and off-axis NBI current drive modifies the rotational transform which becomes strongly distorted as the intensity of the neutral beam current drive (NBCD) increases, leading to wider continuum gaps and modifying the magnetic shear. The simulations with on-axis NBI injection show that a counter (ctr-) NBCD in inward shifted and default configurations leads to a lower growth rate of the PM, although strong n = 1 and 2 AEs can be destabilized. For the outward shifted configurations, a co-NBCD improves the AEs stability but the PM are further destabilized if the co-NBCD intensity is 30 kA T–1. If the NBI injection is off-axis, the plasma stability is not significantly improved due to the further destabilization of the AE and energetic particle modes (EPM) in the middle and outer plasma region.},
doi = {10.1088/1741-4326/ab60cf},
journal = {Nuclear Fusion},
number = 2,
volume = 60,
place = {United States},
year = {Thu Jan 16 00:00:00 EST 2020},
month = {Thu Jan 16 00:00:00 EST 2020}
}

Works referenced in this record:

A lower hybrid current drive system for ITER
journal, May 2009


Stabilization and prevention of the 2/1 neoclassical tearing mode for improved performance in DIII-D
journal, April 2007


First Demonstration of Rotational Transform Control by Electron Cyclotron Current Drive in Large Helical Device
journal, January 2008

  • Notake, Takashi; Shimozuma, Takashi; Kubo, Shin
  • Plasma and Fusion Research, Vol. 3
  • DOI: 10.1585/pfr.3.S1077

Effect of pressure-driven MHD instabilities on confinement in reactor-relevant high-beta helical plasmas
journal, May 2011

  • Watanabe, K. Y.; Masamune, S.; Takemura, Y.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3592675

An Eulerian gyrokinetic-Maxwell solver
journal, April 2003


Ballooning Modes Instabilities in Outward LHD Configurations
journal, January 2011

  • Varela, Jacobo; Watanabe, Kiyomasa Y.; Nakajima, Noriyoshi
  • Plasma and Fusion Research, Vol. 6
  • DOI: 10.1585/pfr.6.1403013

Monte Carlo Study Based on a Real Coordinate System for Tangentially Injected High-Energy Particles in the Large Helical Device
journal, January 2010

  • Seki, Ryosuke; Matsumoto, Yutaka; Suzuki, Yasuhiro
  • Plasma and Fusion Research, Vol. 5
  • DOI: 10.1585/pfr.5.027

Heating and non-inductive current drive by negative ion based NBI in JT-60U
journal, March 2000


Magnetic turbulence and pressure gradient feedback effect of the 1/2 mode soft-hard magnetohydrodynamic limit in large helical device
journal, September 2014

  • Varela, J.; Watanabe, K. Y.; Ohdachi, S.
  • Physics of Plasmas, Vol. 21, Issue 9
  • DOI: 10.1063/1.4895499

A reduced fast ion transport model for the tokamak transport code TRANSP
journal, April 2014


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


Effects of global MHD instability on operational high beta-regime in LHD
journal, October 2005


High‐mode‐number ballooning modes in a heliotron/torsatron system. II. Stability
journal, December 1996


High Performance of Neutral Beam Injectors for Extension of LHD Operational Regime
journal, August 2010

  • Takeiri, Y.; Kaneko, O.; Tsumori, K.
  • Fusion Science and Technology, Vol. 58, Issue 1
  • DOI: 10.13182/FST10-A10834

High‐mode‐number ballooning modes in a heliotron/torsatron system. I. Local magnetic shear
journal, December 1996


MHD instabilities and their effects on plasma confinement in Large Helical Device plasmas
journal, January 2004


Non-inductive current drive and transport in high β N plasmas in JET
journal, April 2009


Overview of JT-60U results for the development of a steady-state advanced tokamak scenario
journal, September 2007


Numerical calculations using the full MHD equations in toroidal geometry
journal, March 1986


Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983


Pullback transformation in gyrokinetic electromagnetic simulations
journal, September 2014

  • Mishchenko, Alexey; Könies, Axel; Kleiber, Ralf
  • Physics of Plasmas, Vol. 21, Issue 9
  • DOI: 10.1063/1.4895501

ECCD Experiment Using an Upgraded ECH System on LHD
journal, January 2012

  • Yoshimura, Yasuo; Kubo, Shin; Shimozuma, Takashi
  • Plasma and Fusion Research, Vol. 7, Issue 0
  • DOI: 10.1585/pfr.7.2402020

Bootstrap current in a tokamak
journal, September 1994


Influence of magnetic well on electromagnetic turbulence in the TJ-II stellarator
journal, July 2016


Electromagnetic stabilization of tokamak microturbulence in a high- β regime
journal, November 2014


Off-axis neutral beam current drive for advanced scenario development in DIII-D
journal, May 2009


Effects of non-vanishing toroidal current densities on stability in the Wendelstein 7-AS stellarator
journal, August 2000


Loss of energetic beam ions during TAE instabilities
journal, May 1993


Internal disruptions and sawtooth like activity in Large Helical Device
journal, August 2012

  • Varela, J.; Garcia, L.; Ohdachi, S.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4740064

Observation of localized oscillations at m / n = 2/1 rational surface during counter neutral beam injection in the Large Helical Device
journal, March 2006

  • Isayama, A.; Inagaki, S.; Watanabe, K. Y.
  • Plasma Physics and Controlled Fusion, Vol. 48, Issue 4
  • DOI: 10.1088/0741-3335/48/4/L01

RF current drive by electron cyclotron waves in the presence of magnetic islands
journal, May 2000


A δf particle method for gyrokinetic simulations with kinetic electrons and electromagnetic perturbations
journal, August 2003


The internal disruption as hard Magnetohydrodynamic limit of 1/2 sawtooth like activity in large helical device
journal, August 2012

  • Varela, J.; Watanabe, K. Y.; Ohdachi, S.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4747534

3D effects on transport and plasma control in the TJ-II stellarator
journal, August 2017


Effects of Resonant Magnetic Fluctuations on Plasma Confinement in Current Carrying high-β Plasmas of LHD
journal, January 2006

  • Sakakibara, Satoru; Watanabe, Kiyomasa; Yamada, Hiroshi
  • Plasma and Fusion Research, Vol. 1
  • DOI: 10.1585/pfr.1.003

Stability of alpha particle driven Alfvén eigenmodes in high performance JET DT plasmas
journal, May 1999


Hard magnetohydrodynamic limit in 1/3 sawtooth like activity in LHD
journal, March 2014

  • Varela, J.; Watanabe, K. Y.; Ohdachi, S.
  • Physics of Plasmas, Vol. 21, Issue 3
  • DOI: 10.1063/1.4867066

Electron cyclotron heating can drastically alter reversed shear Alfvén eigenmode activity in DIII-D through finite pressure effects
journal, July 2016


Suppression of fast-ion-driven MHD instabilities by ECH/ECCD on Heliotron J
journal, November 2017


Magnetic Topology Changes Induced by Lower Hybrid Waves and their Profound Effect on Edge-Localized Modes in the EAST Tokamak
journal, June 2013


Ion Heating Experiments Using Perpendicular Neutral Beam Injection in the Large Helical Device
journal, January 2008

  • Nagaoka, Kenichi; Yokoyama, Masayuki; Takeiri, Yasuhiko
  • Plasma and Fusion Research, Vol. 3
  • DOI: 10.1585/pfr.3.S1013

Stability of bootstrap current‐driven magnetic islands in stellarators
journal, September 1994

  • Hegna, C. C.; Callen, J. D.
  • Physics of Plasmas, Vol. 1, Issue 9
  • DOI: 10.1063/1.870505

Mitigation of NBI-driven Alfvén eigenmodes by electron cyclotron heating in the TJ-II stellarator
journal, July 2013


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
  • DOI: 10.1063/1.860386

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
  • DOI: 10.1063/1.860344

MHD study of the reactor-relevant high-beta regime in the Large Helical Device
journal, November 2008


Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990


Nonlocal energetic particle mode in a JT-60U plasma
journal, January 2005

  • Todo, Y.; Shinohara, K.; Takechi, M.
  • Physics of Plasmas, Vol. 12, Issue 1
  • DOI: 10.1063/1.1828084

Suppression of Trapped Energetic Ions Driven Resistive Interchange Modes with Electron Cyclotron Heating in a Helical Plasma
journal, March 2017


High Frequency Alfvén Eigen Modes Observed in LHD
journal, January 2006

  • Higaki, Hiroyuki; Ichimura, Makoto; Inoue, Daisuke
  • Plasma and Fusion Research, Vol. 1
  • DOI: 10.1585/pfr.1.034

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
  • DOI: 10.1063/1.859437

Kinetic theory of low-frequency Alfvén modes in tokamaks
journal, November 1996

  • Zonca, Fulvio; Chen, Liu; Santoro, Robert A.
  • Plasma Physics and Controlled Fusion, Vol. 38, Issue 11
  • DOI: 10.1088/0741-3335/38/11/011

Control of non-inductive current in Heliotron J
journal, August 2007


An investigation of beam driven Alfvén instabilities in the DIII-D tokamak
journal, September 1991


Progress toward steady-state tokamak operation exploiting the high bootstrap current fraction regime
journal, June 2016

  • Ren, Q. L.; Garofalo, A. M.; Gong, X. Z.
  • Physics of Plasmas, Vol. 23, Issue 6
  • DOI: 10.1063/1.4948724

High Power Neutral Beam Injection in LHD
journal, January 2006

  • Tsumori, K.; Takeiri, Y.; Nagaoka, K.
  • Plasma Science and Technology, Vol. 8, Issue 1
  • DOI: 10.1088/1009-0630/8/1/6

Three-dimensional anisotropic pressure free boundary equilibria
journal, September 2009

  • Cooper, W. A.; Hirshman, S. P.; Merkel, P.
  • Computer Physics Communications, Vol. 180, Issue 9
  • DOI: 10.1016/j.cpc.2009.04.006

Effect of fast electrons on the stability of resistive interchange modes in the TJ-II stellarator
journal, June 2016

  • García, L.; Ochando, M. A.; Carreras, B. A.
  • Physics of Plasmas, Vol. 23, Issue 6
  • DOI: 10.1063/1.4954826

Neoclassical tearing mode control using electron cyclotron current drive and magnetic island evolution in JT-60U
journal, April 2009


Integrated modelling of steady-state scenarios and heating and current drive mixes for ITER
journal, August 2011


Electron cyclotron resonance heating and current drive in toroidal fusion plasmas
journal, December 1994


Establishment of magnetic coordinates for a given magnetic field
journal, January 1982


Monte-Carlo Study Based on Real Coordinates for Perpendicularly Injected High-Energy Ions in the LHD High-Beta Plasma
journal, January 2010

  • Seki, Ryosuke; Matsumoto, Yutaka; Suzuki, Yasuhiro
  • Plasma and Fusion Research, Vol. 5
  • DOI: 10.1585/pfr.5.014

Steady-State Fully Noninductive Current Driven by Electron Cyclotron Waves in a Magnetically Confined Plasma
journal, April 2000


Progress on Electron Cyclotron Heating and Electron Cyclotron Current Drive Experiments in LHD
journal, October 2006

  • Shimozuma, Takashi; Kubo, Shin; Yoshimura, Yasuo
  • Fusion Science and Technology, Vol. 50, Issue 3
  • DOI: 10.13182/FST06-A1262

Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998


Heating and current drive by electron cyclotron waves in JT-60U
journal, May 2004


Resistive Interchange Modes Destabilized by Helically Trapped Energetic Ions in a Helical Plasma
journal, April 2015


Plasma characteristics of long-pulse discharges heated by neutral beam injection in the Large Helical Device
journal, January 2000


The effects of electron cyclotron heating and current drive on toroidal Alfvén eigenmodes in tokamak plasmas
journal, November 2017

  • Sharapov, S. E.; Garcia-Munoz, M.; Van Zeeland, M. A.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 1
  • DOI: 10.1088/1361-6587/aa90ee

Gyrokinetic particle simulations of reversed shear Alfvén eigenmode excited by antenna and fast ions
journal, November 2010

  • Deng, Wenjun; Lin, Zhihong; Holod, Ihor
  • Physics of Plasmas, Vol. 17, Issue 11
  • DOI: 10.1063/1.3496057

Pullback transformation in gyrokinetic electromagnetic simulations
text, January 2014


Study of MHD Stability in LHD
journal, August 2010

  • Sakakibara, S.; Watanabe, K. Y.; Ohdachi, S.
  • Fusion Science and Technology, Vol. 58, Issue 1
  • DOI: 10.13182/FST10-A10804

The bootstrap current in stellarators
journal, October 1990

  • Boozer, Allen H.; Gardner, Henry J.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 10
  • DOI: 10.1063/1.859506

100% noninductive operation at high beta using off-axis ECCD in DIII-D
journal, October 2005


Recent progress of Alfvén eigenmode experiments using N-NB in JT-60U tokamak
journal, August 2002


Heating and current drive by electron cyclotron waves
journal, May 2004


The Influence of Neutral Beam Injection on the Heating and Current Drive with Electron Cyclotron Wave on EAST
journal, October 2016


On the stabilization of neoclassical magnetohydrodynamic tearing modes using localized current drive or heating
journal, August 1997

  • Hegna, C. C.; Callen, J. D.
  • Physics of Plasmas, Vol. 4, Issue 8
  • DOI: 10.1063/1.872426

Compressible linear and nonlinear resistive MHD calculations in toroidal geometry
journal, February 1990


Nonlinear low noise particle-in-cell simulations of electron temperature gradient driven turbulence
journal, January 2007

  • Bottino, A.; Peeters, A. G.; Hatzky, R.
  • Physics of Plasmas, Vol. 14, Issue 1
  • DOI: 10.1063/1.2428280

Stabilization of neoclassical tearing mode by ECCD and its evolution simulation on JT-60U tokamak
journal, November 2005


Stability of alpha particle driven Alfvén eigenmodes in high performance JET DT plasmas
journal, March 1999


ECCD Experiments in the TJ-II Stellarator
journal, January 2008

  • Fernández, A.; Cappa, A.; Castejón, F.
  • Fusion Science and Technology, Vol. 53, Issue 1
  • DOI: 10.13182/FST08-A1670

Influence of magnetic topology on transport and stability in stellarators
journal, November 2005


Experimental studies of energetic-ion-driven MHD instabilities in Large Helical Device plasmas
journal, April 2005