Stability of beta-induced Alfvén eigenmodes (BAE) in DIII-D

Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E.; Crocker, N. A.; Du, X. D.; McKee, G. R.; Spong, D. A.

doi:10.1088/1741-4326/abf953

Stability of beta-induced Alfvén eigenmodes (BAE) in DIII-D

Journal Article · Tue May 18 00:00:00 EDT 2021 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/abf953· OSTI ID:1784050

^[1]; ^[2]; Austin, M. E. ^[3]; ^[4]; ^[2]; ^[5]; ^[6]

Univ. of California, Irvine, CA (United States); General Atomics, Energy & Advanced Concepts, DIII-D
General Atomics, San Diego, CA (United States)
Univ. of Texas, Austin, TX (United States)
Univ. of California, Los Angeles, CA (United States)
Univ. of Wisconsin, Madison, WI (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Although the stability of ellipticity, toroidal and reversed-shear Alfvén eigenmodes (EAE, TAE, RSAE) are relatively well understood, less is known about the stability of lower-frequency modes such as the beta-induced Alfvén eigenmode (BAE) but, because they are often unstable in present devices and are implicated in fast-ion transport, understanding their stability is vital. BAE stability is studied in primarily weak or reversed shear DIII-D plasmas with sub-Alfvénic deuterium beams. Modes are classified based on electron cyclotron emission, beam emission spectroscopy, magnetics, and interferometer data. The study is limited to the initial two seconds of the discharge, where the evolving q profile provides an effective scan of the dependence of stability upon q. In a dedicated experiment, BAEs are unstable at times in the discharge when the minimum of the safety factor q_min is close to a rational number. The observed mode frequencies are usually close to analytic estimates of the BAE accumulation point and the eigenfunction peaks in the vicinity of q_min. Unstable BAEs usually occur in bursts that chirp rapidly in frequency. To isolate the importance of thermal and beam gradients in driving the modes, the beam and electron cyclotron heating power is altered for 50–100 ms durations in reproducible discharges. As expected from the resonance condition, BAEs depend sensitively on the beam power and injection geometry. Modes only persist for ~25 ms because the anisotropic beam population only interacts strongly with the modes over a relatively narrow range of q. Lastly, a database of over 1000 beam-heated discharges shows that BAEs are more likely to be unstable when the poloidal beta exceeds 0.5.

View Accepted Manuscript (DOE)

Research Organization:: General Atomics, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FC02-04ER54698

OSTI ID:: 1784050

Alternate ID(s):: OSTI ID: 23129768

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 6 Vol. 61; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

References (70)

The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library Pankin, Alexei; McCune, Douglas; Andre, Robert Computer Physics Communications, Vol. 159, Issue 3 https://doi.org/10.1016/j.cpc.2003.11.002	journal	June 2004
LIGKA: A linear gyrokinetic code for the description of background kinetic and fast particle effects on the MHD stability in tokamaks Lauber, Ph.; Günter, S.; Könies, A. Journal of Computational Physics, Vol. 226, Issue 1 https://doi.org/10.1016/j.jcp.2007.04.019	journal	September 2007
Predictions and observations of low-shear beta-induced shear Alfvén–acoustic eigenmodes in toroidal plasmas Gorelenkov, N. N.; Berk, H. L.; Fredrickson, E. Physics Letters A, Vol. 370, Issue 1 https://doi.org/10.1016/j.physleta.2007.05.113	journal	October 2007
MHD spectroscopy through detecting toroidal Alfvén eigenmodes and Alfvén wave cascades Sharapov, S. E.; Testa, D.; Alper, B. Physics Letters A, Vol. 289, Issue 3 https://doi.org/10.1016/s0375-9601(01)00588-6	journal	October 2001
High spatial and temporal resolution visible spectroscopy of the plasma edge in DIII‐D Gohil, P.; Burrell, K. H.; Groebner, R. J. Review of Scientific Instruments, Vol. 61, Issue 10 https://doi.org/10.1063/1.1141786	journal	October 1990
Design and operation of the multipulse Thomson scattering diagnostic on DIII‐D (invited) Carlstrom, T. N.; Campbell, G. L.; DeBoo, J. C. Review of Scientific Instruments, Vol. 63, Issue 10 https://doi.org/10.1063/1.1143545	journal	October 1992
Motional Stark effect upgrades on DIII‐D Rice, B. W.; Nilson, D. G.; Wróblewski, D. Review of Scientific Instruments, Vol. 66, Issue 1 https://doi.org/10.1063/1.1146416	journal	January 1995
Electron cyclotron emission radiometer upgrade on the DIII-D tokamak Austin, M. E.; Lohr, J. Review of Scientific Instruments, Vol. 74, Issue 3 https://doi.org/10.1063/1.1530387	journal	March 2003
Enhanced sensitivity beam emission spectroscopy system for nonlinear turbulence measurements Gupta, Deepak K.; Fonck, Raymond J.; McKee, George R. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1787951	journal	October 2004
Magnetic diagnostic system of the DIII-D tokamak Strait, E. J. Review of Scientific Instruments, Vol. 77, Issue 2 https://doi.org/10.1063/1.2166493	journal	February 2006
Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas Heidbrink, W. W. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838239	journal	May 2008
A novel, multichannel, comb-frequency Doppler backscatter system Peebles, W. A.; Rhodes, T. L.; Hillesheim, J. C. Review of Scientific Instruments, Vol. 81, Issue 10 https://doi.org/10.1063/1.3464266	journal	October 2010
Linear gyrokinetic simulation of high-n toroidal Alfvén eigenmodes in a burning plasma Chen, Yang; Parker, Scott E.; Lang, J. Physics of Plasmas, Vol. 17, Issue 10 https://doi.org/10.1063/1.3490213	journal	October 2010
Gyrokinetic particle simulation of beta-induced Alfvén eigenmode Zhang, H. S.; Lin, Z.; Holod, I. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3498761	journal	November 2010
Gyrokinetic simulation of global and local Alfvén eigenmodes driven by energetic particles in a DIII-D discharge Bass, E. M.; Waltz, R. E. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4773177	journal	January 2013
Analytic studies of dispersive properties of shear Alfvén and acoustic wave spectra in tokamaks Chavdarovski, Ilija; Zonca, Fulvio Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4876000	journal	May 2014
Gyrokinetic particle simulation of fast-electron driven beta-induced Aflvén eigenmode Cheng, Junyi; Zhang, Wenlu; Lin, Zhihong Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4948487	journal	May 2016
Destabilization of beta-induce Alfvén eigenmodes by energetic trapped ions in low-magnetic-shear plasma Ma, Ruirui; Chen, Wei; He, Hongda Physics of Plasmas, Vol. 24, Issue 10 https://doi.org/10.1063/1.4996605	journal	October 2017
Hybrid simulations of fishbone instabilities and Alfvén eigenmodes in DIII-D tokamak Ren, Zhen-Zhen; Fu, G. Y.; Van Zeeland, M. A. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5064647	journal	December 2018
Theory of a high‐ n toroidicity‐induced shear Alfvén eigenmode in tokamaks Fu, G. Y.; Cheng, C. Z. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 5 https://doi.org/10.1063/1.859245	journal	May 1990
A numerical study of the high‐ n shear Alfvén spectrum gap and the high‐ n gap mode Chu, M. S.; Greene, J. M.; Lao, L. L. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11 https://doi.org/10.1063/1.860327	journal	November 1992
Theory of kinetic ballooning modes excited by energetic particles in tokamaks Tsai, Shih‐Tung; Chen, Liu Physics of Fluids B: Plasma Physics, Vol. 5, Issue 9 https://doi.org/10.1063/1.860624	journal	September 1993
Global Alfvén modes: Theory and experiment* Turnbull, A. D.; Strait, E. J.; Heidbrink, W. W. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7 https://doi.org/10.1063/1.860742	journal	July 1993
Theory of magnetohydrodynamic instabilities excited by energetic particles in tokamaks* Chen, Liu Physics of Plasmas, Vol. 1, Issue 5 https://doi.org/10.1063/1.870702	journal	May 1994
Modeling the excitation of global Alfvén modes by an external antenna in the Joint European Torus (JET) Huysmans, G. T. A.; Kerner, W.; Borba, D. Physics of Plasmas, Vol. 2, Issue 5 https://doi.org/10.1063/1.871310	journal	May 1995
Gyrokinetic‐magnetohydrodynamic hybrid simulation of the transition from toroidal Alfvén eigenmodes to kinetic ballooning modes in tokamaks Santoro, R. A.; Chen, Liu Physics of Plasmas, Vol. 3, Issue 6 https://doi.org/10.1063/1.871918	journal	June 1996
What is the “beta-induced Alfvén eigenmode?” Heidbrink, W. W.; Ruskov, E.; Carolipio, E. M. Physics of Plasmas, Vol. 6, Issue 4 https://doi.org/10.1063/1.873359	journal	April 1999
Fast particle finite orbit width and Larmor radius effects on low- n toroidicity induced Alfvén eigenmode excitation Gorelenkov, N. N.; Cheng, C. Z.; Fu, G. Y. Physics of Plasmas, Vol. 6, Issue 7 https://doi.org/10.1063/1.873545	journal	July 1999
Fusion neutron production during deuterium neutral-beam injection into the PLT tokamak Strachan, J. D.; Colestock, P. L.; Davis, S. L. Nuclear Fusion, Vol. 21, Issue 1 https://doi.org/10.1088/0029-5515/21/1/006	journal	January 1981
Reconstruction of current profile parameters and plasma shapes in tokamaks Lao, L. L.; St. John, H.; Stambaugh, R. D. Nuclear Fusion, Vol. 25, Issue 11 https://doi.org/10.1088/0029-5515/25/11/007	journal	November 1985
Loss of energetic beam ions during TAE instabilities Duong, H. H.; Heidbrink, W. W.; Strait, E. J. Nuclear Fusion, Vol. 33, Issue 5 https://doi.org/10.1088/0029-5515/33/5/i06	journal	May 1993
Fast particle destabilization of toroidal Alfven eigenmodes Cheng, C. Z.; Gorelenkov, N. N.; Hsu, C. T. Nuclear Fusion, Vol. 35, Issue 12 https://doi.org/10.1088/0029-5515/35/12/i28	journal	December 1995
Search for alpha driven BAEs in TFTR Heidbrink, W. W.; Batha, S. H.; Bell, R. E. Nuclear Fusion, Vol. 36, Issue 12 https://doi.org/10.1088/0029-5515/36/12/i11	journal	December 1996
Nonlinear simulation studies of tokamaks and STs Park, W.; Breslau, J.; Chen, J. Nuclear Fusion, Vol. 43, Issue 6 https://doi.org/10.1088/0029-5515/43/6/311	journal	June 2003
Observation of high-frequency waves during strong tearing mode activity in FTU plasmas without fast ions Buratti, P.; Smeulders, P.; Zonca, F. Nuclear Fusion, Vol. 45, Issue 11 https://doi.org/10.1088/0029-5515/45/11/027	journal	October 2005
Quantitative density fluctuation measurements utilizing quadrature reflectometers on DIII-D Wang, G.; Peebles, W. A.; Rhodes, T. L. Nuclear Fusion, Vol. 46, Issue 9 https://doi.org/10.1088/0029-5515/46/9/s06	journal	August 2006
Destabilization of beta-induced Alfvén eigenmodes in the HL-2A tokamak Chen, W.; Ding, X. T.; Liu, Yi. Nuclear Fusion, Vol. 51, Issue 6 https://doi.org/10.1088/0029-5515/51/6/063010	journal	May 2011
NBI-driven Alfvénic modes at ASDEX Upgrade Lauber, Ph.; Classen, I. G. J.; Curran, D. Nuclear Fusion, Vol. 52, Issue 9 https://doi.org/10.1088/0029-5515/52/9/094007	journal	September 2012
Electron cyclotron heating can drastically alter reversed shear Alfvén eigenmode activity in DIII-D through finite pressure effects Van Zeeland, M. A.; Heidbrink, W. W.; Sharapov, S. E. Nuclear Fusion, Vol. 56, Issue 11 https://doi.org/10.1088/0029-5515/56/11/112007	journal	July 2016
Linear and nonlinear evolution of alpha-particle driven gap modes Briguglio, S.; Kar, C.; Romanelli, F. Plasma Physics and Controlled Fusion, Vol. 37, Issue 11A https://doi.org/10.1088/0741-3335/37/11a/019	journal	November 1995
Kinetic theory of low-frequency Alfvén modes in tokamaks Zonca, Fulvio; Chen, Liu; Santoro, Robert A. Plasma Physics and Controlled Fusion, Vol. 38, Issue 11 https://doi.org/10.1088/0741-3335/38/11/011	journal	November 1996
Alfvén eigenmode observations on DIII-D via two-colour CO ₂ interferometry Zeeland, M. A. Van; Kramer, G. J.; Nazikian, R. Plasma Physics and Controlled Fusion, Vol. 47, Issue 9 https://doi.org/10.1088/0741-3335/47/9/l01	journal	August 2005
Predictions and observations of global beta-induced Alfvén—acoustic modes in JET and NSTX Gorelenkov, N. N.; Berk, H. L.; Crocker, N. A. Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B https://doi.org/10.1088/0741-3335/49/12b/s34	journal	November 2007
Excitation of beta-induced Alfvén eigenmodes in the presence of a magnetic island Annibaldi, S. V.; Zonca, F.; Buratti, P. Plasma Physics and Controlled Fusion, Vol. 49, Issue 4 https://doi.org/10.1088/0741-3335/49/4/010	journal	March 2007
Kinetic Alfvén eigenmodes at ASDEX Upgrade Lauber, Ph; Brüdgam, M.; Curran, D. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124009	journal	November 2009
Excitation of beta Alfvén eigenmodes in Tore-Supra Nguyen, C.; Garbet, X.; Sabot, R. Plasma Physics and Controlled Fusion, Vol. 51, Issue 9 https://doi.org/10.1088/0741-3335/51/9/095002	journal	August 2009
Theory and simulation of discrete kinetic beta induced Alfvén eigenmode in tokamak plasmas Wang, X.; Zonca, F.; Chen, L. Plasma Physics and Controlled Fusion, Vol. 52, Issue 11 https://doi.org/10.1088/0741-3335/52/11/115005	journal	September 2010
Investigation of fast particle driven instabilities by 2D electron cyclotron emission imaging on ASDEX Upgrade Classen, I. G. J.; Lauber, Ph; Curran, D. Plasma Physics and Controlled Fusion, Vol. 53, Issue 12 https://doi.org/10.1088/0741-3335/53/12/124018	journal	November 2011
Energetic particle driven magnetohydrodynamic instabilities during relaxation cycles in Tore Supra Guimarães-Filho, Z. O.; Elbeze, D.; Sabot, R. Plasma Physics and Controlled Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0741-3335/53/7/074012	journal	May 2011
Low-frequency Alfvén eigenmodes during the sawtooth cycle at ASDEX Upgrade Curran, D.; Lauber, Ph; Carthy, P. J. Mc Plasma Physics and Controlled Fusion, Vol. 54, Issue 5 https://doi.org/10.1088/0741-3335/54/5/055001	journal	April 2012
First evidence of Alfvén wave activity in KSTAR plasmas Hole, M. J.; Ryu, C. M.; Woo, M. H. Plasma Physics and Controlled Fusion, Vol. 55, Issue 4 https://doi.org/10.1088/0741-3335/55/4/045004	journal	February 2013
Experimental observation of beta-induced Alfvén eigenmodes during strong tearing modes on the EAST tokamak in fast-electron plasmas Xu, M.; Chen, W.; Hu, L. Q. Plasma Physics and Controlled Fusion, Vol. 55, Issue 6 https://doi.org/10.1088/0741-3335/55/6/065002	journal	April 2013
A reduced fast ion transport model for the tokamak transport code TRANSP Podestà, M.; Gorelenkova, M.; White, R. B. Plasma Physics and Controlled Fusion, Vol. 56, Issue 5 https://doi.org/10.1088/0741-3335/56/5/055003	journal	April 2014
Observation of beta-induced Alfvén Eigenmode in J-TEXT tokamak Liu, Linzi; He, Jiyang; Hu, Qiming Plasma Physics and Controlled Fusion, Vol. 57, Issue 6 https://doi.org/10.1088/0741-3335/57/6/065007	journal	April 2015
Experiment-theory comparison for low frequency BAE modes in the strongly shaped H-1NF stellarator Haskey, S. R.; Blackwell, B. D.; Nührenberg, C. Plasma Physics and Controlled Fusion, Vol. 57, Issue 9 https://doi.org/10.1088/0741-3335/57/9/095011	journal	August 2015
Computation of Alfvèn eigenmode stability and saturation through a reduced fast ion transport model in the TRANSP tokamak transport code Podestà, M.; Gorelenkova, M.; Gorelenkov, N. N. Plasma Physics and Controlled Fusion, Vol. 59, Issue 9 https://doi.org/10.1088/1361-6587/aa7977	journal	July 2017
Progress in modelling fast-ion D-alpha spectra and neutral particle analyzer fluxes using FIDASIM Geiger, B.; Stagner, L.; Heidbrink, W. W. Plasma Physics and Controlled Fusion, Vol. 62, Issue 10 https://doi.org/10.1088/1361-6587/aba8d7	journal	August 2020
Excitation of low frequency Alfven eigenmodes in toroidal plasmas Liu, Yaqi; Lin, Zhihong; Zhang, Huasen Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa7d14	journal	July 2017
Gyrokinetic analysis of low-n shear Alfvén and ion sound wave spectra in a high-beta tokamak plasma Bierwage, Andreas; Lauber, Philipp Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa80fe	journal	September 2017
Analysis of Alfven eigenmode destabilization in DIII-D high poloidal β discharges using a Landau closure model Varela, J.; Spong, D. A.; Garcia, L. Nuclear Fusion, Vol. 58, Issue 7 https://doi.org/10.1088/1741-4326/aac33f	journal	June 2018
Development and verification of a novel scintillator-based, imaging neutral particle analyzer in DIII-D tokamak Du, X. D.; Van Zeeland, M. A.; Heidbrink, W. W. Nuclear Fusion, Vol. 58, Issue 8 https://doi.org/10.1088/1741-4326/aac3a2	journal	June 2018
Alfvén eigenmodes and fast ion transport in negative triangularity DIII-D plasmas Van Zeeland, M. A.; Collins, C. S.; Heidbrink, W. W. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab2488	journal	June 2019
Resolving the fast ion distribution from imaging neutral particle analyzer measurements Du, X. D.; Van Zeeland, M. A.; Heidbrink, W. W. Nuclear Fusion, Vol. 60, Issue 11 https://doi.org/10.1088/1741-4326/ab788f	journal	August 2020
‘BAAE’ instabilities observed without fast ion drive Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E. Nuclear Fusion, Vol. 61, Issue 1 https://doi.org/10.1088/1741-4326/abc4c3	journal	December 2020
Gyrokinetic simulation of low-frequency Alfvénic modes in DIII-D tokamak Choi, G. J.; Liu, P.; Wei, X. S. Nuclear Fusion, Vol. 61, Issue 6 https://doi.org/10.1088/1741-4326/abf0dd	journal	April 2021
Imaging Neutral Particle Analyzer (INPA) measurements of confined fast ions in DIII-D Van Zeeland, M. A.; Du, X. D.; Heidbrink, W. W. Journal of Instrumentation, Vol. 14, Issue 09 https://doi.org/10.1088/1748-0221/14/09/c09027	journal	September 2019
Nonlinear Frequency Oscillation of Alfvén Eigenmodes in Fusion Plasmas Zhang, H. S.; Lin, Z.; Holod, I. Physical Review Letters, Vol. 109, Issue 2 https://doi.org/10.1103/physrevlett.109.025001	journal	July 2012
Observation of beta-induced Alfvén eigenmodes in the DIII-D tokamak Heidbrink, W. W.; Strait, E. J.; Chu, M. S. Physical Review Letters, Vol. 71, Issue 6 https://doi.org/10.1103/physrevlett.71.855	journal	August 1993
Radial structures and nonlinear excitation of geodesic acoustic modes Zonca, F.; Chen, L. EPL (Europhysics Letters), Vol. 83, Issue 3 https://doi.org/10.1209/0295-5075/83/35001	journal	July 2008
Large-Scale Simulation of Energetic Particle Driven Magnetohydrodynamic Instabilities in ITER Plasmas Todo, Yasushi; Bierwage, Andreas Plasma and Fusion Research, Vol. 9, Issue 0 https://doi.org/10.1585/pfr.9.3403068	journal	January 2014

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