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Title: Investigation of mode activity in NBI-heated experiments of Wendelstein 7-X

Abstract

The 2018 operation phase (OP 1.2b) of the stellarator Wendelstein 7-X (W7-X) included, for the first time, neutral beam injection (NBI) to heat the plasma. Since the injection geometry at W7-X is not parallel, this generates both passing and trapped fast particles. During longer phases of NBI injection, with the primary purpose to study the heating efficiency of this system, Alfvén eigenmodes (AEs) were observed by a number of diagnostics, including the phase contrast imaging (PCI) system, the magnetic pick-up coils (Mirnov coils), and the soft x-ray multi-camera tomography system (XMCTS). Alfvén eigenmodes are of great interest for future fusion reactors as it has been shown that the resonant interaction of fast ions with self-excited AEs can lead to enhanced transport of fast ions and potentially to energy losses. This is especially true for so-called gap-modes, Alfvén eigenmodes with frequencies in gaps of the continuous spectrum, since they lack continuum damping. These modes are commonly known to be excited by fast ions, but other destabilizing mechanisms, e.g. the electron-pressure gradient are also possible. In this article we present a first analysis of the experimentally observed frequencies from the theoretical side. The calculation of shear Alfvén wave continua for selected casesmore » and the assignment of observed frequencies to the gaps of the continuous spectra are presented. Using the ideal-MHD code CKA (Könies A. 2007 10th IAEA TM on Energetic Particles in Magnetic Confinement System), we find gap modes that match the experimental measurements in terms of the observed frequencies. We emphasize the crucial roles played by the coupling of sound and Alfvén waves as well as of the Doppler shift arising as a consequence of the radial electric field in W7-X. We employ the perturbative gyrokinetic code CKA-EUTERPE (Feh´er 2013 Simulation of the interaction between Alfv´en waves and fast particles), using a slowing-down distribution function for the fast ions as calculated by the Monte-Carlo particle following code ASCOT (Hirvijoki et al 2014 Comput. Phys. Commun. 185 1310–21) to assess the fast-ion drive. Here we find that the fast-ion drive is insufficient to overcome the background-plasma damping. The fact that unstable modes were observed experimentally may point to problems with the modelling or indicate the existence of other destabilizing mechanisms, e.g. associated with the electron-pressure gradient (Windisch et al 2017 Plasma Phys. Control. Fusion 59 105002) that sensitively depend on the profiles of the background plasma.« less

Authors:
 [1]; ORCiD logo [2];  [1]; ORCiD logo [1];  [1];  [1]; ORCiD logo [1]; ORCiD logo [1];  [1];  [3];  [1];  [1];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [4];  [1]; ORCiD logo [5];  [1];  [1] more »; ORCiD logo [1];  [1];  [1] « less
  1. Max Planck Institute for Plasma Physics, Greifswald (Germany)
  2. Max Planck Institute for Plasma Physics, Greifswald (Germany); Aalto Univ., Otaniemi (Finland)
  3. Kharkov Institute of Physics and Technology (Ukraine)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
  5. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Contributing Org.:
Wendelstein 7-X team
OSTI Identifier:
1851878
Grant/Contract Number:  
SC0014229
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 60; Journal Issue: 11; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Physics

Citation Formats

Slaby, C., Äkäslompolo, Simppa, Borchardt, M., Geiger, Joachim, Kleiber, R., Könies, A., Bozhenkov, Sergey, Brandt, Christian, Dinklage, A., Dreval, M., Ford, O., Fuchert, G., Hartmann, D., Hirsch, Matthias, Höfel, Udo, Huang, Zhouji, McNeely, P., Pablant, Novimir, Rahbarnia, K., Rust, N., Schilling, Jonathan, von Stechow, A., and Thomsen, H. Investigation of mode activity in NBI-heated experiments of Wendelstein 7-X. United States: N. p., 2020. Web. doi:10.1088/1741-4326/ab7c28.
Slaby, C., Äkäslompolo, Simppa, Borchardt, M., Geiger, Joachim, Kleiber, R., Könies, A., Bozhenkov, Sergey, Brandt, Christian, Dinklage, A., Dreval, M., Ford, O., Fuchert, G., Hartmann, D., Hirsch, Matthias, Höfel, Udo, Huang, Zhouji, McNeely, P., Pablant, Novimir, Rahbarnia, K., Rust, N., Schilling, Jonathan, von Stechow, A., & Thomsen, H. Investigation of mode activity in NBI-heated experiments of Wendelstein 7-X. United States. https://doi.org/10.1088/1741-4326/ab7c28
Slaby, C., Äkäslompolo, Simppa, Borchardt, M., Geiger, Joachim, Kleiber, R., Könies, A., Bozhenkov, Sergey, Brandt, Christian, Dinklage, A., Dreval, M., Ford, O., Fuchert, G., Hartmann, D., Hirsch, Matthias, Höfel, Udo, Huang, Zhouji, McNeely, P., Pablant, Novimir, Rahbarnia, K., Rust, N., Schilling, Jonathan, von Stechow, A., and Thomsen, H. Tue . "Investigation of mode activity in NBI-heated experiments of Wendelstein 7-X". United States. https://doi.org/10.1088/1741-4326/ab7c28. https://www.osti.gov/servlets/purl/1851878.
@article{osti_1851878,
title = {Investigation of mode activity in NBI-heated experiments of Wendelstein 7-X},
author = {Slaby, C. and Äkäslompolo, Simppa and Borchardt, M. and Geiger, Joachim and Kleiber, R. and Könies, A. and Bozhenkov, Sergey and Brandt, Christian and Dinklage, A. and Dreval, M. and Ford, O. and Fuchert, G. and Hartmann, D. and Hirsch, Matthias and Höfel, Udo and Huang, Zhouji and McNeely, P. and Pablant, Novimir and Rahbarnia, K. and Rust, N. and Schilling, Jonathan and von Stechow, A. and Thomsen, H.},
abstractNote = {The 2018 operation phase (OP 1.2b) of the stellarator Wendelstein 7-X (W7-X) included, for the first time, neutral beam injection (NBI) to heat the plasma. Since the injection geometry at W7-X is not parallel, this generates both passing and trapped fast particles. During longer phases of NBI injection, with the primary purpose to study the heating efficiency of this system, Alfvén eigenmodes (AEs) were observed by a number of diagnostics, including the phase contrast imaging (PCI) system, the magnetic pick-up coils (Mirnov coils), and the soft x-ray multi-camera tomography system (XMCTS). Alfvén eigenmodes are of great interest for future fusion reactors as it has been shown that the resonant interaction of fast ions with self-excited AEs can lead to enhanced transport of fast ions and potentially to energy losses. This is especially true for so-called gap-modes, Alfvén eigenmodes with frequencies in gaps of the continuous spectrum, since they lack continuum damping. These modes are commonly known to be excited by fast ions, but other destabilizing mechanisms, e.g. the electron-pressure gradient are also possible. In this article we present a first analysis of the experimentally observed frequencies from the theoretical side. The calculation of shear Alfvén wave continua for selected cases and the assignment of observed frequencies to the gaps of the continuous spectra are presented. Using the ideal-MHD code CKA (Könies A. 2007 10th IAEA TM on Energetic Particles in Magnetic Confinement System), we find gap modes that match the experimental measurements in terms of the observed frequencies. We emphasize the crucial roles played by the coupling of sound and Alfvén waves as well as of the Doppler shift arising as a consequence of the radial electric field in W7-X. We employ the perturbative gyrokinetic code CKA-EUTERPE (Feh´er 2013 Simulation of the interaction between Alfv´en waves and fast particles), using a slowing-down distribution function for the fast ions as calculated by the Monte-Carlo particle following code ASCOT (Hirvijoki et al 2014 Comput. Phys. Commun. 185 1310–21) to assess the fast-ion drive. Here we find that the fast-ion drive is insufficient to overcome the background-plasma damping. The fact that unstable modes were observed experimentally may point to problems with the modelling or indicate the existence of other destabilizing mechanisms, e.g. associated with the electron-pressure gradient (Windisch et al 2017 Plasma Phys. Control. Fusion 59 105002) that sensitively depend on the profiles of the background plasma.},
doi = {10.1088/1741-4326/ab7c28},
journal = {Nuclear Fusion},
number = 11,
volume = 60,
place = {United States},
year = {Tue Aug 25 00:00:00 EDT 2020},
month = {Tue Aug 25 00:00:00 EDT 2020}
}

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