DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: High-β equilibrium and ballooning stability of the low aspect ratio CNT stellarator

Abstract

In the paper, the existence and ballooning-stability of low aspect ratio stellarator equilibria is predicted for the Columbia Neutral Torus (CNT) with the aid of 3D numerical tools. In addition to having a low aspect ratio, CNT is characterized by a low magnetic field and small plasma volume. Also, highly overdense plasmas were recently heated in CNT by means of microwaves. These characteristics suggest that CNT might attain relatively high values of plasma beta and thus be of use in the experimental study of stellarator stability to high-beta instabilities such as ballooning modes. As a first step in that direction, here the ballooning stability limit is found numerically. Depending on the particular magnetic configuration we expect volume-averaged β limits in the range 0.9%–3.0%, and possibly higher, and observe indications of a second region of ballooning stability. As the aspect ratio is reduced, stability is found to increase in some configurations and decrease in others. Energy-balance estimates using stellarator scaling laws indicate that the lower β limit may be attainable with overdense heating at powers of 40 to 100 kW. The present study serves the additional purpose of testing VMEC and other stellarator codes at high values of β and atmore » low aspect ratios. For this reason, the study was carried out both for free boundary, for maximum fidelity to experiment, as well as with a fixed boundary, as a numerical test.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Columbia Univ., New York, NY (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1358669
Report Number(s):
PPPL-5382
Journal ID: ISSN 1070-664X
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 4; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; energy confinement; density limit; modes; plasmas; instabilities; w7-as

Citation Formats

Hammond, K. C., Lazerson, S. A., and Volpe, F. A. High-β equilibrium and ballooning stability of the low aspect ratio CNT stellarator. United States: N. p., 2017. Web. doi:10.1063/1.4979284.
Hammond, K. C., Lazerson, S. A., & Volpe, F. A. High-β equilibrium and ballooning stability of the low aspect ratio CNT stellarator. United States. https://doi.org/10.1063/1.4979284
Hammond, K. C., Lazerson, S. A., and Volpe, F. A. Fri . "High-β equilibrium and ballooning stability of the low aspect ratio CNT stellarator". United States. https://doi.org/10.1063/1.4979284. https://www.osti.gov/servlets/purl/1358669.
@article{osti_1358669,
title = {High-β equilibrium and ballooning stability of the low aspect ratio CNT stellarator},
author = {Hammond, K. C. and Lazerson, S. A. and Volpe, F. A.},
abstractNote = {In the paper, the existence and ballooning-stability of low aspect ratio stellarator equilibria is predicted for the Columbia Neutral Torus (CNT) with the aid of 3D numerical tools. In addition to having a low aspect ratio, CNT is characterized by a low magnetic field and small plasma volume. Also, highly overdense plasmas were recently heated in CNT by means of microwaves. These characteristics suggest that CNT might attain relatively high values of plasma beta and thus be of use in the experimental study of stellarator stability to high-beta instabilities such as ballooning modes. As a first step in that direction, here the ballooning stability limit is found numerically. Depending on the particular magnetic configuration we expect volume-averaged β limits in the range 0.9%–3.0%, and possibly higher, and observe indications of a second region of ballooning stability. As the aspect ratio is reduced, stability is found to increase in some configurations and decrease in others. Energy-balance estimates using stellarator scaling laws indicate that the lower β limit may be attainable with overdense heating at powers of 40 to 100 kW. The present study serves the additional purpose of testing VMEC and other stellarator codes at high values of β and at low aspect ratios. For this reason, the study was carried out both for free boundary, for maximum fidelity to experiment, as well as with a fixed boundary, as a numerical test.},
doi = {10.1063/1.4979284},
journal = {Physics of Plasmas},
number = 4,
volume = 24,
place = {United States},
year = {Fri Apr 07 00:00:00 EDT 2017},
month = {Fri Apr 07 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Bootstrap current and parallel viscosity in the low collisionality regime in toroidal plasmas
journal, January 1989

  • Shaing, K. C.; Crume, E. C.; Tolliver, J. S.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 1
  • DOI: 10.1063/1.859093

Experiments close to the beta-limit in W7-AS
journal, November 2003


Significance of MHD Effects in Stellarator Confinement
journal, August 2006

  • Weller, A.; Sakakibara, S.; Watanabe, K. Y.
  • Fusion Science and Technology, Vol. 50, Issue 2
  • DOI: 10.13182/FST06-A1231

Marginal stability boundaries for infinite- n ballooning modes in a quasiaxisymmetric stellarator
journal, December 2003

  • Hudson, S. R.; Hegna, C. C.
  • Physics of Plasmas, Vol. 10, Issue 12
  • DOI: 10.1063/1.1622669

Spherical stellarator with plasma current
journal, August 1996


Survey of magnetohydrodynamic instabilities in the advanced stellarator Wendelstein 7-AS
journal, March 2001

  • Weller, A.; Anton, M.; Geiger, J.
  • Physics of Plasmas, Vol. 8, Issue 3
  • DOI: 10.1063/1.1346633

Criteria for second stability for ballooning modes in stellarators
journal, September 2004

  • Hudson, S. R.; Hegna, C. C.
  • Physics of Plasmas, Vol. 11, Issue 9
  • DOI: 10.1063/1.1779227

Drift-resistive-inertial ballooning modes in quasihelical stellarators
journal, February 2010

  • Rafiq, T.; Hegna, C. C.; Callen, J. D.
  • Physics of Plasmas, Vol. 17, Issue 2
  • DOI: 10.1063/1.3291061

The second region of stability against ballooning modes
journal, April 1981


On the stability of Mercier and ballooning modes in stellarator configurations
journal, May 1998

  • Hegna, C. C.; Nakajima, N.
  • Physics of Plasmas, Vol. 5, Issue 5
  • DOI: 10.1063/1.872793

Physics issues in the design of high-beta, low-aspect-ratio stellarator experiments
journal, May 2000

  • Neilson, G. H.; Reiman, A. H.; Zarnstorff, M. C.
  • Physics of Plasmas, Vol. 7, Issue 5
  • DOI: 10.1063/1.874015

The Helias reactor HSR4/18
journal, December 2001


First experimental studies of the physics of plasmas of arbitrary degree of neutrality
journal, November 2012


Bolometer tomography at the density limit of the HDH mode in the W7-AS stellarator
journal, August 2003


Three-dimensional free boundary calculations using a spectral Green's function method
journal, December 1986


Studies of the neoclassical transport for CNT
journal, November 2007

  • Seiwald, B.; Nemov, V. V.; Sunn Pedersen, T.
  • Plasma Physics and Controlled Fusion, Vol. 49, Issue 12
  • DOI: 10.1088/0741-3335/49/12/009

Experimental Confirmation of Stable, Small-Debye-Length, Pure-Electron-Plasma Equilibria in a Stellarator
journal, September 2006


Characterization of energy confinement in net-current free plasmas using the extended International Stellarator Database
journal, November 2005


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


Review of stellarator/heliotron design issues towards MFE DEMO
journal, December 2010


Experimental demonstration of a compact stellarator magnetic trap using four circular coils
journal, January 2006

  • Pedersen, T. Sunn; Kremer, J. P.; Lefrancois, R. G.
  • Physics of Plasmas, Vol. 13, Issue 1
  • DOI: 10.1063/1.2149313

The Columbia Nonneutral Torus: A New Experiment to Confine Nonneutral and Positron-Electron Plasmas in a Stellarator
journal, July 2004

  • Pedersen, Thomas Sunn; Boozer, Allen H.; Kremer, Jason Paul
  • Fusion Science and Technology, Vol. 46, Issue 1
  • DOI: 10.13182/FST04-A556

Achievement of Record β in the START Spherical Tokamak
journal, May 1998


Toroidally localized and nonlocalized ballooning instabilities in a stellarator
journal, August 1998

  • Cuthbert, P.; Lewandowski, J. L. V.; Gardner, H. J.
  • Physics of Plasmas, Vol. 5, Issue 8
  • DOI: 10.1063/1.873014

COBRA: An Optimized Code for Fast Analysis of Ideal Ballooning Stability of Three-Dimensional Magnetic Equilibria
journal, July 2000

  • Sanchez, R.; Hirshman, S. P.; Whitson, J. C.
  • Journal of Computational Physics, Vol. 161, Issue 2
  • DOI: 10.1006/jcph.2000.6514

Characteristics of MHD instabilities limiting the beta value in LHD
journal, July 2015


Experimental and numerical study of error fields in the CNT stellarator
journal, May 2016


Onion-peeling inversion of stellarator images
journal, August 2016

  • Hammond, K. C.; Diaz-Pacheco, R. R.; Kornbluth, Y.
  • Review of Scientific Instruments, Vol. 87, Issue 11
  • DOI: 10.1063/1.4960309

Scalings of energy confinement and density limit in stellarator/heliotron devices
journal, January 1990


Steady-state radiative cooling rates for low-density, high-temperature plasmas
journal, November 1977


Works referencing / citing this record:

Large vacuum flux surfaces generated by tilted planar coils
journal, May 2019

  • Li, Jessica L.; Austin, Jacob; Hammond, Kenneth C.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 7
  • DOI: 10.1088/1361-6587/ab1715

Large vacuum flux surfaces generated by tilted planar coils
text, January 2018


Large vacuum flux surfaces generated by tilted planar coils
journal, May 2019

  • Li, Jessica L.; Austin, Jacob; Hammond, Kenneth C.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 7
  • DOI: 10.1088/1361-6587/ab1715