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Title: Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D

Abstract

DIII-D experiments using new detailed magnetic diagnostics show that linear, ideal magnetohydrodynamics(MHD) theory quantitatively describes the magnetic structure (as measured externally) of three-dimensional (3D) equilibria resulting from applied fields with toroidalmode number n = 1, while a nonlinear solution to ideal MHD force balance, using the VMEC code, requires the inclusion of n ≥ 1 to achieve similar agreement. These tests are carried out near ITER baseline parameters, providing a validated basis on which to exploit 3D fields for plasma control development. Scans of the applied poloidal spectrum and edge safety factor confirm that low-pressure, n = 1 non-axisymmetric tokamak equilibria are determined by a single, dominant, stable eigenmode. However, at higher beta, near the ideal kinkmode stability limit in the absence of a conducting wall, the qualitative features of the 3D structure are observed to vary in a way that is not captured by ideal MHD.

Authors:
 [1];  [2]; ORCiD logo [3];  [2];  [3];  [4];  [3];  [5];  [2];  [6];  [3];  [3];  [2];  [7]; ORCiD logo [2]
  1. Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); General Atomics, San Diego, CA (United States)
  2. General Atomics, San Diego, CA (United States)
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  4. Australian National Univ., Canberra, ACT (Australia)
  5. Columbia Univ., New York, NY (United States)
  6. Culham Science Centre, Abingdon (United Kingdom). Plasma Research Lab.
  7. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); General Atomics, San Diego, CA (United States). DIII-D National Fusion Facility (DIII-D)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1295127
Alternate Identifier(s):
OSTI ID: 1228332; OSTI ID: 1254754; OSTI ID: 1459669
Grant/Contract Number:  
AC05-00OR22725; FC02-04ER54698; AC05-06OR23100; AC02-09CH11466; FG02-04ER54761; AC05-00OR22725.; AC05-00OR23100; FC02-04ER5469
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; Journal Issue: 7; 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; Equilibrium; MHD - Toroidal; Magnetics; Tokamaks

Citation Formats

King, Josh D., Strait, Edward J., Lazerson, Samuel A., Ferraro, Nathaniel M., Logan, Nikolas C., Haskey, Shaun R., Park, Jong -Kyu, Hanson, Jeremy M., Lanctot, Matthew J., Liu, Yueqiang, Nazikian, Raffi, Okabayashi, Michio, Paz-Soldan, Carlos A., Shiraki, Daisuke, and Turnbull, Alan D. Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D. United States: N. p., 2015. Web. doi:10.1063/1.4923017.
King, Josh D., Strait, Edward J., Lazerson, Samuel A., Ferraro, Nathaniel M., Logan, Nikolas C., Haskey, Shaun R., Park, Jong -Kyu, Hanson, Jeremy M., Lanctot, Matthew J., Liu, Yueqiang, Nazikian, Raffi, Okabayashi, Michio, Paz-Soldan, Carlos A., Shiraki, Daisuke, & Turnbull, Alan D. Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D. United States. https://doi.org/10.1063/1.4923017
King, Josh D., Strait, Edward J., Lazerson, Samuel A., Ferraro, Nathaniel M., Logan, Nikolas C., Haskey, Shaun R., Park, Jong -Kyu, Hanson, Jeremy M., Lanctot, Matthew J., Liu, Yueqiang, Nazikian, Raffi, Okabayashi, Michio, Paz-Soldan, Carlos A., Shiraki, Daisuke, and Turnbull, Alan D. Wed . "Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D". United States. https://doi.org/10.1063/1.4923017. https://www.osti.gov/servlets/purl/1295127.
@article{osti_1295127,
title = {Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D},
author = {King, Josh D. and Strait, Edward J. and Lazerson, Samuel A. and Ferraro, Nathaniel M. and Logan, Nikolas C. and Haskey, Shaun R. and Park, Jong -Kyu and Hanson, Jeremy M. and Lanctot, Matthew J. and Liu, Yueqiang and Nazikian, Raffi and Okabayashi, Michio and Paz-Soldan, Carlos A. and Shiraki, Daisuke and Turnbull, Alan D.},
abstractNote = {DIII-D experiments using new detailed magnetic diagnostics show that linear, ideal magnetohydrodynamics(MHD) theory quantitatively describes the magnetic structure (as measured externally) of three-dimensional (3D) equilibria resulting from applied fields with toroidalmode number n = 1, while a nonlinear solution to ideal MHD force balance, using the VMEC code, requires the inclusion of n ≥ 1 to achieve similar agreement. These tests are carried out near ITER baseline parameters, providing a validated basis on which to exploit 3D fields for plasma control development. Scans of the applied poloidal spectrum and edge safety factor confirm that low-pressure, n = 1 non-axisymmetric tokamak equilibria are determined by a single, dominant, stable eigenmode. However, at higher beta, near the ideal kinkmode stability limit in the absence of a conducting wall, the qualitative features of the 3D structure are observed to vary in a way that is not captured by ideal MHD.},
doi = {10.1063/1.4923017},
journal = {Physics of Plasmas},
number = 7,
volume = 22,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 2015},
month = {Wed Jul 01 00:00:00 EDT 2015}
}

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