Equilibrium reconstruction of DIII-D plasmas using predictive modeling of the pressure profile
Abstract
New workflows have been developed for predictive modeling of magnetohydrodynamic (MHD) equilibrium in tokamak plasmas. The goal of this work is to predict the MHD equilibrium in tokamak discharges without having measurements of the kinetic profiles. The workflows include a cold start tool, which constructs all the profiles and power flows needed by transport codes; a Grad–Shafranov equilibrium solver; and various codes for the sources and sinks. For validation purposes, a database of DIII-D tokamak discharges has been constructed that is comprised of scans in the plasma current, toroidal magnetic field, and triangularity. Initial efforts focused on developing a workflow utilizing an empirically derived pressure model tuned to DIII-D discharges with monotonic safety factor profiles. This workflow shows good agreement with experimental kinetic equilibrium calculations, but is limited in that it is a single fluid (equal ion and electron temperatures) model and lacks H-mode pedestal predictions. The best agreement with the H-mode database is obtained using a theory-based workflow utilizing pressure profile predictions from a coupled TGLF turbulent transport and EPED pedestal models together with external magnetics and Motional Stark Effect (MSE) data to construct the equilibrium. Here, we obtain an average root mean square error of 5.1% in themore »
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1871041
- Grant/Contract Number:
- FG02-95ER54309; FC02-04ER54698
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Name: Physics of Plasmas Journal Volume: 29 Journal Issue: 6; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Kinsey, J. E., Lao, L. L., Meneghini, O., Candy, J., Snyder, P. B., and Staebler, G. M. Equilibrium reconstruction of DIII-D plasmas using predictive modeling of the pressure profile. United States: N. p., 2022.
Web. doi:10.1063/5.0078935.
Kinsey, J. E., Lao, L. L., Meneghini, O., Candy, J., Snyder, P. B., & Staebler, G. M. Equilibrium reconstruction of DIII-D plasmas using predictive modeling of the pressure profile. United States. https://doi.org/10.1063/5.0078935
Kinsey, J. E., Lao, L. L., Meneghini, O., Candy, J., Snyder, P. B., and Staebler, G. M. Fri .
"Equilibrium reconstruction of DIII-D plasmas using predictive modeling of the pressure profile". United States. https://doi.org/10.1063/5.0078935.
@article{osti_1871041,
title = {Equilibrium reconstruction of DIII-D plasmas using predictive modeling of the pressure profile},
author = {Kinsey, J. E. and Lao, L. L. and Meneghini, O. and Candy, J. and Snyder, P. B. and Staebler, G. M.},
abstractNote = {New workflows have been developed for predictive modeling of magnetohydrodynamic (MHD) equilibrium in tokamak plasmas. The goal of this work is to predict the MHD equilibrium in tokamak discharges without having measurements of the kinetic profiles. The workflows include a cold start tool, which constructs all the profiles and power flows needed by transport codes; a Grad–Shafranov equilibrium solver; and various codes for the sources and sinks. For validation purposes, a database of DIII-D tokamak discharges has been constructed that is comprised of scans in the plasma current, toroidal magnetic field, and triangularity. Initial efforts focused on developing a workflow utilizing an empirically derived pressure model tuned to DIII-D discharges with monotonic safety factor profiles. This workflow shows good agreement with experimental kinetic equilibrium calculations, but is limited in that it is a single fluid (equal ion and electron temperatures) model and lacks H-mode pedestal predictions. The best agreement with the H-mode database is obtained using a theory-based workflow utilizing pressure profile predictions from a coupled TGLF turbulent transport and EPED pedestal models together with external magnetics and Motional Stark Effect (MSE) data to construct the equilibrium. Here, we obtain an average root mean square error of 5.1% in the safety factor profile when comparing the predicted and experimental kinetic equilibrium. We also find good agreement with the plasma stored energy, internal inductance, and pressure profiles. Including MSE data in the theory-based workflow results in noticeably improved agreement with the q-profiles in high triangularity discharges in comparison with the results obtained with magnetic data only. The predictive equilibrium workflow is expected to have wide applications in experimental planning, between-shot analysis, and reactor studies.},
doi = {10.1063/5.0078935},
journal = {Physics of Plasmas},
number = 6,
volume = 29,
place = {United States},
year = {Fri Jun 03 00:00:00 EDT 2022},
month = {Fri Jun 03 00:00:00 EDT 2022}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/5.0078935
https://doi.org/10.1063/5.0078935
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Integrated modeling applications for tokamak experiments with OMFIT
journal, July 2015
- Meneghini, O.; Smith, S. P.; Lao, L. L.
- Nuclear Fusion, Vol. 55, Issue 8
Equilibrium analysis of current profiles in tokamaks
journal, June 1990
- Lao, L. L.; Ferron, J. R.; Groebner, R. J.
- Nuclear Fusion, Vol. 30, Issue 6
GPU-optimized fast plasma equilibrium reconstruction in fine grids for real-time control and data analysis
journal, June 2020
- Huang, Y.; Luo, Z. P.; Xiao, B. J.
- Nuclear Fusion, Vol. 60, Issue 7
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model
journal, August 2011
- Snyder, P. B.; Groebner, R. J.; Hughes, J. W.
- Nuclear Fusion, Vol. 51, Issue 10
Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime
journal, July 1999
- Sauter, O.; Angioni, C.; Lin-Liu, Y. R.
- Physics of Plasmas, Vol. 6, Issue 7
The International Multi-Tokamak Profile Database
journal, December 2000
- Group:, The ITER 1D Modelling Working; Boucher, D.; Connor, J. W.
- Nuclear Fusion, Vol. 40, Issue 12
VMOMS — A computer code for finding moment solutions to the Grad-Shafranov equation
journal, August 1982
- Lao, L. L.; Wieland, R. M.; Houlberg, W. A.
- Computer Physics Communications, Vol. 27, Issue 2
The first transport code simulations using the trapped gyro-Landau-fluid model
journal, May 2008
- Kinsey, J. E.; Staebler, G. M.; Waltz, R. E.
- Physics of Plasmas, Vol. 15, Issue 5
Progress towards a predictive model for pedestal height in DIII-D
journal, July 2009
- Groebner, R. J.; Leonard, A. W.; Snyder, P. B.
- Nuclear Fusion, Vol. 49, Issue 8
Sensitivity of transport and stability to the current profile in steady-state scenario plasmas in DIII-D
journal, December 2012
- Turco, F.; Holcomb, C. T.; Ferron, J. R.
- Physics of Plasmas, Vol. 19, Issue 12
Erratum: “Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime” [Phys. Plasmas 6 , 2834 (1999)]
journal, December 2002
- Sauter, O.; Angioni, C.; Lin-Liu, Y. R.
- Physics of Plasmas, Vol. 9, Issue 12
An Eulerian method for the solution of the multi-species drift-kinetic equation
journal, June 2009
- Belli, E. A.; Candy, J.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 7
Predictions of the near edge transport shortfall in DIII-D L-mode plasmas using the trapped gyro-Landau-fluid model
journal, January 2015
- Kinsey, J. E.; Staebler, G. M.; Candy, J.
- Physics of Plasmas, Vol. 22, Issue 1
MHD Equilibrium Reconstruction in the DIII-D Tokamak
journal, October 2005
- Lao, L. L.; John, H. E. St.; Peng, Q.
- Fusion Science and Technology, Vol. 48, Issue 2
Self-consistent core-pedestal transport simulations with neural network accelerated models
journal, July 2017
- Meneghini, O.; Smith, S. P.; Snyder, P. B.
- Nuclear Fusion, Vol. 57, Issue 8
Variational moment solutions to the Grad–Shafranov equation
journal, January 1981
- Lao, L. L.
- Physics of Fluids, Vol. 24, Issue 8
ITER predictions using the GYRO verified and experimentally validated trapped gyro-Landau fluid transport model
journal, June 2011
- Kinsey, J. E.; Staebler, G. M.; Candy, J.
- Nuclear Fusion, Vol. 51, Issue 8
Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008
- Belli, E. A.; Candy, J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 9
First demonstration of real-time kinetic equilibrium reconstruction on TCV by coupling LIUQE and RAPTOR
journal, May 2020
- Carpanese, F.; Felici, F.; Galperti, C.
- Nuclear Fusion, Vol. 60, Issue 6
CAKE: Consistent Automatic Kinetic Equilibrium reconstruction
journal, February 2021
- Xing, Z. A.; Eldon, D.; Nelson, A. O.
- Fusion Engineering and Design, Vol. 163
Development and validation of a predictive model for the pedestal height
journal, May 2009
- Snyder, P. B.; Groebner, R. J.; Leonard, A. W.
- Physics of Plasmas, Vol. 16, Issue 5
A theory-based transport model with comprehensive physics
journal, May 2007
- Staebler, G. M.; Kinsey, J. E.; Waltz, R. E.
- Physics of Plasmas, Vol. 14, Issue 5
Theory of plasma transport in toroidal confinement systems
journal, April 1976
- Hinton, F. L.; Hazeltine, R. D.
- Reviews of Modern Physics, Vol. 48, Issue 2
Dimensionless size scaling of intrinsic rotation in DIII-D
journal, August 2016
- deGrassie, J. S.; Solomon, W. M.; Rice, J. E.
- Physics of Plasmas, Vol. 23, Issue 8
Predict-first experimental analysis using automated and integrated magnetohydrodynamic modeling
journal, May 2018
- Lyons, B. C.; Paz-Soldan, C.; Meneghini, O.
- Physics of Plasmas, Vol. 25, Issue 5
ITER L mode confinement database
journal, September 1997
- Kaye, S. M.; Greenwald, M.; Stroth, U.
- Nuclear Fusion, Vol. 37, Issue 9