Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D
Abstract
DIII-D experimental results are reported to demonstrate the potential of physics-model-based safety factor profile control for robust and reproducible sustainment of advanced scenarios. In the absence of feedback control, variability in wall conditions and plasma impurities, as well as drifts due to external disturbances, can limit the reproducibility of discharges with simple pre-programmed scenario trajectories. The control architecture utilized is a feedforward + feedback scheme where the feedforward commands are computed off-line and the feedback commands are computed on-line. In this work, firstly a first-principles-driven (FPD), physics-based model of the q profile and normalized beta (βN) dynamics is embedded into a numerical optimization algorithm to design feedforward actuator trajectories that sheer the plasma through the tokamak operating space to reach a desired stationary target state that is characterized by the achieved q profile and βN. Good agreement between experimental results and simulations demonstrates the accuracy of the models employed for physics-model-based control design. Secondly, a feedback algorithm for q profile control is designed following a FPD approach, and the ability of the controller to achieve and maintain a target q profile evolution is tested in DIII-D high confinement (H-mode) experiments. The controller is shown to be able to effectively controlmore »
- Authors:
-
- Lehigh Univ., Bethlehem, PA (United States)
- Lehigh Univ., Bethlehem, PA (United States); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States)
- General Atomics, San Diego, CA (United States)
- Columbia Univ., New York, NY (United States)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Advanced Research Projects Agency - Energy (ARPA-E)
- OSTI Identifier:
- 1353105
- Alternate Identifier(s):
- OSTI ID: 1238904
- Grant/Contract Number:
- FC02-04ER54698; AC05-00OR23100; FG02-04ER54761; SC0001334; SC0010661
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 55; Journal Issue: 9; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma control; advanced scenario control; model-based control; safety factor profile control
Citation Formats
Barton, Justin E., Boyer, Mark D., Shi, Wenyu, Wehner, W. P., Schuster, Eugenio, Ferron, John R., Walker, Michael L., Humphreys, David A., Luce, Timothy C., Turco, Francesca, Penaflor, B. G., and Johnson, R. D. Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D. United States: N. p., 2015.
Web. doi:10.1088/0029-5515/55/9/093005.
Barton, Justin E., Boyer, Mark D., Shi, Wenyu, Wehner, W. P., Schuster, Eugenio, Ferron, John R., Walker, Michael L., Humphreys, David A., Luce, Timothy C., Turco, Francesca, Penaflor, B. G., & Johnson, R. D. Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D. United States. https://doi.org/10.1088/0029-5515/55/9/093005
Barton, Justin E., Boyer, Mark D., Shi, Wenyu, Wehner, W. P., Schuster, Eugenio, Ferron, John R., Walker, Michael L., Humphreys, David A., Luce, Timothy C., Turco, Francesca, Penaflor, B. G., and Johnson, R. D. Thu .
"Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D". United States. https://doi.org/10.1088/0029-5515/55/9/093005. https://www.osti.gov/servlets/purl/1353105.
@article{osti_1353105,
title = {Physics-model-based nonlinear actuator trajectory optimization and safety factor profile feedback control for advanced scenario development in DIII-D},
author = {Barton, Justin E. and Boyer, Mark D. and Shi, Wenyu and Wehner, W. P. and Schuster, Eugenio and Ferron, John R. and Walker, Michael L. and Humphreys, David A. and Luce, Timothy C. and Turco, Francesca and Penaflor, B. G. and Johnson, R. D.},
abstractNote = {DIII-D experimental results are reported to demonstrate the potential of physics-model-based safety factor profile control for robust and reproducible sustainment of advanced scenarios. In the absence of feedback control, variability in wall conditions and plasma impurities, as well as drifts due to external disturbances, can limit the reproducibility of discharges with simple pre-programmed scenario trajectories. The control architecture utilized is a feedforward + feedback scheme where the feedforward commands are computed off-line and the feedback commands are computed on-line. In this work, firstly a first-principles-driven (FPD), physics-based model of the q profile and normalized beta (βN) dynamics is embedded into a numerical optimization algorithm to design feedforward actuator trajectories that sheer the plasma through the tokamak operating space to reach a desired stationary target state that is characterized by the achieved q profile and βN. Good agreement between experimental results and simulations demonstrates the accuracy of the models employed for physics-model-based control design. Secondly, a feedback algorithm for q profile control is designed following a FPD approach, and the ability of the controller to achieve and maintain a target q profile evolution is tested in DIII-D high confinement (H-mode) experiments. The controller is shown to be able to effectively control the q profile when βN is relatively close to the target, indicating the need for integrated q profile and βN control to further enhance the ability to achieve robust scenario execution. Furthermore, the ability of an integrated q profile + βN feedback controller to track a desired target is demonstrated through simulation.},
doi = {10.1088/0029-5515/55/9/093005},
journal = {Nuclear Fusion},
number = 9,
volume = 55,
place = {United States},
year = {Thu Jul 30 00:00:00 EDT 2015},
month = {Thu Jul 30 00:00:00 EDT 2015}
}
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Works referenced in this record:
Physics of advanced tokamaks
journal, December 1997
- Taylor, T. S.
- Plasma Physics and Controlled Fusion, Vol. 39, Issue 12B
Chapter 6: Steady state operation
journal, June 2007
- Gormezano, C.; Sips, A. C. C.; Luce, T. C.
- Nuclear Fusion, Vol. 47, Issue 6
Advances in the simulation of toroidal gyro‐Landau fluid model turbulence
journal, June 1995
- Waltz, R. E.; Kerbel, G. D.; Milovich, J.
- Physics of Plasmas, Vol. 2, Issue 6
Experimental constraints on transport from dimensionless parameter scaling studies
journal, May 1998
- Petty, C. C.; Luce, T. C.; Baker, D. R.
- Physics of Plasmas, Vol. 5, Issue 5
Optimization of DIII-D advanced tokamak discharges with respect to the β limit
journal, May 2005
- Ferron, J. R.; Casper, T. A.; Doyle, E. J.
- Physics of Plasmas, Vol. 12, Issue 5
Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007
- Hender, T. C.; Wesley, J. C.; Bialek, J.
- Nuclear Fusion, Vol. 47, Issue 6
Towards model-based current profile control at DIII-D
journal, October 2007
- Ou, Y.; Luce, T. C.; Schuster, E.
- Fusion Engineering and Design, Vol. 82, Issue 5-14
A control-oriented model of the current profile in tokamak plasma
journal, June 2007
- Witrant, E.; Joffrin, E.; Brémond, S.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 7
Real-time physics-model-based simulation of the current density profile in tokamak plasmas
journal, August 2011
- Felici, F.; Sauter, O.; Coda, S.
- Nuclear Fusion, Vol. 51, Issue 8
Non-linear model-based optimization of actuator trajectories for tokamak plasma profile control
journal, January 2012
- Felici, F.; Sauter, O.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 2
Real-time control of the q -profile in JET for steady state advanced tokamak operation
journal, August 2003
- Moreau, D.; Crisanti, F.; Litaudon, X.
- Nuclear Fusion, Vol. 43, Issue 9
A two-time-scale dynamic-model approach for magnetic and kinetic profile control in advanced tokamak scenarios on JET
journal, August 2008
- Moreau, D.; Mazon, D.; Ariola, M.
- Nuclear Fusion, Vol. 48, Issue 10
Multivariable robust control of the plasma rotational transform profile for advanced tokamak scenarios in DIII-D
conference, June 2012
- Wenyu Shi, ; Wehner, W.; Barton, J.
- 2012 American Control Conference - ACC 2012, 2012 American Control Conference (ACC)
Optimal feedback control of the poloidal magnetic flux profile in the DIII-D tokamak based on identified plasma response models
conference, June 2012
- Wehner, W.; Schuster, E.
- 2012 American Control Conference - ACC 2012, 2012 American Control Conference (ACC)
A two-time-scale model-based combined magnetic and kinetic control system for advanced tokamak scenarios on DIII-D
conference, December 2012
- Shi, Wenyu; Wehner, William; Barton, Justin
- 2012 IEEE 51st Annual Conference on Decision and Control (CDC), 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
PTRANSP simulation and experimental test of a robust current profile and βN controller for off-axis current drive scenarios in the DIII-D tokamak
conference, June 2013
- Wenyu Shi, ; Wehner, William; Barton, Justin
- 2013 American Control Conference (ACC)
Integrated magnetic and kinetic control of advanced tokamak plasmas on DIII-D based on data-driven models
journal, May 2013
- Moreau, D.; Walker, M. L.; Ferron, J. R.
- Nuclear Fusion, Vol. 53, Issue 6
On the stability of receding horizon control of bilinear parabolic PDE systems
conference, December 2010
- Ou, Yongsheng; Schuster, Eugenio
- 2010 49th IEEE Conference on Decision and Control (CDC)
Robust Control Design for the Poloidal Magnetic Flux Profile Evolution in the Presence of Model Uncertainties
journal, March 2010
- Yongsheng Ou, ; Schuster, E.
- IEEE Transactions on Plasma Science, Vol. 38, Issue 3
Optimal Tracking Control of Current Profile in Tokamaks
journal, March 2011
- Ou, Y.; Xu, C.; Schuster, E.
- IEEE Transactions on Control Systems Technology, Vol. 19, Issue 2
Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction
journal, February 2011
- Xu, Chao; Ou, Yongsheng; Schuster, Eugenio
- Automatica, Vol. 47, Issue 2
Receding-horizon optimal control of the current profile evolution during the ramp-up phase of a tokamak discharge
journal, January 2011
- Ou, Y.; Xu, C.; Schuster, E.
- Control Engineering Practice, Vol. 19, Issue 1
Sliding mode stabilization of the current profile in Tokamak plasmas
conference, December 2011
- Gaye, Oumar; Moulay, Emmanuel; Bremond, Sylvain
- 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011)
Bootstrap current optimization in Tokamaks using sum-of-squares polynomials
conference, December 2012
- Gahlawat, A.; Witrant, E.; Peet, M. M.
- 2012 IEEE 51st Annual Conference on Decision and Control (CDC), 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
Lyapunov-based distributed control of the safety-factor profile in a tokamak plasma
journal, February 2013
- Argomedo, Federico Bribiesca; Witrant, Emmanuel; Prieur, Christophe
- Nuclear Fusion, Vol. 53, Issue 3
Toroidal current profile control during low confinement mode plasma discharges in DIII-D via first-principles-driven model-based robust control synthesis
journal, November 2012
- Barton, Justin E.; Boyer, Mark D.; Shi, Wenyu
- Nuclear Fusion, Vol. 52, Issue 12
First-principles-driven model-based current profile control for the DIII-D tokamak via LQI optimal control
journal, September 2013
- Boyer, Mark D.; Barton, Justin; Schuster, Eugenio
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 10
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
Chapter 1: Overview and summary
journal, December 1999
- Editors, ITER Physics Basis; Co-Chairs, ITER Physics Expert Group Chairs an; Unit, ITER Joint Central Team and Physics
- Nuclear Fusion, Vol. 39, Issue 12
Energy confinement scaling in Tokamaks: some implications of recent experiments with Ohmic and strong auxiliary heating
journal, January 1984
- Goldston, Robert J.
- Plasma Physics and Controlled Fusion, Vol. 26, Issue 1A
Generation of Localized Noninductive Current by Electron Cyclotron Waves on the DIII-D Tokamak
journal, November 1999
- Luce, T. C.; Lin-Liu, Y. R.; Harvey, R. W.
- Physical Review Letters, Vol. 83, Issue 22
Power threshold for neutral beam current drive
journal, August 1990
- Politzer, P. A.; Porter, G. D.
- Nuclear Fusion, Vol. 30, Issue 8
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
Power requirement for accessing the H-mode in ITER
journal, July 2008
- Martin, Y. R.; Takizuka, T.; Group, the ITPA CDBM H-mode Threshold Data
- Journal of Physics: Conference Series, Vol. 123
Isotope scaling of the H mode power threshold on JET
journal, March 1999
- Righi, E.; Bartlett, D. V.; Christiansen, J. P.
- Nuclear Fusion, Vol. 39, Issue 3
A new look at density limits in tokamaks
journal, December 1988
- Greenwald, M.; Terry, J. L.; Wolfe, S. M.
- Nuclear Fusion, Vol. 28, Issue 12
Real time equilibrium reconstruction for tokamak discharge control
journal, July 1998
- Ferron, J. R.; Walker, M. L.; Lao, L. L.
- Nuclear Fusion, Vol. 38, Issue 7
Experimental and Simulation Testing of Physics-model-based Safety Factor Profile and Internal Energy Feedback Controllers in DIII-D Advanced Tokamak Scenarios
journal, January 2014
- Barton, Justin E.; Boyer, Mark D.; Shi, Wenyu
- IFAC Proceedings Volumes, Vol. 47, Issue 3
Closed-loop control of the safety factor profile in the TCV tokamak
conference, December 2014
- Barton, Justin E.; Schuster, Eugenio; Felici, Federico
- 2014 IEEE 53rd Annual Conference on Decision and Control (CDC), 53rd IEEE Conference on Decision and Control
Robust control of the safety factor profile and stored energy evolutions in high performance burning plasma scenarios in the ITER tokamak
conference, December 2013
- Barton, Justin E.; Besseghir, Karim; Lister, Jo
- 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), 52nd IEEE Conference on Decision and Control
Works referencing / citing this record:
Simulation of profile evolution from ramp-up to ramp-down and optimization of tokamak plasma termination with the RAPTOR code
journal, October 2017
- Teplukhina, A. A.; Sauter, O.; Felici, F.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 12
Experimental validation of a Lyapunov-based controller for the plasma safety factor and plasma pressure in the TCV tokamak
journal, March 2018
- Mavkov, B.; Witrant, E.; Prieur, C.
- Nuclear Fusion, Vol. 58, Issue 5
Real-time capable modeling of neutral beam injection on NSTX-U using neural networks
journal, March 2019
- Boyer, M. D.; Kaye, S.; Erickson, K.
- Nuclear Fusion, Vol. 59, Issue 5