$$\mathscr{H}_2$$ optimal control techniques for resistive wall mode feedback in tokamaks
Abstract
DIII-D experiments show that a new, advanced algorithm improves resistive wall mode (RWM) stability control in high performance discharges using external coils. DIII-D can excite strong, locked or nearly locked external kink modes whose rotation frequencies and growth rates are on the order of the magnetic ux di usion time of the vacuum vessel wall. The VALEN RWM model has been used to gauge the e ectiveness of RWM control algorithms in tokamaks. Simulations and experiments have shown that modern control techniques like Linear Quadratic Gaussian (LQG) control will perform better, using 77% less current, than classical techniques when using control coils external to DIII-D's vacuum vessel. Experiments were conducted to develop control of a rotating n = 1 perturbation using an LQG controller derived from VALEN and external coils. Feedback using this LQG algorithm outperformed a proportional gain only controller in these perturbation experiments over a range of frequencies. Results from high N experiments also show that advanced feedback techniques using external control coils may be as e ective as internal control coil feedback using classical control techniques.
- Authors:
-
- Univ. of California, San Diego, CA (United States); columb
- Columbia Univ., New York, NY (United States)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)
- OSTI Identifier:
- 1425033
- Grant/Contract Number:
- FC02-04ER54698
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 58; Journal Issue: 4; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Clement, Mitchell, Hanson, Jeremy, Bialek, Jim, and Navratil, Gerald. $\mathscr{H}_2$ optimal control techniques for resistive wall mode feedback in tokamaks. United States: N. p., 2018.
Web. doi:10.1088/1741-4326/aaaecd.
Clement, Mitchell, Hanson, Jeremy, Bialek, Jim, & Navratil, Gerald. $\mathscr{H}_2$ optimal control techniques for resistive wall mode feedback in tokamaks. United States. https://doi.org/10.1088/1741-4326/aaaecd
Clement, Mitchell, Hanson, Jeremy, Bialek, Jim, and Navratil, Gerald. Wed .
"$\mathscr{H}_2$ optimal control techniques for resistive wall mode feedback in tokamaks". United States. https://doi.org/10.1088/1741-4326/aaaecd. https://www.osti.gov/servlets/purl/1425033.
@article{osti_1425033,
title = {$\mathscr{H}_2$ optimal control techniques for resistive wall mode feedback in tokamaks},
author = {Clement, Mitchell and Hanson, Jeremy and Bialek, Jim and Navratil, Gerald},
abstractNote = {DIII-D experiments show that a new, advanced algorithm improves resistive wall mode (RWM) stability control in high performance discharges using external coils. DIII-D can excite strong, locked or nearly locked external kink modes whose rotation frequencies and growth rates are on the order of the magnetic ux di usion time of the vacuum vessel wall. The VALEN RWM model has been used to gauge the e ectiveness of RWM control algorithms in tokamaks. Simulations and experiments have shown that modern control techniques like Linear Quadratic Gaussian (LQG) control will perform better, using 77% less current, than classical techniques when using control coils external to DIII-D's vacuum vessel. Experiments were conducted to develop control of a rotating n = 1 perturbation using an LQG controller derived from VALEN and external coils. Feedback using this LQG algorithm outperformed a proportional gain only controller in these perturbation experiments over a range of frequencies. Results from high N experiments also show that advanced feedback techniques using external control coils may be as e ective as internal control coil feedback using classical control techniques.},
doi = {10.1088/1741-4326/aaaecd},
journal = {Nuclear Fusion},
number = 4,
volume = 58,
place = {United States},
year = {2018},
month = {2}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
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:
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
journal, June 1963
- Marquardt, Donald W.
- Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2
Validation of conducting wall models using magnetic measurements
journal, August 2016
- Hanson, J. M.; Bialek, J.; Turco, F.
- Nuclear Fusion, Vol. 56, Issue 10
Controllability and Reduced State Space Models for Feedback Control of the Resistive Wall Kink Mode
conference, December 2006
- Maurer, David A.; Bialek, James; Navratil, Gerald A.
- Proceedings of the 45th IEEE Conference on Decision and Control
A method for the solution of certain non-linear problems in least squares
journal, January 1944
- Levenberg, Kenneth
- Quarterly of Applied Mathematics, Vol. 2, Issue 2
Survey of disruption causes at JET
journal, April 2011
- de Vries, P. C.; Johnson, M. F.; Alper, B.
- Nuclear Fusion, Vol. 51, Issue 5
Experimental and theoretical studies of active control of resistive wall mode growth in the EXTRAP T2R reversed-field pinch
journal, June 2005
- Drake, J. R.; Brunsell, P. R.; Yadikin, D.
- Nuclear Fusion, Vol. 45, Issue 7
Modeling of resistive wall mode and its control in experiments and ITER
journal, May 2006
- Liu, Yueqiang; Chu, M. S.; Garofalo, A. M.
- Physics of Plasmas, Vol. 13, Issue 5
Evidence for the Importance of Trapped Particle Resonances for Resistive Wall Mode Stability in High Beta Tokamak Plasmas
journal, May 2011
- Reimerdes, H.; Berkery, J. W.; Lanctot, M. J.
- Physical Review Letters, Vol. 106, Issue 21
Enhanced ITER resistive wall mode feedback performance using optimal control techniques
journal, August 2007
- Katsuro-Hopkins, O.; Bialek, J.; Maurer, D. A.
- Nuclear Fusion, Vol. 47, Issue 9
Active feedback stabilization of the resistive wall mode on the DIII-D device
journal, May 2001
- Okabayashi, M.; Bialek, J.; Chance, M. S.
- Physics of Plasmas, Vol. 8, Issue 5
Spatial and temporal analysis of DIII-D 3D magnetic diagnostic data
journal, August 2016
- Strait, E. J.; King, J. D.; Hanson, J. M.
- Review of Scientific Instruments, Vol. 87, Issue 11
Principal component analysis in linear systems: Controllability, observability, and model reduction
journal, February 1981
- Moore, B.
- IEEE Transactions on Automatic Control, Vol. 26, Issue 1
An upgrade of the magnetic diagnostic system of the DIII-D tokamak for non-axisymmetric measurements
journal, August 2014
- King, J. D.; Strait, E. J.; Boivin, R. L.
- Review of Scientific Instruments, Vol. 85, Issue 8
Modeling of active control of external magnetohydrodynamic instabilities
journal, May 2001
- Bialek, James; Boozer, Allen H.; Mauel, M. E.
- Physics of Plasmas, Vol. 8, Issue 5
Active Stabilization of the Resistive-Wall Mode in High-Beta, Low-Rotation Plasmas
journal, July 2006
- Sabbagh, S. A.; Bell, R. E.; Menard, J. E.
- Physical Review Letters, Vol. 97, Issue 4
Magnetic control of magnetohydrodynamic instabilities in tokamaks
journal, November 2014
- Strait, E. J.
- Physics of Plasmas, Vol. 22, Issue 2
Robust Control of Resistive Wall Modes in Tokamak Plasmas using µ-synthesis
journal, January 2008
- Dalessio, J.; Schuster, E.; Humphreys, D. A.
- IFAC Proceedings Volumes, Vol. 41, Issue 2
Resistive wall mode stabilization of high-β plasmas in the National Spherical Torus Experiment
journal, May 2005
- Sontag, Aaron C.; Sabbagh, S. A.; Zhu, W.
- Physics of Plasmas, Vol. 12, Issue 5
The role of kinetic effects, including plasma rotation and energetic particles, in resistive wall mode stability
journal, August 2010
- Berkery, J. W.; Sabbagh, S. A.; Reimerdes, H.
- Physics of Plasmas, Vol. 17, Issue 8
Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria
journal, March 2010
- Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M.
- Physics of Plasmas, Vol. 17, Issue 3
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
journal, February 1987
- Laub, A.; Heath, M.; Paige, C.
- IEEE Transactions on Automatic Control, Vol. 32, Issue 2
In situ “artificial plasma” calibration of tokamak magnetic sensors
journal, June 2013
- Shiraki, D.; Levesque, J. P.; Bialek, J.
- Review of Scientific Instruments, Vol. 84, Issue 6
Measurement of the Resistive-Wall-Mode Stability in a Rotating Plasma Using Active MHD Spectroscopy
journal, September 2004
- Reimerdes, H.; Chu, M. S.; Garofalo, A. M.
- Physical Review Letters, Vol. 93, Issue 13
Resistive wall mode stabilization with internal feedback coils in DIII-D
journal, May 2004
- Strait, E. J.; Bialek, J. M.; Bogatu, I. N.
- Physics of Plasmas, Vol. 11, Issue 5
Kinetic damping of resistive wall modes in ITER
journal, May 2012
- Chapman, I. T.; Liu, Y. Q.; Asunta, O.
- Physics of Plasmas, Vol. 19, Issue 5
Control of the resistive wall mode in advanced tokamak plasmas on DIII-D
journal, August 2000
- Garofalo, A. M.; Strait, E. J.; Bialek, J. M.
- Nuclear Fusion, Vol. 40, Issue 8
The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma
journal, July 2016
- Glasser, A. H.
- Physics of Plasmas, Vol. 23, Issue 7
Overview of RFX-mod results
journal, September 2009
- Martin, P.; Apolloni, L.; Puiatti, M. E.
- Nuclear Fusion, Vol. 49, Issue 10
Datasets of seed mucilage traits for Arabidopsis thaliana natural accessions with atypical outer mucilage
journal, March 2021
- Cambert, Mireille; Berger, Adeline; Sallé, Christine
- Scientific Data, Vol. 8, Issue 1
Feedback equations for the wall modes of a rotating plasma
journal, August 1999
- Boozer, Allen H.
- Physics of Plasmas, Vol. 6, Issue 8
On the general theory of control systems
journal, December 1959
- Kalman, R.
- IRE Transactions on Automatic Control, Vol. 4, Issue 3
On the general theory of control systems
journal, August 1960
- Kalman, R. E.
- IFAC Proceedings Volumes, Vol. 1, Issue 1
GPU-based optimal control for RWM feedback in tokamaks
journal, November 2017
- Clement, Mitchell; Hanson, Jeremy; Bialek, Jim
- Control Engineering Practice, Vol. 68
Model-based dynamic resistive wall mode identification and feedback control in the DIII-D tokamak
journal, June 2006
- In, Y.; Kim, J. S.; Edgell, D. H.
- Physics of Plasmas, Vol. 13, Issue 6
Resistive Wall Mode in Collisionless Quasistationary Plasmas
journal, September 2004
- Hu, Bo; Betti, R.
- Physical Review Letters, Vol. 93, Issue 10
The ARIES-AT advanced tokamak, Advanced technology fusion power plant
journal, January 2006
- Najmabadi, Farrokh; Abdou, A.; Bromberg, L.
- Fusion Engineering and Design, Vol. 80, Issue 1-4
Optimizing stability, transport, and divertor operation through plasma shaping for steady-state scenario development in DIII-D
journal, May 2009
- Holcomb, C. T.; Ferron, J. R.; Luce, T. C.
- Physics of Plasmas, Vol. 16, Issue 5
Works referencing / citing this record:
Progress in disruption prevention for ITER
journal, June 2019
- Strait, E. J.; Barr, J. L.; Baruzzo, M.
- Nuclear Fusion, Vol. 59, Issue 11