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Title: Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP

Abstract

This paper examines a method for real-time control of non-inductively sustained scenarios in NSTX-U by using TRANSP, a time-dependent integrated modeling code for prediction and interpretive analysis of tokamak experimental data, as a simulator. The actuators considered for control in this work are the six neutral beam sources and the plasma boundary shape. To understand the response of the plasma current, stored energy, and central safety factor to these actuators and to enable systematic design of control algorithms, simulations were run in which the actuators were modulated and a linearized dynamic response model was generated. A multi-variable model-based control scheme that accounts for the coupling and slow dynamics of the system while mitigating the effect of actuator limitations was designed and simulated. Simulations show that modest changes in the outer gap and heating power can improve the response time of the system, reject perturbations, and track target values of the controlled values.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1357603
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 57; Journal Issue: 6; Related Information: The digital data for this publication can be found in: http://arks.princeton.edu/ark:/88435/dsp01bc386m71v; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Plasma scenarios; Tokamaks; Control-oriented modeling; Actuator; Constraints; Linear-quadratic-integral control; Anti-windup; Torus experiment nstx; Low-aspect-ratio; Spherical tokamak

Citation Formats

Boyer, M. D., Andre, R. G., Gates, D. A., Gerhardt, S. P., Menard, J. E., and Poli, F. M. Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP. United States: N. p., 2017. Web. doi:10.1088/1741-4326/aa68e9.
Boyer, M. D., Andre, R. G., Gates, D. A., Gerhardt, S. P., Menard, J. E., & Poli, F. M. Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP. United States. doi:10.1088/1741-4326/aa68e9.
Boyer, M. D., Andre, R. G., Gates, D. A., Gerhardt, S. P., Menard, J. E., and Poli, F. M. Mon . "Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP". United States. doi:10.1088/1741-4326/aa68e9. https://www.osti.gov/servlets/purl/1357603.
@article{osti_1357603,
title = {Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP},
author = {Boyer, M. D. and Andre, R. G. and Gates, D. A. and Gerhardt, S. P. and Menard, J. E. and Poli, F. M.},
abstractNote = {This paper examines a method for real-time control of non-inductively sustained scenarios in NSTX-U by using TRANSP, a time-dependent integrated modeling code for prediction and interpretive analysis of tokamak experimental data, as a simulator. The actuators considered for control in this work are the six neutral beam sources and the plasma boundary shape. To understand the response of the plasma current, stored energy, and central safety factor to these actuators and to enable systematic design of control algorithms, simulations were run in which the actuators were modulated and a linearized dynamic response model was generated. A multi-variable model-based control scheme that accounts for the coupling and slow dynamics of the system while mitigating the effect of actuator limitations was designed and simulated. Simulations show that modest changes in the outer gap and heating power can improve the response time of the system, reject perturbations, and track target values of the controlled values.},
doi = {10.1088/1741-4326/aa68e9},
journal = {Nuclear Fusion},
number = 6,
volume = 57,
place = {United States},
year = {2017},
month = {4}
}

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Cited by: 3 works
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Works referenced in this record:

Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP
dataset, January 2017

  • Boyer, M.; Andre, R.; Gates, D.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1562090

Overview of the physics and engineering design of NSTX upgrade
journal, July 2012


Exploration of spherical torus physics in the NSTX device
journal, March 2000


First results from MAST
journal, October 2001


Fusion nuclear science facilities and pilot plants based on the spherical tokamak
journal, August 2016


Prospects for pilot plants based on the tokamak, spherical tokamak and stellarator
journal, August 2011


An overview of recent physics results from NSTX
journal, March 2015


Energy confinement scaling in the low aspect ratio National Spherical Torus Experiment (NSTX)
journal, August 2006


Scaling of Electron and Ion Transport in the High-Power Spherical Torus NSTX
journal, April 2007


Collisionality and safety factor scalings of H-mode energy transport in the MAST spherical tokamak
journal, June 2011


Collective fast ion instability-induced losses in National Spherical Tokamak Experiment
journal, May 2006

  • Fredrickson, E. D.; Bell, R. E.; Darrow, D. S.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2178788

Recent experiments on Alfvén eigenmodes in MAST
journal, June 2008


Experimental studies on fast-ion transport by Alfvén wave avalanches on the National Spherical Torus Experiment
journal, May 2009

  • Podestà, M.; Heidbrink, W. W.; Liu, D.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3080724

Progress towards steady state at low aspect ratio on the National Spherical Torus Experiment (NSTX)
journal, September 2007


Stability at high performance in the MAST spherical tokamak
journal, August 2004


Macroscopic stability of high β MAST plasmas
journal, June 2011


NSTX-U Control System Upgrades
journal, June 2014


Initial operation of the NSTX-Upgrade real-time velocity diagnostic
journal, November 2016


Modeling and control of plasma rotation for NSTX using neoclassical toroidal viscosity and neutral beam injection
journal, February 2016


Simultaneous feedback control of plasma rotation and stored energy on NSTX-U using neoclassical toroidal viscosity and neutral beam injection
journal, May 2017

  • Goumiri, I. R.; Rowley, C. W.; Sabbagh, S. A.
  • Physics of Plasmas, Vol. 24, Issue 5
  • DOI: 10.1063/1.4976853

Plasma shape control on the National Spherical Torus Experiment (NSTX) using real-time equilibrium reconstruction
journal, December 2005


Implementation of β N Control in the National Spherical Torus Experiment
journal, January 2012

  • Gerhardt, S. P.; Mastrovito, D.; Bell, M. G.
  • Fusion Science and Technology, Vol. 61, Issue 1
  • DOI: 10.13182/FST12-A13336

Plasma modelling results and shape control improvements for NSTX
journal, November 2011


The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
journal, June 2004

  • Pankin, Alexei; McCune, Douglas; Andre, Robert
  • Computer Physics Communications, Vol. 159, Issue 3
  • DOI: 10.1016/j.cpc.2003.11.002

Chapter 2: Plasma confinement and transport
journal, December 1999

  • Transport, ITER Physics Expert Group on Confin; Database, ITER Physics Expert Group on Confin; Editors, ITER Physics Basis
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/302

First-principles-driven model-based current profile control for the DIII-D tokamak via LQI optimal control
journal, September 2013


Receding-horizon optimal control of the current profile evolution during the ramp-up phase of a tokamak discharge
journal, January 2011


Validation of plasma current profile model predictive control in tokamaks via simulations
journal, October 2011


A Tutorial on Modern Anti-windup Design
journal, January 2009

  • Galeani, Sergio; Tarbouriech, Sophie; Turner, Matthew
  • European Journal of Control, Vol. 15, Issue 3-4
  • DOI: 10.3166/ejc.15.418-440

    Works referencing / citing this record:

    First results from MAST
    journal, October 2001


    An overview of recent physics results from NSTX
    journal, March 2015


    Experimental studies on fast-ion transport by Alfvén wave avalanches on the National Spherical Torus Experiment
    journal, May 2009

    • Podestà, M.; Heidbrink, W. W.; Liu, D.
    • Physics of Plasmas, Vol. 16, Issue 5
    • DOI: 10.1063/1.3080724

    First-principles-driven model-based current profile control for the DIII-D tokamak via LQI optimal control
    journal, September 2013


    Collective fast ion instability-induced losses in National Spherical Tokamak Experiment
    journal, May 2006

    • Fredrickson, E. D.; Bell, R. E.; Darrow, D. S.
    • Physics of Plasmas, Vol. 13, Issue 5
    • DOI: 10.1063/1.2178788

    Collisionality and safety factor scalings of H-mode energy transport in the MAST spherical tokamak
    journal, June 2011


    Macroscopic stability of high β MAST plasmas
    journal, June 2011


    Overview of the physics and engineering design of NSTX upgrade
    journal, July 2012


    Validation of plasma current profile model predictive control in tokamaks via simulations
    journal, October 2011


    Plasma shape control on the National Spherical Torus Experiment (NSTX) using real-time equilibrium reconstruction
    journal, December 2005


    Prospects for pilot plants based on the tokamak, spherical tokamak and stellarator
    journal, August 2011


    The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
    journal, June 2004

    • Pankin, Alexei; McCune, Douglas; Andre, Robert
    • Computer Physics Communications, Vol. 159, Issue 3
    • DOI: 10.1016/j.cpc.2003.11.002

    Stability at high performance in the MAST spherical tokamak
    journal, August 2004


    Simultaneous feedback control of plasma rotation and stored energy on NSTX-U using neoclassical toroidal viscosity and neutral beam injection
    journal, May 2017

    • Goumiri, I. R.; Rowley, C. W.; Sabbagh, S. A.
    • Physics of Plasmas, Vol. 24, Issue 5
    • DOI: 10.1063/1.4976853

    Energy confinement scaling in the low aspect ratio National Spherical Torus Experiment (NSTX)
    journal, August 2006


    Fusion nuclear science facilities and pilot plants based on the spherical tokamak
    journal, August 2016


    Recent experiments on Alfvén eigenmodes in MAST
    journal, June 2008


    Initial operation of the NSTX-Upgrade real-time velocity diagnostic
    journal, November 2016


    Modeling and control of plasma rotation for NSTX using neoclassical toroidal viscosity and neutral beam injection
    journal, February 2016


    Plasma modelling results and shape control improvements for NSTX
    journal, November 2011


    NSTX-U Control System Upgrades
    journal, June 2014


    Receding-horizon optimal control of the current profile evolution during the ramp-up phase of a tokamak discharge
    journal, January 2011


    Progress towards steady state at low aspect ratio on the National Spherical Torus Experiment (NSTX)
    journal, September 2007


    A Tutorial on Modern Anti-windup Design
    journal, January 2009

    • Galeani, Sergio; Tarbouriech, Sophie; Turner, Matthew
    • European Journal of Control, Vol. 15, Issue 3-4
    • DOI: 10.3166/ejc.15.418-440

    Real-time capable modeling of neutral beam injection on NSTX-U using neural networks
    journal, March 2019


    Chapter 2: Plasma confinement and transport
    journal, December 1999

    • Transport, ITER Physics Expert Group on Confin; Database, ITER Physics Expert Group on Confin; Editors, ITER Physics Basis
    • Nuclear Fusion, Vol. 39, Issue 12
    • DOI: 10.1088/0029-5515/39/12/302

    Feedback control design for non-inductively sustained scenarios in NSTX-U using TRANSP
    dataset, January 2017

    • Boyer, M.; Andre, R.; Gates, D.
    • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
    • DOI: 10.11578/1562090

    Real-time capable modeling of neutral beam injection on NSTX-U using neural networks
    journal, March 2019