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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:
Journal Article: 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 = {Mon Apr 24 00:00:00 EDT 2017},
month = {Mon Apr 24 00:00:00 EDT 2017}
}

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  • The high-performance operational goals of NSTX-U will require development of advanced feedback control algorithms, including control of ßN and the safety factor profile. In this work, a novel approach to simultaneously controlling ßN and the value of the safety factor on the magnetic axis, q0, through manipulation of the plasma boundary shape and total beam power, is proposed. Simulations of the proposed scheme show promising results and motivate future experimental implementation and eventual integration into a more complex current profile control scheme planned to include actuation of individual beam powers, density, and loop voltage. As part of this work, amore » flexible framework for closed loop simulations within the high-fidelity code TRANSP was developed. The framework, used here to identify control-design-oriented models and to tune and test the proposed controller, exploits many of the predictive capabilities of TRANSP and provides a means for performing control calculations based on user-supplied data (controller matrices, target waveforms, etc.). The flexible framework should enable high-fidelity testing of a variety of control algorithms, thereby reducing the amount of expensive experimental time needed to implement new control algorithms on NSTX-U and other devices.« less
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  • In this study, a model-based feedback system is presented enabling the simultaneous control of the stored energy through β n and the toroidal rotation profile of the plasma in National Spherical Torus eXperiment Upgrade device. Actuation is obtained using the momentum from six injected neutral beams and the neoclassical toroidal viscosity generated by applying three-dimensional magnetic fields. Based on a model of the momentum diffusion and torque balance, a feedback controller is designed and tested in closed-loop simulations using TRANSP, a time dependent transport analysis code, in predictive mode. Promising results for the ongoing experimental implementation of controllers are obtained.