Safety factor profile control in a tokamak [electronic resource] / Federico Bribiesca Argomedo, Emmanuel Witrant, Christophe Prieur.
Argomedo, Federico Bribiesca, author.; Witrant, Emmanuel, author.; Prieur, Christophe, author.
2014
TK9204
Available Online

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Title Safety factor profile control in a tokamak [electronic resource] / Federico Bribiesca Argomedo, Emmanuel Witrant, Christophe Prieur.
Author Argomedo, Federico Bribiesca, author.
ISBN 9783319019581 electronic book
3319019589 electronic book
9783319019574
3319019570
DOI https://doi.org/10.1007/978-3-319-01958-1
Published Cham : Springer, 2014.
Language English
Description 1 online resource.
Other Standard Identifiers 10.1007/978-3-319-01958-1 doi
Call Number TK9204
Dewey Decimal Classification 621.484
Summary Control of the Safety Factor Profile in a Tokamak uses Lyapunov techniques to address a challenging problem for which even the simplest physically relevant models are represented by nonlinear, time-dependent, partial differential equations (PDEs). This is because of the spatiotemporal dynamics of transport phenomena (magnetic flux, heat, densities, etc.) in the anisotropic plasma medium. Robustness considerations are ubiquitous in the analysis and control design since direct measurements on the magnetic flux are impossible (its estimation relies on virtual sensors) and large uncertainties remain in the coupling between the plasma particles and the radio-frequency waves (distributed inputs). The Brief begins with a presentation of the reference dynamical model and continues by developing a Lyapunov function for the discretized system (in a polytopic linear-parameter-varying formulation). The limitations of this finite-dimensional approach motivate new developments in the infinite-dimensional framework. The text then tackles the construction of an input-to-state-stabilityLyapunov function for the infinite-dimensional system that handles the medium anisotropy and provides a common basis for analytical robustness results. This function is used as a control-Lyapunov function and allows the amplitude and nonlinear shape constraints in the control action to be dealt with. Finally, the Brief addresses important application- and implementation-specific concerns. In particular, the coupling of the PDE and the finite-dimensional subsystem representing the evolution of the boundary condition (magnetic coils) and the introduction of profile-reconstruction delays in the control loop (induced by solving a 2-D inverse problem for computing the magnetic flux) is analyzed. Simulation results are presented for various operation scenarios on Tore Supra (simulated with METIS) and on TCV (simulated with RAPTOR). Control of the Safety Factor Profile in a Tokamak will be of interest to both academic and industrially-based researchers interested in nuclear energy and plasma-containment control systems, and graduate students in nuclear and control engineering. .
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Witrant, Emmanuel, author.
Prieur, Christophe, author.
Series SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
Available in Other Form Safety factor profile control in a tokamak
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Mathematical model of the safety factor and control problem formulation
A polytopic LPV approach for finite-dimensional control
Infinite-dimensional Control
Lyapunov Function
Controller implementation.

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