Safety Factor Profile Control in a Tokamak by Federico Bribiesca ArgomedoSafety Factor Profile Control in a Tokamak by Federico Bribiesca Argomedo

Safety Factor Profile Control in a Tokamak

byFederico Bribiesca Argomedo, Emmanuel Witrant, Christophe Prieur

Paperback | November 22, 2013

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Control of the Safety Factor Profile in a Tokamakuses 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-stability Lyapunov 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 Tokamakwill 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.

Title:Safety Factor Profile Control in a TokamakFormat:PaperbackDimensions:96 pagesPublished:November 22, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319019570

ISBN - 13:9783319019574

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Table of Contents

Introduction.- 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.