Safety Factor Profile Control in a Tokamak - Federico Bribiesca Argomedo, Emmanuel Witrant, Christophe Prieur

Safety Factor Profile Control in a Tokamak

Buch | Softcover
XI, 96 Seiten
2013 | 2014
Springer International Publishing (Verlag)
978-3-319-01957-4 (ISBN)
53,49 inkl. MwSt
This book covers construction of an input-to-state-stability-Lyapunov function for the infinite-dimensional system that provides a common base for the development of robustness results, used as a control-Lyapunov function in a Tokamak.

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-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 FactorProfile 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.

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.

Erscheint lt. Verlag 22.11.2013
Reihe/Serie SpringerBriefs in Control, Automation and Robotics
SpringerBriefs in Electrical and Computer Engineering
Zusatzinfo XI, 96 p. 29 illus., 24 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 186 g
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Plasmaphysik
Technik Elektrotechnik / Energietechnik
Schlagworte Boundary Control • Control Problems • Infinite-dimensional Systems • nuclear fusion • Tokamak
ISBN-10 3-319-01957-0 / 3319019570
ISBN-13 978-3-319-01957-4 / 9783319019574
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlagen und Anwendungen

von Reinhold Kleiner; Werner Buckel

Buch | Softcover (2024)
Wiley-VCH (Verlag)
79,90