Electronic Resource

Safety Factor Profile Control in a Tokamak

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Penilaian

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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 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.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000398	EB0000957	621.484 Arg s	Central Library (OPAC)	Available

Detail Information

Series Title

SpringerBriefs in Electrical and Computer Engineering

Call Number

621.484 Arg s

Publisher

Switzerland : Springer Cham., 2013

Collation

xi, 96p.: Ill.

Language

English

ISBN/ISSN

978-3-319-01958-1

Classification

621.484

Content Type

Ebook

Media Type

-

Carrier Type

online resource

Edition

1

Subject(s)

Tokamaks--Safety measures

Specific Detail Info

-

Statement of Responsibility

RTS

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