SpringerBriefs in Control, Automation and Robotics

Safety Factor Profile Control in a Tokamak

Authors: Bribiesca Argomedo, Federico, Witrant, Emmanuel, Prieur, Christophe

  • Complete study of the safety factor profile control in a tokamak provides a single reference for the reader
  • Use of several well-established control techniques and comparison of these enabling the reader to select the most appropriate
  • Written by experts in the field
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About this book

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.

Table of contents (6 chapters)

  • Introduction

    Bribiesca Argomedo, Federico (et al.)

    Pages 1-10

  • Mathematical Model of the Safety Factor and┬áControl Problem Formulation

    Bribiesca Argomedo, Federico (et al.)

    Pages 11-22

  • A Polytopic LPV Approach for Finite-Dimensional Control

    Bribiesca Argomedo, Federico (et al.)

    Pages 23-32

  • Infinite-Dimensional Control-Lyapunov Function

    Bribiesca Argomedo, Federico (et al.)

    Pages 33-59

  • Controller Implementation

    Bribiesca Argomedo, Federico (et al.)

    Pages 61-84

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-01958-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-01957-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Safety Factor Profile Control in a Tokamak
Authors
Series Title
SpringerBriefs in Control, Automation and Robotics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-01958-1
DOI
10.1007/978-3-319-01958-1
Softcover ISBN
978-3-319-01957-4
Series ISSN
2192-6786
Edition Number
1
Number of Pages
XI, 96
Number of Illustrations and Tables
5 b/w illustrations, 24 illustrations in colour
Topics