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P. 268

Chapter 8





             Plasma Control System




             Valerij A. Belyakov, Andrej A. Kavin
             JSC D.V. Efremov Scientific Research Institute of Electrophysical Apparatus,
             Saint Petersburg, Russia

               Chapter Outline
               8.1  Introduction         247     8.6.2  Plasma Transport Model
               8.2  Scope of the Control System       at Start-Up Phase   268
                  Design Problem         248  8.7  Correction of Error Fields   270
               8.3  Basic Design Methodology   249  8.7.1  Effect of Error Fields
               8.4  Mathematical Modelling of         on Plasma Processes   270
                  Electromagnetic Processes   251  8.7.2  Field Perturbation
                  8.4.1  Derivation of Linear         Harmonic Analysis   271
                       Models            251     8.7.3  ITER Correction Coils   273
                  8.4.2  Non-linear Modelling   258  8.8  Plasma Column Position
               8.5  Analytical Synthesis and     and Shape Reconstruction
                  Control System Optimisation   260  Based on Magnetic
                  8.5.1  Basic Concept   260     Measurements           273
                  8.5.2  Problem Generalisation  261  8.8.1  Basic Principles   273
               8.6  Plasma Start-Up Phase   266  8.8.2  Reconstruction
                  8.6.1  Dynamics of Tokamak          Methods           276
                       Electromagnetic        References                278
                       Processes         266



             8.1  INTRODUCTION
             This chapter deals with the optimisation design of the plasma position, shape
             and current control system at different phases of discharge. It presents deriva-
             tion of the plasma linear models and feedback control algorithms. The methods
             of the nonlinear simulation of plasma control system with the free-boundary
             codes and features of the simulation of the initial phase of discharge are de-
             scribed. The application scope of such models is estimated.
                The methods discussed here allow for the evaluation of passive plasma sta-
             bilisation effectiveness, give the possibilities for optimising tokamak design
             and synthesis of the controllers and specify requirements for the poloidal field
             coils’ power supply systems.


             Fundamentals of Magnetic Thermonuclear Reactor Design. http://dx.doi.org/10.1016/B978-0-08-102470-6.00008-1
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