A Tokamak is an experimental device whose purpose is to confine plasma in a magnetic field in such a way as to control the nuclear fusion of atoms of low mass. The subject of this book is the modelling, numerical simulation and optimal control of equilibrium of the plasma in a Tokamak.In the first five chapters the author looks at the stationary problem of axisymmetric equilibrium of the plasma. In particular, he studies the modelling and numerical simulation of this problem, the mathematical existence of a solution for a simplified model, and the identification and static control of the boundary of the plasma. The last two chapters treat the evolution of the time-scale of thermal diffusion in the plasma, and look at the problem of stability and dynamic control of displacements of the plasma. The author compares the algorithms available for the numerical solution of these problems for the different types of Tokamak in use or under development.
|TAILLE DU FICHIER||8.17 MB|
|FICHIER||NUMERICAL SIMULATION AND OPTIMAL CONTROL IN PLASMA PHYSICS. With Applications to Tokamaks.pdf|
Sep 5, 2018 ... Hence, numerical methods for MHD equilibria are also fundamental for fusion engineering applications. We rely here on a finite element method on composite meshes for the simulation of axisymmetric equilibria in tokamaks, torus-shaped ... The related optimal control problem for tuning plasma equilibria ... Therefore, tokamak operation may benefit from advanced control laws ... for the proposed state space system based on lumped parameter simulations; this ... for reactor application need to achieve high fusion gain by controlling plasma ... of the numerical model that will be used to control the plasma internal inductance.