This study is an investigation and design of a feed-back control system to control the plasma current and its horizontal position of a Tokamak power reactor machine under operational conditions. The task is to keep these parameters as close as possible to their desired values.
First section of this thesis will introduce the problem in general and will give an orientation of plasma and control currents. The dynamics of the system is described in detail in section II. The state variable technique has been used for the analysis of the system. The state equations and output equations have been derived in section III. Section IV is devoted to optimization of the problem and a suitable control law is found for the system inputs. The solution of optimization problem of this section requires solving an algebraic Riccati equation of the order n in general, which results n(n + 1)/2 non-linear equations with n(n + 1)/2 unknowns. This is indeed a difficult problem for n > 3. An alternative new method is used to find the Riccati matrix. This is explained in detail in appendix I. Feedback circuits and power supplies are discussed in sections V and VI respectively.
Finally a CSMP simulation of the model is given in section VII to determine the validity of the system.