Toroidal current control in the problem of plasma equilibrium evolution

The results of application of automatic control methods to the problem of the given total current sustainment in toroidal plasma are presented. Plasma current control is performed mainly by solenoid with the use of electromagnetic inductance effect. The mathematical problem is formulated, the methods and developed software are described, and the solutions of test and real problems are given. Comparison of experimental and numerical data allows drawing a conclusion on the nature of plasma conductivity in spherical tokamaks.