Inverse problems of plasma discharge control in a tokamak with iron core

A mathematical model has been developed to calculate the discharge scenario and program regime in the tokamak with taking into account the nonlinear behavior of the iron core. The model includes the solution of two-dimensional equilibrium problems, and the evolution of the integral parameters of the plasma is described by the Kirchhoff equations. An effective numerical algorithm is proposed that allows one to solve the incorrect inverse equilibrium problem when holding currents are found for a given geometry and plasma parameters to ensure this equilibrium. On the example of the tokamak T-15, the equilibria and the program regime are calculated.