Mathematical Model and Numerical Simulation of Equilibrium Plasma Configurations in ‘‘Threeleaf’’ Magnetic Traps

In this paper, the results of numerical studies of plasma configurations confined in equilibrium state by a magnetic field in the trap ‘‘Threeleaf’’ are presented. This trap belongs to the promising class of magnetic traps ‘‘Galatea’’ with electric current conductors immersed into the plasma and has a toroidal form with three conductors. The mathematical model is constructed in terms of numerical solution of boundary value problems with the well-known Grad–Shafranov differential equation. Geometry of the trap and its quantitative characteristics dependent on the problem physical parameters are researched. These results are compared with the calculations of traps close in geometry. The compliance of symmetry types of the trap considered and the corresponding mathematical problem solved is highlighted.