Numerical method for reconstruction the toroidal plasma boundary
Abstract—Regularized filaments method is proposed for reconstruction
problem of the toroidal plasma boundary fromexternal magnetic measurements. Efficiency of proposed method was studied on the example of the analytical solution of the direct problem of plasma equilibrium in different experimental conditions. Method applied for numerical simulations of magnetic diagnostics system on the tokamak T-15M.
Definition of extreme magnetic surface on the basis of experimentally measured external magnetic fields is one of the major problems of magnetic plasma diagnostics in tokamak devices. This task is formulated as an inverse MHDequilibrium problem for determination of boundary magnetic surface and is described as 2D elliptic differential equation of Grad–Shafranov  with additional Cauchy conditions on the measurements contour