[en] The problem of the reactor-tokamak equilibrium system calculation at given configuration of a plasma filament is considered. For its solution the regularization method is applied. The regularization parameters is so selected that the problem solution can be compared as for accuracy with the initial data, determined by plasma parameters. The technique permits to directly determine currents in the coils of this system necessary for retaining in equilibrium the plasma filament with the specified parameters and configuration with regard to uncertainty of initial data. The stability of the obtained solution is ensured in a usual methematical sense as well as in the sense of low sensitivity to the uncertainties of the initial physical data