Optimisation of electromagnetic components of a parametrical voltage stabilizer with magnetic connections between the nonlinear coil and a ballast element on the minimum volume of an electromagnetic element Is resulted. Suitability for optimisation of criterion of equality of losses in core and device windings is considered. Analytical expressions for restrictions in the form of density of a current and an admissible overheat are received. The comparative estimation of use of active materials in the given device and the optimum transformer is made. KEYWORDS: a ferromagnetic element, approximation, core volume, current density, a magnetic induction, an overheat, losses in core, losses in the windings, full electromagnetic power, criterion function, restrictions, thermal balance.