The research is aimed at developing algorithms for the construction of automated systems to control active components of the electrical network. The construction of automated systems intended for the control of electric power systems requires high-speed mathematical tools. The method applied in the research to describe the object of control is based on the universal approach to the mathematical modelling of nonlinear dynamic system of a black-box type represented by the Volterra polynomials of the N-th degree. This makes it possible for the input and output characteristics of the object to obtain an adequate and fast mathematical description. Results of the computational experiment demonstrate the applicability of the mathematical tool to the control of active components of the intelligent power system.