Abstract
The work was carried out on the basis of a topological model and the necessary parameters of the steady state were determined when specifying nodal loads with active and reactive powers. Equations of state of the electric power system are obtained with respect to the transformation ratios of transformers from the standpoint of the synthesis of voltage modes. An algorithm has been developed for the implementation of the formation and solutions of nonlinear equations of the transformation ratios of power transformers with an estimate of the tap changer control range that provides the desired voltage for a given network node. The calculations were carried out using the author's program and in the Mathcad Professional package using the example of a section of a real 220 kV network of Astana REC JSC. It is shown that when controlling the transformation ratios of a part of the supply network nodes, the operating parameters of other uncontrolled nodes remain the same as in a predetermined steady state.