An analysis of the currently used algorithms and programs for assessing the static stability reserve of electric power systems (EPS) is carried out, which make it possible to build the boundaries of stability and calculate the sensitivity coefficient of all generators of the power system, which speeds up the process of selecting the settings of automatic excitation regulators (AER) and increases the visibility of the calculation results. On the example of the well-known in the theory of automatic regulation "Butterworth's rule", a qualitative analysis of the transient process in the control system in the presence of optimal stochastic AER is given and it is proved that the method of synthesis of optimal stochastic systems allows, under conditions of real limitations, to more accurately and qualitatively build regulators that provide the necessary stabilization accuracy. Keywords: static stability, electric power system, transient process, vibrational stability, constant voltage, aperiodic stability, automatic excitation regulator.