The increasing complexity of power energy devices poses new challenges for designers, and the solutions depend on the efficiency and adequacy of computer modeling of electromagnetic processes in real circuits of power energy devices with the required accuracy. Using known methods for constructing equivalent circuits, it is possible to obtain equivalent circuits of power energy devices. However, a high number of nodes of equivalent circuits (hence, a high order of systems of differential equations) often does not provide solving the analysis problems with the required accuracy and with time constraints which requires new, more effective approaches for modeling periodic modes of power energy devices’ circuits.