Analysis of periodic processes of electrical energy devices on the basis of matrix of transition of the states

The mathematical model of the synchronous machine, the differential equations of which are presented in the normal form of Cauchy, an accelerated method of obtaining periodic processes on the basis of the transition matrix of states is proposed, and the algorithm for calculating periodic processes is given. Thanks to the calculation of the state transition matrix, the method of finding the initial conditions that lead to a periodic process is expanded to analyze the modes of power devices with saturated magneto resources. In addition, the efficiency of the method is described by the calculation of the electromechanical process, which is the two-phase short circuit of the synchronous generator.