Mathematical Model of Periodic Wave Processes in the High-Frequency Transformer Windings of Power Sources

High-frequency periodic processes in two-winding power transformers

“…A mathematical model for the research on high-frequency periodic processes in transformers with two-windings, taking into account the electromagnetic connections between the windings and turns of the windings, is created basing on the subschema given in Fig. 1 [7,8].…”

“…In this regard, it is necessary to transform this system of equations into a form that will provide the research on periodic sinusoidal wave processes (steady-state) of high-frequency transformers.The problem for a practically important case -sinusoidal periodic processes -is solved by applying the symbolic Steinmetz transformation (the method of complex amplitudes). To analyze the steady-state to equations (1-4), there is a symbolic transformation by introducing complex amplitudes of currents and voltages applied, namely [7]. ( ), ( ), ( ), ( ) I x I x U x U x are the complex amplitudes of currents and voltages of the transformer windings;  is the angular frequency of the periodic process.…”