Space vector analysis of three-phase transformer transients

This work deals with the derivation of the circuit model of a three-phase transformer by using time-domain space vectors for currents and voltages. State equations for space vectors are used to provide the analytical solution of transients involving three-phase transformers, in contrast with the commonly used single-phase equivalents. Description of three-phase transients in terms of space vectors provides full description of the time-domain behavior of all the phase variables showing, in general, different peak values. Such complete description of a three-phase transient cannot be reached through the conventional single-phase equivalent of a three-phase transformer. Analytical results are validated by means of numerical simulation of a case study through Simulink.