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The paper presents an approach and method of determining the parameters of the single-phase transformer using a differential evolution (DE). Usually, the parameters of the single-phase transformer are determined by measuring the ohmic resistance of its windings, open-circuit test and shortcircuit test. The parameters can also be determined by using DE. When choosing this approach, we first write the dynamic mathematical model of the transformer to describe the physical phenomena essential for the dynamic behavior of the transformer. In the next step, based on the time course of the primary and secondary voltages and currents recorded during the inrush phenomena, no-load and on-load operation, by using DE we search for the parameter values of the dynamic model of the transformer with the best agreement between the recorded and calculated time response of the selected variables. [ABSTRACT FROM AUTHOR]