This study presents a time domain modelling method for sources of electromagnetic disturbance. For the identification of an equivalent model, the proposed method is based on the synchronised temporal measurements of the magnetic near field above a power electronic system. To determine the parameters of the model, the proposed methodology is combined with an optimisation method based on the genetic algorithms. Unlike the classical approaches developed in the frequency domain, the proposed method allows finding a valid equivalent model for all radiation frequencies of measured time signals. It also enables knowing the phase shift in time between the radiating sources. The proposed method is applied in order to find the equivalent radiating sources of an AC/DC flyback converter. The accuracy and precision of the proposed method are validated by the good agreement between the measured cartography of the magnetic near field and that calculated using the parameters of the developed model. Finally, the latter's parameters are used to predict the cartography of other components of the magnetic field, which will be compared with the measured cartography. The superposition of the results confirms that the identified equivalent sources can represent real sources in the studied structure.