In this article, the decoupled property of the recently developed so-called hybrid model is used to derive time-variant analytical waveforms of the phase voltage and the field current following the load-rejection test. In the proposed identification approach, these time-variant responses are fitted to actual data using the asymptotic weighted least squares estimator along with a Newton-type optimization algorithm to compute the 4-pole 1.5-kVA, 208-V, 60-Hz laboratory synchronous generator parameters. In order to assess the robustness of the proposed identification scheme more thoroughly, the synchronous generator estimated parameters were successfully applied at the cross-validation stage using the symmetrical three-phase short-circuits test data.