The parameters of a single-phase synchronous generator given as single-phase per-unit values from manufacturer data are converted into three-phase per-unit values. The parameter calculation is exemplified here for the manufacturer data of a typical single-phase generator. Based on these parameters and the dynamic equations in the d-q-rotor reference frame, a dynamic model is derived. In contrast to the dynamic models of commercially available software, the damper currents are given as output values. The transient single-phase sudden short-circuit current of a 40 kVA three-phase synchronous generator is numerically calculated with the presented dynamic model and compared with the analytical solution and measurement resuls.