The impact of a pulse load charging event on a notional all-electric ship is investigated through simulation in the context of uncertainty in the parameters of the system and event. In order to efficiently carry out the study, the system is modeled on a large-scale parallel processor simulator. A surrogate modeling approach is used to characterize the behavior of the system for the purposes of sensitivity and uncertainty analysis. As a second approach for the uncertainty analysis, direct integration is carried out on the simulation using a dimension adaptive collocation procedure.