A method for modeling an excitation system for a synchronous electrical power generator including: selecting a standard mathematical excitation system model from a plurality of standard excitation system models stored electronically; wherein the selected standard model is selected based on a similarity to the excitation system and can be an IEEE standard model; collecting data from the excitation system; determining parameter settings for the selected standard model using first pre-calculated and then collected (measured) data; verifying the selected standard model with tailored parameter settings by comparing an output of the model to a corresponding output of the excitation system; storing electronically the verified selected standard model with tailored settings; generating a report of the verified selected standard model with the tailored settings; performing rapidly and automatically model generation from a maintenance computer proximate to the excitation system; performing rapidly and automatically model generation without the need for system experts or extra equipment; and providing means to repeat test an operating excitation system at low cost and risk.