development of synchronous generator saturation model from steady-state operating data

a new method to estimate and model the saturated synchronous reactances of hydroturbine generators from operating data is presented. for the estimation process, measurements of only the generator steady-state variables are required. first, using a specific procedure, the field to armature turns ratio is estimated from measured steady-state variables at constant power generation and various excitation conditions. subsequently, for each set of steady-state operating data, saturated synchronous reactances are identified. fitting surfaces, defined as polynomial functions in two variables, are later used to model these saturated reactances. it is shown that the simpler polynomial functions may be used to model saturation at the steady-state than at the dynamic conditions. the developed steady-state model is validated with measurements performed on the 34mva hydroturbine generator.