In this paper, a model is developed to incorporate the magnetic hysteresis effects into a brushless exciter model. The developed model reconstructs the magnetization flux linkage current loops using the Energetic hysteresis model. The model requires measurements from the armature and field terminals of the brushless exciter at standstill, and the model can be applied for detailed analysis of brushless excited synchronous generators. The developed model is also verified experimentally through measurements on a brushless excited synchronous generator.