A homogenized model based on the Pry and Bean model is generalized to represent the ac hysteretic characteristics of an actual grain-oriented silicon steel sheet. A parameter for the frequency dependence of eddy-current loss is introduced. The generalized model improves the evaluation accuracy of eddy-current loss and the representation of ac -loops under the condition of a sinusoidal magnetic flux. The generalized model also accurately represents ac -loops having minor loops.Index Terms-AC hysteresis, excess eddy-current loss, homogenization, Pry and Bean model.