Abstract: Accurate transformer electromagnetic transient model is of great significance to ensure the safety of power transformers, and the more important part is the modeling of the transformer core. However, the simulation of the nonlinear hysteresis characteristics and dynamic characteristics of the transformer core still has problems such as inaccuracy and remarkable errors. To this end, this paper firstly improves the static analytical positive Preisach model by the difference method, and constructs a static analytical inverse Preisach model that is more conducive to the establishment of dynamic models. Then, based on loss statistics theory, field separation technology and fractional derivative theory, the improved dynamic eddy current field strength component is combined with the static analytical inverse Preisach model and the residual loss component to obtain an improved dynamic analytical inverse Preisach hysteresis model. At the same time, the quantum genetic algorithm is introduced to optimize the fractional derivative parameters globally. Finally, the data from the accurate dynamic analytical inverse Preisach model are compared with the experimental data at different frequencies and different maximum magnetic densities. The results show that the maximum average relative error of the model is 5.857%, which verifies the effectiveness of the method in this paper.