The traditional hysteresis modeling method does not consider the energy changes of magnetic materials such as electrical steel sheets during the magnetization process

resulting in limited simulation accuracy of the hysteresis characteristics of ferromagnetic materials in actual complex magnetization environment conditions. An energy-based analytical calculation method was proposed for hysteresis model parameters. By the method the relationship was analyzed between the applied magnetic field and the reversible magnetic field corresponding to the pinning point

and then the distribution function W(h)and the pinning distribution density of different magnetic field intensity peaks were determined through the variation curve of coercive force with the peak value of the hysteresis loop. Based on the relationship between the pinning distribution density and the peak value of the applied magnetic field intensity

the pinning field strength and weight were calculated

and an energy hysteresis model was established. The discrete equation of the model was transformed into a continuous equation and vectorized

and an analytical calculation formula based on the energy hysteresis model was provided

and the model parameters were identified through analytical methods. Finally

the experimental data measured at different frequencies were compared with the predicted results of the analytical model

and error analysis was conducted. The results show that the analytical method has high computational accuracy

recognition speed

and robustness.