The main purpose of this work is to represent the magnetic hysteresis phenomenon in the electrical transformer. This study relies heavily on the integration of the finite volume method with the hysteresis model which based on the minimization of energies. In order to understand the dynamic behavior of the hysteresis phenomenon in ferromagnetic materials, the frequency effect has been integrated into the model by introducing two new parameters. These parameters are linked to two energies, classical losses and excessive losses. The simulation results of the hysteresis cycles obtained and filed magnetic have proved the effectiveness of the proposed coupling method.