Transient calculation of networks with ferromagnetic elements

This paper presents an efficient method for transient calculation of power networks with ferromagnetic elements. A hysteresis model is developed to represent the magnetizing characteristics, in which the multi-valued hysteresis behaviour is simulated by a given major loop and the minor loop trajectories within it. Based on the model, a set of nonlinear differential equations are obtained to describe the magnetizing branches, which are solved by a semi-explicit Runge-Kutta description method. Thus, network transients can be calculated in terms of the solutions to magnetizing branches. The result calculated by the algorithm is compared with experiments, and good agreement is shown between them.<>