Modelling minor hysteresis loops and anisotropy with classical Jiles-Atherton model

Abstract

When models are built for transformers, it has to estimate accurately the running state of iron core in various applications. However, the classical Jiles-Atherton(JA) model is only fit for the description of isotropic steel and the given circumstances that the value of the maximum magnetic induction density is closed to the value of the saturation magnetic induction density and the electrical sources is non-harmonic. If the running state of iron core changes, for example, the maximum magnetic induction density is low, or electrical sources for the transformer is non-sinusoidal, or the model is built for anisotropy materials, there is a large error when models are built with the classical Jiles-Atherton model. For this reason, a novel method is presented to address the issue of modeling minor loops which means the value of the maximum magnetic induction density is smaller, non-centered local hysteresis loops which is non-centered and the effect of anisotropy with the original JA model. The minor loops and non-centered local hysteresis loops are evaluated via an expression in which the parameters of model above are related with value of the major loop model. The four parameters of JA model are applied in the minor hysteresis loops and the local loops which is non-centered. The effect of anisotropy on JA model is considered with an additional parameter quantum number.