Modelling of minor hysteresis loops in rolling and transverse directions of grain-oriented laminations

The paper presents a modelling approach for symmetrical minor hysteresis loops in the rolling (RD) and transverse (TD) directions for grain-oriented (GO) laminations. A recently proposed modified Jiles-Atherton model which considers crystallographic orientation of GO laminations is extended to predict RD and TD minor loops. A power scaling rule for updation of model parameters is applied for the purpose. Two model parameters (k and a) are updated with the maximum flux density in RD. It gives reasonably accurate prediction in this direction. On the other hand, in TD, three model parameters (k, a and c) are modified to predict minor loops accurately. The proposed model is validated using measured curves in both directions. A close agreement is observed between computed and experimental ones. The model is useful for design and analysis of core joints and corners under rotating and distorted flux patterns.