A modified elliptic model of anisotropy in nonlinear magnetic materials
Purpose - Grain-oriented steel has a distinctly anisotropic and nonlinear behaviour. Only in rare cases is the magnetisation curve known for directions other than the principal ones. The paper aims at providing a model to obtain these curves for any direction if those in the easy and hard directions are only given. Design/methodology/approach - The well-known elliptic model is modified in order to correctly mimic the typical behaviour of grain-oriented steel which is not described correctly by the original elliptic model. An additional condition is introduced to fix the angle between the flux density and magnetic field intensity. Findings - The model is found to yield good agreement with measurements in case of a special material for which measured curves for intermediate angles are available. Research limitations/implications - Further research is necessary to establish whether the model is applicable to other materials. Originality/value - The new model can be used in numerical analyses of devices comprising saturated grain-oriented steel material if the magnetisation curves are given in the principal directions.
modelling magnetism steel physical properties of materials numerical analysis