Modeling of hysteresis loops in magnetic systems

Conclusion. The magnetic hysteresis curves described by expressions 4 and 5 were created using MathCad software. It can be concluded from the generated hysteresis contours that the results obtained using these two expressions at different values of the coercive force differ by 0÷24% for each point along the entire contour, and 1÷1.5% for the total result. In this case, in order to evaluate which expression is close to the experiment, when we compare the hysteresis contour created by expression 4 with the hysteresis contour of the cold-worked magnetic soft electrotechnical material of brand 3413, the results obtained are 0÷13% for each point along the entire contour, and 3.5÷ 5.5% for the total result. When we compare the hysteresis contour formed by the expression 5 with the hysteresis contour of the 3413 brand of electrotechnical material, the obtained results differ in the range of 0÷11% for each point along the entire contour, and 3÷5% for the total result.
Based on the results of the research, it was found that the results of the hysteresis surface generated using the 5th expression are close to the experimental results compared to the results of the 4th expression. When modeling the hysteresis surface in magnetic systems, in cases where it is not necessary to perform high-precision calculations, using expression 4, in cases where high-precision calculations are required, it is necessary to perform calculations using expression 5.