Analytical way to model magnetic transients and accommodation

Abstract

The paper demonstrates the use of the model, based on hyperbolic geometry, by applying it on magnetic transient and reptation problems. By using the rules of the natural geometry inside of the major hysteresis loop, the model provides an easy analytical solution to the complex phenomena of reptation, accommodation and the general transient behaviour of hysteretic materials. It compares favourably with published examples selected from the literature and results of other models. The mathematics used is far simpler than that of other models with no need for heavy computer time and time consuming numerical approximation. On reptation the model follows the pattern set by published experimental data. The mathematics described here offers an analytical solution to the problem of accommodation instead of numerical approximation. It provides an ideal tool in experiments and theoretical work alike.