Simple and precise hysteresis models with a small number of parameters allowing fast calculation are required for the magnetic analysis, as the field is calculated in a very large number of points. This paper presents a new simple method for modeling the hysteresis loops of soft magnetic materials using combined rational and power functions. Three approaches are used to model the hysteresis loops analytically. In the first approach, the upper and lower curves of the hysteresis loops are estimated and are calculated separately, using combined rational and power functions. In the second approach, the hysteresis loops are calculated using the DC magnetization curve and combined rational and power functions, applying a phase shift in the magnetic field strength variations relative to the magnetic flux density. The third approach presents a novel method for modeling hysteresis loops: first, the model is fitted to the “mean curve”, which is in the middle of the measured hysteresis curve, and as a second step the phase shift is calculated as in the second approach. A solid iron sample with a rectangular cross section is used for the measurements and the hysteresis modeling. The proposed method is also applied to model the hysteresis loops of a magnetic material with high magnetic permeability and grain-oriented steel, to show the generality of the proposed methods.

磁分析需要具有少量参数且能够快速计算的简单而精确的磁滞模型，因为磁场的计算点非常多。本文提出了一种使用有理函数和幂函数相结合的软磁材料磁滞回线建模的简单方法。可以使用三种方法来分析滞后回路。在第一种方法中，使用组合的有理函数和幂函数来估计和分别计算磁滞回线的上下曲线。在第二种方法中，使用直流磁化曲线并结合有理和幂函数计算磁滞回线，并在磁场强度变化中相对于磁通密度施加相移。第三种方法提出了一种用于对磁滞回线进行建模的新颖方法：首先，将模型拟合到“均值曲线”，该均值位于测得的磁滞曲线的中间，第二步，与第二步一样，计算相移方法。具有矩形横截面的固态铁样品用于测量和磁滞建模。将该方法还应用于高磁导率的磁性材料和取向钢的磁滞回线建模，以证明该方法的通用性。具有矩形横截面的固态铁样品用于测量和磁滞建模。所提出的方法还被用于对具有高导磁率和取向钢的磁性材料的磁滞回线进行建模，以显示所提出方法的一般性。具有矩形横截面的固态铁样品用于测量和磁滞建模。所提出的方法还被用于对具有高导磁率和取向钢的磁性材料的磁滞回线进行建模，以显示所提出方法的一般性。