A reluctance with the Tellinen hysteresis model. The major hysteresis loop is defined by the hyperbolic tangent function.
The Tellinen hysteresis model is a simple model to describe the magnetic hysteresis behavior of ferromagnetic materials. It only uses the rising (hystR) and falling (hystF) branch of the major hysteresis loop and their derivatives der(hystR) and der(hystF). See Fig. 1 and the following equations for a short description of the Tellinen hysteresis model.
diffHyst = hystF - hystR; dhR = hystF - b; dhF = b - hystR;
if the magnetic field intensity increases (der(h)>0)
der(b) = dhR/diffHyst * der(hystR);
if the magnetic field intensity decreases (der(h)<0)
der(b) = dhF/diffHyst * der(hystF);
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