Hg. Brachtendorf et al., MACROMODELING OF HYSTERESIS PHENOMENA WITH SPICE, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 44(5), 1997, pp. 378-388
A macromodel for nonlinear devices exhibiting hysteresis is presented,
Although this model is based on existing ideas of ferromagnetic hyste
resis, it can be applied to all hysteresis phenomena by choosing suita
ble parameters. It consists only of four algebro-differential equation
s with ten parameters and exhibits all main features of hysteresis, su
ch as initial carve, saturation, minor loops, coercivity, and remanenc
e, Using standard elements of the widespread simulator SPICE, the macr
omodel is applicable to all commonly used circuit simulators. It is di
fficult to extract parameters of nonlinear differential equations from
measured values, Therefore, an algorithm for parameter extraction by
optimization is presented which is successfully applied to this hyster
esis model.