A Low-Complexity Circuit Model of Hysteresis

A circuit architecture modelling rate-independenthysteretic phenomena is presented and discussed. The core ofthe circuit is a ladder structure with longitudinal nonlinearresistors and transverse linear capacitors. In a separate loop, alinear combination of input and capacitor voltages provides thedriving voltage for a resistor with monotonic, piecewise-lineardriving-point characteristic. The resistor current represents theoutput variable. The circuit parameters can be found fromexperimental data through a standard quadratic programmingoptimization procedure. The model fitting features are tested byusing two experimental data sets. One is theB(H)function of amagnetic material; the other is the deformation of a piezoelectricactuator as a function of the applied voltage. In this last case,an accurate comparison with the predictions of the well-knownPreisach model evidences that the circuit model achieves the sameaccuracy with a much smaller number of parameters. All thecircuit simulations are performed by using PSPICE.