The Hammerstein configuration, which includes a nonlinear static block
followed by a linear dynamic block, is applied to model the rate-depe
ndent and temperature-dependent hysteresis phenomenon, The nonlinear s
tatic block is realized by a modified Preisach model, which includes b
oth the irreversible and reversible components of magnetization, The l
inear dynamic block is realized by a low-pass filter, which takes into
account the rate-dependent effects of hysteresis. Temperature depende
ncies are incorporated into the model by fitting the model parameters
as piecewise-linear functions of temperature, A procedure is described
for the extraction of a single set of model parameters over the frequ
ency, amplitude, and temperature ranges of interest. The theory is ver
ified experimentally.