The Preisach and Jiles models for hysteresis are applied to reconstruc
t BH loops from measurement data for constructional steel St 37. The d
istribution function for the Preisach model is determined from all the
available, 18, measured BH loops starting from the initial curve. The
five unknown parameters in Jiles model are determined by the simulate
d annealing method to minimize the distance between the largest measur
ed BH loop and the corresponding computed loop. Although Jiles model g
ives differences from the measured BH loops for low applied fields, it
provides results fitted well to the largest measured loop for which t
he parameters are optimized. The Preisach model gives good fitting ove
r a wide range of the applied field.