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An identification method for Preisach-type models of hysteresis is presented. By using a phenomenological Preisach-type model for hysteresis we can obtain an exact model for the magnetisation hysteresis in the cases of tapes with strip and with elliptical cross section geometries. With a parametrisation by Maclaurin series, it is possible to identify such a model for any other geometry. An additional advantage of this method is that the parameters are identified from the measurements of energy losses per cycle. Finally the results of application of the modelling method to the case of a cuprate ceramic (Bi--2223) superconductor strip is presented.