A Preisach model identification procedure and simulation of hysteresis in ferromagnets and shape-memory alloys

A Preisach model able to adjust to different systems with hysteresis is presented. The related identification scheme involved uses data from a major hysteresis curve and a least-squares error minimization procedure For the parameters of the characteristic density. The output sequence, f(t), is obtained by integrating the characteristic probability density function, rho(alpha,beta), of the elementary hysteresis operators. gamma (ab), operating, oil the input sequence u(t) over the Preisach plane. Once the appropriate operator is chosen and the Preisach plane adjusted accordingly, the parameters of the characteristic density are determined via a least-squares procedure minimizing the error between the experimental major curve and the calculated one. Results using two different scalar operators are discussed. Further, the reliability of the procedure is assessed by considering experimental data regarding two different magnetic samples and a shape-memory alloy sample. (C) 2001 Published by Elsevier Science B.V.