Weight-Function Identification for the Preisach Model of Laminated Steels Using Concentric Hysteresis Loops

摘要

This paper proposes a new methodology to obtain the weight function of the Preisach model for non-oriented laminated steels using concentric hysteresis loops. In this methodology, first the experimental weight function is obtained from measured concentric hysteresis loops, and a mathematical technique is applied to remove the existing negative values. Based on the shape of the modified weight function, a new analytic function is proposed as a weight function for the Preisach model. The proposed analytic function is more advanced than the conventional probability functions proposed in literature, such that it is able to better mimic the actual shape of the weight function. The unknown parameters of the analytic weight function are identified by minimizing the error between the Preisach model and the modified measurements. Using the proposed analytic weight function, the minimum rms error is reduced to less than 0.5%, and a decent agreement is achieved between the model and the measurement.