A possible alternative to Preisach's model of static hysteresis

Abstract

Summary. --A phenomenological model which represents a possible alternative to the well-known Preisach's model of magnetic hysteresis is here presented. The main feature of the proposed model, which differentiates it from Preisach's one, is that the individual elementary ,~particles,, are not themselves hysteretic; it is the mechanism by which the state of these particles is modified that introduces hysteretic behaviour. The model appears to be computationally less cumbersome than Preisach's one, while having the same application range.PACS 74.20 -Superconductivity. Theory.

A PWL circuit approach to the definition of a ε-approximation model of scalar static hysteresis

“…Moreover, considering an input trajectory , the error operators become time functions that are not overlapped with any other error, i.e., for any (12) At a fixed the time instant, the superposition of satisfies the constraint for any (13) Each addendum in the right summation of (13) is the absolute value of the error [see (10)]. Moreover, at any fixed time instant, only one error is nonzero [as consequence of (12)] and restricted to [as consequence of constraint (11)].…”

“…In practice, the mathematical approach has been adopted for a larger class of applications than the physical one, and several equivalences have been proposed. Mathematical formulations of hysteresis models have been associated with nonlinear circuits [9]- [12], mechanical structures [13], and neural networks [14], [15]. However, irrespective of the approach taken, the determination of the model parameters is rather a difficult task for which specific methods have been devised.…”

Modeling quasi-static magnetic hysteresis: A new implementation of the play model based on experimental asymmetrical B(H) loops

“…The principle of the original model [8] is simple: in order to obtain the magnetic flux density B from the applied magnetic field H, which both are temporal signals, H is first temporally discretized. Hence, H is decomposed in M temporal values H(t) separated by a specific step .…”

“…1: Global functioning of Play model described in [8] and [9] However, the coefficients have to be identified to use the model. The method proposed in [8] is based on major hysteresis loop measurement. The number l of major loops is equal to M; the more M is high, the more the system is accurate.…”

Implementation of a network model of hysteresis

“…Following an idea of hysteresis simulation by status representation and nonlinear dissipation which was firstly proposed in the mechanical model of Bobbio and Marrucci [7], the authors proposed firstly a ladder circuit of nonlinear cells which was later substituted by a parallel connection of cells. In Ref.…”