State-space formulation of scalar Preisach hysteresis model for rapid computation in time domain

TL;DR

This paper introduces a state-space formulation of the scalar Preisach hysteresis model that significantly reduces computation time in the time domain by simplifying the calculation process.

Contribution

A novel state-space approach for the scalar Preisach model that enhances computational efficiency while maintaining accuracy.

Findings

Reduced computation time compared to classical model

Maintains accuracy with simplified calculations

Single integration over Preisach plane segment

Abstract

A state-space formulation of classical scalar Preisach model (CSPM) of hysteresis is proposed. The introduced state dynamics and memory interface allow to use the state equation, which is rapid in calculation, instead of the original Preisach equation. The main benefit of the proposed modeling approach is the reduced computational effort which requires only a single integration over the instantaneous line segment in the Preisach plane. Numerical evaluations of the computation time and model accuracy are provided in comparison to the CSPM which is taken as a reference model.