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

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• 作者：Michael Ruderman ; ^{michael.ruderman@uia.no" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Preisach model ; Scalar hysteresis map ; Nonlinear state dynamics ; Hysteresis behavior
• 刊名：Applied Mathematical Modelling
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：40
• 期：4
• 页码：3451-3458
• 全文大小：893 K

文摘

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.