Use of meta-modelling for identification and interpolation of parametric hysteresis models applied to the characterization of carbon steels
Résumé
The meta-modelling approach based on an adaptive sparse grid interpolator is proposed for tackling the identification problem of parametric hysteresis models for steels with different microstructures. Parametric models of Jiles-Atherton and Mel'gui, respectively, have been considered in this work. The main advantage of the present approach is the separation of the calculation procedure in a computationally demanding off-line phase, which has to be carried out only once, and a very fast on-line evaluation. This decomposition is particularly interesting when a large amount of successive evaluations has to be carried out. Especially in the case that we are interested in a particular family of ferromagnetic materials (e.g. steels subjected to different treatments), where the sought parameters are lying in a specific interval, a single meta-model may be sufficient to be used for the study of a wide range of specimens. The steel samples considered in this study have been obtained from industrially produced low carbon steel, 84% cold rolled, and isothermally annealed in laboratory.
Mots clés
Cold rolling
Ferromagnetic materials
Heat treatment
Hysteresis
Hysteresis loops
Identification (control systems)
Interpolation
Low carbon steel
Metal cladding
Microstructure
Steel sheet
Calculation procedure
Different treatments
Identification problem
Isothermally annealed
Meta-modelling
On-line evaluation
Parametric models
Steel microstructure
Parameter estimation
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