Affiliations: [a] L2EP/Arts et Métiers ParisTech, Centre de
Lille, Lille, France | [b] L2EP/Université Lille1, Bâtiment P2,
Cité Scientifique, Villeneuve d'Ascq, France
Correspondence:
[*]
Corresponding author: Stéphane Clenet, L2EP/Arts et
Métiers ParisTech, Centre de Lille, 8 boulevard Louis XIV – 59046
Lille Cedex, France. E-mail: [email protected]
Abstract: When modeling a system subject to uncertainties, a fundamental
aspect is the stochastic modeling of the input parameters of the model. Several
calculation and analysis steps have to be considered, and can be found in the
literature. In this paper, after presenting such steps, these are applied for
the modeling of the variability of the magnetic behavior law related to a set
of slinky stator samples, issued from the same production chain. The
probabilistic model of the parameters is therefore validated using a
statistical test and a classical Monte Carlo simulation. The importance of
taking account of the dependency structure between the parameters is then
emphasized, as it may modify significantly the results related to the
validation of the model.
Keywords: Anhysteretic curve, stochastic model, correlation, slinky stator, ferromagnetic material
