e-journal
Stochastic Jiles-Atherton model accounting for soft magnetic material variability
Purpose – Classically the magnetic material models are considered with a deterministic approach.
Nevertheless, when submitted to the fabrication process, the magnetic core properties are negatively
impacted and may be subject to variability during the process. This variability can be of such
importance that the performances of the final device (electrical machine) will also present a noticeable
variability. The aim of this research is to develop a stochastic model of the magnetic behaviour law of
slinky stators used in claw pole generators. The proposed methodology is general and can be applied
to other physical properties of electrical devices.
Design/methodology/approach – The approach is based on a methodology that uses experimental
data and a statistical description of the magnetic properties. To that end, a set of samples issued from
the same chain of assembly is considered. The hysteresis model is then developed by accounting for
the parameter correlation structure.
Findings – It is found that the magnetic hysteresis properties of the studied samples can be modelled
by means of statistical tools applied to the parameters of the hysteresis model. The dependency of the
parameters can also be accounted for a more accurate modelling.
Originality/value – The paper proposes a statistical approach and a methodology that are applied
to the hysteresis modelling accounting for the variability of the magnetic properties. The developed
model can be further used in a numerical tool to represent the impact on the performances of electrical
devices that are subject to the fabrication process variability.
Keywords Hysteresis, Jiles-Atherton, Variability, Stochastic modelling, Slinky stator, Materials
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