Characteristics of Jiles–Atherton Model Parameters and Their Application to Transformer Inrush Current Simulation

We describe a time-domain simulation technique for nonlinear hysteretic transformer behavior based on the Jiles-Atherton model but with variable parameters. The normal Jiles-Atherton model assumes its parameters are independent of the applied maximum (peak) magnetic field intensity
H

_max
. In this paper, we demonstrate that these parameters vary with
H

_max
for a ferromagnetic material commonly found in transformers and we also propose a technique for modelling transformer behavior when
H

_max
is rapidly changing. We present examples of inrush current simulation for transformer protection research and compare them with experimental measurements, demonstrating that the proposed algorithm is robust and accurate.