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

Abstract

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 <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">max</sub> . In this paper, we demonstrate that these parameters vary with <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">max</sub> for a ferromagnetic material commonly found in transformers and we also propose a technique for modelling transformer behavior when <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">max</sub> 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.