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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.