HDL Models of Ferromagnetic Core Hysteresis Using Timeless Discretisation of the Magnetic Slope

A new methodology is presented to assure numerically reliable integration of the magnetisation slope in the Jiles-Atherton model of ferromagnetic core hysteresis. Two HDL implementations of the technique are presented, one in SystemC and the other in VHDL-AMS. The new model uses timeless discretisation of the magnetisation slope equation and provides superior accuracy and numerical stability especially at the discontinuity points that occur in hysteresis. Numerical integration of the magnetisation slope is carried out by the model itself rather than by the underlying analogue solver. The robustness of the model is demonstrated by practical simulations of examples involving both major and minor hysteresis loops