A Generalized Prandtl–Ishlinskii Model for Hysteresis Modeling in Electromagnetic Devices

The cores of several types of electromagnetic devices (EMDs) experience a time-varying magnetic field. Thus, the hysteresis phenomenon can be observed between flux density and magnetic field strength. Hysteresis loop in magnetic material represents the core losses in the material core. Thus, a number of hysteresis models have been developed in the literature for core loss calculations in EMDs. In 2009, the Generalized Prandtl-Ishlinskii (GPI) hysteresis model was developed for the characterization of nonlinearities in smart material-based actuators. The GPI model has shown highly competent features compared with other hysteresis models. Therefore, this paper introduces the GPI model as an efficient hysteresis model for core loss estimation in magnetic cores and efficiency prediction in EMDs. The proposed hysteresis model is constructed with envelope functions and rate-dependent play operators. The envelope functions develop the Prandtl-Ishlinskii (PI) model to characterize hysteresis loops with saturation, while the rate-dependent thresholds support modeling of frequency-dependent hysteresis.