SIMPLE ANALYTICAL METHOD FOR HYSTERESIS MODELLING USING LABVIEW

The paper deals with an analytical model for hysteresis cycle representation. The hysteresis curve is decomposed into a series of arcs of circle and straight-line segments. Each arc of circle or straight-line segment is expressed using analytical geometry as a function of some given parameters or calculated ones. The easiness of the proposed model is given by the small amount of input data needed to represent the hysteresis cycle in a satisfactory way. Using an inverse mapping function of major hysteresis branches the minor cycles, reversal curve of the first kind or curve of first magnetization can be obtained. Finally, a comparison between the measured data and modelled ones was made. The analytical model was implemented with LabVIEW program using Data Acquisition Board driven. The LabVIEW programs for measurement system and analytical model can be coupled in an extended program. In this way, the time for the measurements can be reduced only at the time necessary to obtain the major hysteresis loop, and the analytical model can made the rest of the needed characteristics: reversal curve of the first kind, minor hysteresis cycles.