Phenomenological Modeling and Measurement of Proportional Solenoid with Stroke-dependent Magnetic Hysteresis Characteristics

In this paper, a phenomenological model of stroke-dependent magnetic characteristics of proportional solenoids is proposed. The Discrete Dynamic Preisach hysteresis model is extended so as to map a bivariate hysteresis of the flux linkage depending on both, the coil current and anchor stroke. Moreover an elaborated and hardware implemented method for measuring the magnetic characteristics using the primary excitation coil only is addressed. Is is shown how the model can be identified by a set of quasi-static magnetic measurements. The dynamic measurement with time-varying current and stroke is used to evaluate the model-based flux linkage prediction.