On the Issue of Comparing Models for Calculating the Magnetic Field Strength of a Solenoid in Magnetostrictive Linear Displacement Transducers on Surface Waves Used in Automated Technical Systems

Article is devoted to research and calculations of magnetic fields and fluxes, as well as output signals in primary converters of magnetostrictive sensors of linear displacements on longitudinal waves used in automated technical systems. The dependences of projection on 0Z axis of magnetic field strength formed by solenoid on z coordinate measured from its center have been studied. It is noted that in magnetostrictive displacement transducers on longitudinal waves, it is possible to use two solenoids designed to form input and output signals, respectively. For research, two models were used to calculate projection of magnetic field strength of solenoid on 0Z axis - simplified and for accurate calculation. For considered calculation models, computational experiments were carried out to determine change in value of projections on 0Z and 0r axis of magnetic field strength created by solenoid relative to its center for two considered calculation models. The results obtained and mathematical calculation models under study were also used for expressions and computational experiments to determine dependence of magnetic flux and output signal on z coordinate measured from center of solenoid. The results of computational experiments for solenoids with same parameters, properties and linear dimensions showed a complete coincidence in calculating longitudinal component (along 0Z axis) and discrepancies in values between models under consideration exceeding 20% for axial component, which allows us to draw conclusions about possibility of practical use for calculating longitudinal component in automated technical systems of each of models under consideration and an accurate model for calculating axial component.