Computer Model and Calculation of Magnetic Field Induction of Induction Concentrator

Abstract

Computer modeling of the induction concentrator-transformer and calculation of the induction of the magnetic field in it for different variants of design are carried out. The peculiarity of the induction system that was modeled is that it is a two-stage step-down transformer. Such a system has not been considered in the literature, but it is promising for certain applications, and is of practical interest for the technology of induction heating of solids and plasma. The study of this system is also of scientific interest because it is characterized by parameters that are distributed in space, and the usual circuit approach to its analysis is inappropriate.Computer modeling for the study of induction concentrator-transformer consisted of 4 stages: the creation of a geometric model and the spatial boundary of the calculations; assignment of physical properties to the elements of the model in accordance with the electromagnetic problem; establishment of boundary and initial conditions; creation of a settlement grid. In accordance with the purpose of the study, the work examines the processes that are united by the name - electromagnetic research. This study is not only initial - it is a key study that determines the study of all processes in the induction concentrator-transformer. The adequacy of the model of magnetic field induction distribution to physical reality determines the quality of all subsequent calculations.The distribution of magnetic field induction depending on the diameter of the working inductor and its position in the concentrator is established. The calculation is performed according to Maxwell's equations in differential form, which is appropriate for non-stationary electromagnetic fields. The properties of the material were considered isotropic, as well as the hysteresis and magnetic saturation were neglected. The model took into account the distribution of current density in the elements of the induction concentrator-transformer, self- and mutual induction between the elements.The dependences of the magnetic field induction distribution on the supply current frequency (for 5.7 kHz, 60 kHz and 440 kHz) and design parameters are obtained, which prove the existence of several resonances of energy transfer from the primary inductor to the working one. Moreover, with increasing frequency, the amplitude value of the induction of the magnetic field decreases proportionally. The question of the choice of frequency in induction devices for technological purposes is always ambiguous. Criteria for optimal design and operating modes of induction concentrator-transformer depend on its purpose, but the determinants are always reliability and productivity.The obtained results reflect a good correlation with the physical properties of induction systems, which confirms the adequacy of the constructed model and calculations with it. The study does not allow to make unambiguous conclusions and proposals for the optimal design and operating modes of the concentrator-transformer, however the constructed and researched model is the first and decisive stage of physical and topological modeling of induction two-stage concentrator-transformer.