Abstract
Purpose. Currently, in order to save materials and energy costs, devices have been developed using inductor systems with bifilar coils used in equipment for magnetic-pulse processing of metals. The purpose of this work is to obtain design relations based on a rigorous solution of the edge electrodynamics for the analysis of electromagnetic processes in a real metal of a circular solenoid of finite thickness placed between massive multi-turn coils of a bifilar with unidirectional currents in a flat inductor system. Methodology. To solve this problem, Maxwell’s equations with appropriate boundary conditions and Laplace transforms were used. Results. Based on the exact solution of the boundary value problem, the space-time function of the density of the induced current, which arises in a flat solenoid when the system is excited by harmonic unidirectional currents in massive bifilar windings, is obtained. On the basis of numerical calculations, it was found that in the low-frequency mode, the transverse distribution of the induced current is linear, symmetric about the central axis of the inductor. In the high-frequency mode, the transverse distribution of the induced current is characteristic of the case of a sharp surface effect. The conditions for the minimum influence of the fields of the external bifilar on the processes in the internal inductor are revealed. Originality. The novelty of this work lies in proposing the idea of the design of the inductor system, as well as in the exact solution of the electrodynamics problem and obtaining the calculated expressions for the analysis of electromagnetic processes. Practical value. On the basis of the obtained formulas and the performed calculations, the efficiency of the proposed calculation model has been proved, which makes it possible to use it as a basic model for similar inductor systems in determining the real conditions of their maximum efficiency. Figures 2, references 17.
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