Trasfielders fluxes of induction vector electromagnetic field of reactive components

Abstract

The study of the ways and methods of implementation of passive reactive components of electrical circuits was conducted in the paper. In particular, it is the question about inductance coils, capacitors, transformers and other reactive components. The generalized block diagrams of functional transformations of physical quantities such as descriptors, which form their mathematical model, are given. It was proved that irrespective of the type of reactive component, all of them are characterized by the transformation of fluxes of electric induction vectors into fluxes of magnetic induction and vice versa in local volumes, which are set in a particular design. Thus, it was proved that any reactive component can be characterized as the flux transformer − transfielder.It was shown that in isotropic media, according to the Maxwell equations, the transformation of fluxes of electric induction vectors into magnetic induction vectors and vice versa occurs in orthogonal planes. This fact allowed to set the criteria assessment of the transfielder designs optimality.One of the main results of the study was the illustration of using not only the conduction current but also the displacement current as the derivative of the flux of electric induction vector. On this basis, the block diagram of transfielder, which uses the displacement current and serves as the transformer with capacitance input, was developed.Thus, the proposed study is the generalized analysis of the whole class of reactive components that allowed to point out the ways of improving the existing and developing new reactive components with better performance characteristics such as reliability, frequency ranges, coordination ways and temperature modes.