Влияние высокочастотных электромагнитных полей на провода большого сечения

Abstract

A system of three integro-differential equations is obtained for a cylindrical curvilinear wire with infinite conductivity for the case in which the wave length can be commensurable with both the wire radius and the wire axis curvature radius; these equations correlate the surface current azimuthal and axial components in the local system of coordinates with the wire surface potential. The solution of this system for the simple (although important for practical applications) case of an infinite cylinder above a conducting surface excited by an arbitrary field has been found using the method of modal parameters, which involves the need to invert infinite matrices with known entries. For the case of exciting a wire by means of annular voltage sources, a so-called generalized theory of a transmission line was used, for which it is necessary to know only a finite number of parameters, which are a generalization of the classic capacitance and inductance per unit length. For the case of thin wires, in which it is possible to neglect the azimuthal for the case of thin wires, in which it is possible to neglect the azimuthal current component and the dependence of the axial current component and potential on the local azimuthal angle, the obtained system transforms into a system of two integro—differential equations of mixed potentials for the total axial current and surface potential. In turn, this system transforms into a system of equations for a wire above a conducting surface when the wave length is much larger than the suspension height and is described by the classic approximation for a transmission line.