The Choice of Parameters of Special Types of Inductors

The article developed a mathematical model for calculating the electromagnetic parameters of inductors of special types, for example, inductors with an intermediate conductive medium, inductors-transformers, inductors for heating cylindrical surfaces, when the length of the detail considerably exceeds the length of the inductor. As a result, analytical formulas were derived that allow calculating the parameters of the electromagnetic field and integral values depending on the axial coordinate and radius with a simultaneous analytical solution of a two-dimensional electromagnetic field for areas of the radius of the system from the axis of the inductor or detail to the internal radius of the inductor. The dependences obtained on the basis of the equation for the vector potential and the Bessel equations of zero and first order, which determine the influence of the geometric parameters of the inductor and the details on the magnetic field strength and specific power, are given. Cases of cylindrical coils with a specified number of turns, as well as coils in the form of thin or flat rings are considered. The results of calculations based on the created formulas are presented in the graphs of the distribution of electromagnetic parameters of the system “short inductor - long detail”.