Abstract
The authors of the paper have obtained formulas for analytical calculation of the constants with the harmonic electromagnetic field, which characterize the surface layer (a skin layer) of the ferromagnetic conductors in case of heating and nonlinear magnetic properties, which can be used for practical calculation of the electromagnetic screens, rotors of the electrical machines and inductive heating installations. A nonlinear dependence of the magnetic induction on the magnetic tension of the ferromagnetic conductor is replaced by one or two linear sections. It is considered that the skin layer of the conductor has constant quantities of the specific conductivity and averaged temperature. Linear electrodynamics equations are solved for the conductive half-space. Parameters of the ferromagnetic conductor's surface layer are calculated: magnetic permeability, the thickness of the skin layer and its averaged temperature, exposure time of the electromagnetic field on the conductor with the established maximum temperature on the conductor's surface, pressure of the field on the conductor and its resistance, inductivity of the internal magnetic field in the conductor, the thermal energy capacity. The methods credibility is confirmed with the concurrence of the resistance and inductiviry of the ferromagnetic conductor with analogous quantities from other methods.
Highlights
It is often necessary to calculate parameters along with the calculation of the electro energetic equipment, which characterize a surface effect in ferromagnetic conductors with the harmonic electromagnetic field (EMF)
These parameters include the thickness of the skin layer and its temperature, EMF pressure on the conductor, and the conductor resistance and the internal magnetic field inductivity [1,2,3,4,5, 7, 8]
On the basis of equations (11, 13) let us calculate the EMF maximum pressure exerted on the conductor, which is directed along axis z [2]:
Summary
It is often necessary to calculate parameters along with the calculation of the electro energetic equipment, which characterize a surface effect in ferromagnetic conductors with the harmonic electromagnetic field (EMF). The analytical calculation with harmonic EMF parameters of the skin layer and ferromagnetic conductors in case of its heating and nonlinear magnetic properties is one of the most important problem at present. The main idea of this paper is the methods development, taking into account heating of the skin layer and its nonlinear magnetic properties, for the practical analytical calculation of the skin layer properties of ferromagnetic conductors in case of harmonic EMF. The skin layer heating is quite short-term for its processing without heat exchange with the environment [4] In this case maximum temperature of the ferromagnetic conductor m does not exceed Curie temperature K 750 (°С), the absolute (static) and differential magnetic conductivities do not depend on the temperature [2]. The usage of the envelope dependences for the active (root-mean-square) current density, maximum tension and maximum induction is fully well-founded
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