# APPROXIMATION OF MAGNETIZATION CURVES OF ELECTRICAL STEELS IN THE DESIGN OF ELECTRICAL MACHINES

n the calculation of electrical machines DC and AC, as well as transformers, in some cases, there is a need to use the magnetization curves of materials that are used in the manufacture of magnetic systems of such devices. These magnetization curves in the relevant reference literature are usually given in graphical or tabular forms, which is not always convenient in practical work with them. For example, when calculating the magnetic circuit of Electromechanical devices or when calculating the magnetic losses in steel of similar devices, it is desirable to have analytical expressions, in particular, in the preparation of mathematical models describing the processes associated with the conversion of energy in Electromechanical converters. In this regard, there is a need for analytical approximation of magnetization curves, i. e. in obtaining analytical expressions quite accurately and at the same time quite simply, from a mathematical point of view, displaying these curves. In the simplest case, for the base of this approximation it is advisable to take any of the elementary or special functions in its graphical representation slightly different from the magnetization curve of the material.

**Authors:** M. G. Каsyanеnко, V. F. Матyuchоv, M. A. Vaganov

**Direction:** Electrical Engineering

**Keywords:** Magnetization curve, approximation of magnetization curves, hyperbolic sine, approximating function, magnetomotive force of the tooth zone of Electromechanical devices

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