Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

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THE MATHEMATICAL MODEL OF TRANSFORMER WHEN ITS DIAGNISIS BY SHORT DURATION PULS TAKES PLACE

Isaev Y.N. 1 Kolchanova V.А. 1 Elgina G.A. 1 Lavrynovych A.V. 1
1 National research Tomsk polytechnic university
The synthesis of the model of winding of a three-phase two-winding transformer has been considered. The original input signal in the form of a short duration pulse into components of the Fourier series has been decomposed. In accordance with the superposition principle for each component of decomposition the transient process has been calculated. To determine the transients of currents and voltages the state space method have been used, the distribution of parameters of the equivalent circuit as well as the influence of the skin effect have been taken in account. The examples of the calculation of inductance and resistance of the transformer windings with circular and rectangular cross section with the skin effect by calculating the distribution of the magnetic field potential using the finite element method have been given. To implement the finite element method the COMSOL Multiphysics soft ware has been used. The functions of the state variables with input action as a probe pulse of short duration are given. According to a comparative analysis, the modeling characteristics obtained by us and the characteristics of a natural experiment have been coincided.