Mathematical model of analysis of wave electromagnetic processes in three-winding transformers

M. Seheda, Petro Gogoluyk, Y. Blyznak
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Abstract

A mathematical model for researching internal overvoltages in the windings of power three-winding transformers, based on the substitute circuit of an infinitesimal element considering the longitudinal and transverse inductive interconnections with electromagnetic connections between the windings and flux coupling from the main magnetic flux of the magnetowire in the form of a system differential equations in partial derivatives, is developed. The distribution of overvoltages along the windings, depending on the distance and time during the impulse overvoltage on them, as well as the distribution of overvoltages at different points of the high-voltage winding depending on time, of a three-winding power transformer, is researched.
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三绕组变压器波电磁过程分析的数学模型
基于无穷小单元替代电路,考虑了纵向和横向电感连接,绕组之间的电磁连接以及磁通的耦合,建立了以偏导数系统微分方程的形式研究电力三绕组变压器绕组内部过电压的数学模型。研究了三绕组电力变压器冲击过电压时,过电压沿绕组的分布随距离和时间的变化规律,以及高压绕组各点过电压随时间的变化规律。
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