MATHEMATICAL MODEL OF THREE-PHASE TRANSFORMER AS PART OF ELECTRIC POWER SYSTEM

Authors

  • O. L. Shpak Public Joint-Stock Company «Khmelnytskoblenergo»

Keywords:

mathematical model, electromagnetic circuit, three-phase transformer, power system

Abstract

A problem of developing mathematical models for the three-phase transformer is considered, which are convenient to solve numerically and by the method of computer simulation. Two mathematical models of three-phase transformers are suggested, which are different from the point of view of their numerical realization and universality that is the possibility to analyze the offline operation of the transformer and complex energy systems. The three-phase mathematical model of the transformer consists of differential and algebraic equations, which are analytically reduced to Cauchy’s normal form. Such a form of the equations removes necessity of inversing the coefficient matrix at every step of numerical integration, what slows the error accumulation down, and decreases the computing time.

Author Biography

O. L. Shpak, Public Joint-Stock Company «Khmelnytskoblenergo»

Deputy General Director

References

1. Блажкевич Б. І. Основні методи аналізу електричних кіл / Б. І. Блажкевич. — К. : вид-во АНУРСР, 1961. — 127 с.
2. Чабан В. Й. Теоретична електротехніка : навч. посіб. для студ. електротехн. і мех. спец. / В. Й. Чабан ; укл. В. Чабан. — Львів : Сорока, 2008. — 176 с. — ISBN 978-966-8460-39-5.
3. Чабан В. Й. Математичне моделювання електромеханічних процесів : навч. посіб. / В. Й. Чабан. — Львів : Львівська політехніка, 1997. — 341 с.

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Abstract views: 119

Published

2016-07-12

How to Cite

[1]
O. L. Shpak, “MATHEMATICAL MODEL OF THREE-PHASE TRANSFORMER AS PART OF ELECTRIC POWER SYSTEM”, Вісник ВПІ, no. 3, pp. 73–77, Jul. 2016.

Issue

No. 3 (2016)

Section

Energy generation and electrical engineering

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