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.

Downloads

Abstract views: 110

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

Metrics

Downloads

Download data is not yet available.

License

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).