Mathematical analysis and simulation of the ferrosonance phenomenon in bank three-phase transformers

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Abstract

All electricity supply networks have a set of specific components, when for any reason there is a fault in one of the power lines, there is a transient phenomenon that can cause the explosion or simple damage of the transformer of the section. This phenomenon is known as ferroresonance and its study is an important part of electrical engineering, where it is intended to demonstrate a mathematical analysis and a simulation in MATLAB that allows visualizing the occurrence of ferroresonance. In this document we present the analysis of the phenomenon and the creation of a simulator that allows us to approximate the values corresponding to the voltages and graphs obtained. Therefore, tests are performed in the transformer bank to capture the ferroresonance data when preparing the three-phase transformer in delta and star to manage the effect. From this it was possible to detect that for the transformers in star configuration they are able to support the occurrence of the ferroresonance unlike the delta configuration.

Original languageEnglish
Title of host publication17th LACCEI International Multi-Conference for Engineering, Education, and Technology
Subtitle of host publication"Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019
PublisherLatin American and Caribbean Consortium of Engineering Institutions
ISBN (Electronic)9780999344361
ISBN (Print)9780999344361
DOIs
StatePublished - 1 Jan 2019
Event17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019 - Montego Bay, Jamaica
Duration: 24 Jul 201926 Jul 2019

Publication series

NameProceedings of the LACCEI international Multi-conference for Engineering, Education and Technology
Volume2019-July
ISSN (Electronic)2414-6390

Conference

Conference17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019
Country/TerritoryJamaica
CityMontego Bay
Period24/07/1926/07/19

Bibliographical note

Funding Information:
Para el análisis de la ferroresonancia en este caso, que es una de las fallas más comunes, se puede utilizar la reducción del circuito, para facilitar su estudio de una manera rápida y eficaz; en el caso de una falla de fase abierta y el transformador conectado en delta se tiene un camino no deseado donde la capacitancia de la línea entra a tierra, lo cual provoca que el potencial en la línea abierta sea diferente de cero, como se observa en la figura 4. En la que se tiene un voltaje de línea abierta a neutro, que será seme jante al voltaje de la capacitancia con una nueva corriente, la cual será diferente de cero. Entonces el voltaje VC a y no está al potencial de la fuente donde se desarrolla un circuito equivalente para reducir los tiempos de estudio de este fenómeno. l A a plicar una simplificación del circuito se obtiene el de la figura 5.

Funding Information:
pA licando el simulador gráfico se desarrollan dos pruebas para determinar la ocurrencia del fenó meno ferroresonante, para ello se establece la configuración Delta en los transformadores y seguidamente con la falla de una línea y en dos líneas. A partir de estas pruebas se establece que el voltaje utilizado desde la fuente es de 120V y la capacitancia de 20 µC. La gráfica resultante está presentada en la figura 15. [17]

Publisher Copyright:
© 2019 Latin American and Caribbean Consortium of Engineering Institutions. All rights reserved.

Keywords

  • Analysis
  • Ferroresonance
  • Simulation
  • Three-phase

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