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180210

Catastrophe and Hopf-Bifurcation Theorems for Synchronous Machine Stability Studies.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Electrical Engineering

Abstract

Both catastrophe theory and the Hopf bifurcation theorem can be applied to the study of the stability of synchronous generators connected to power systems, when subjected to small disturbances.
The Hopf bifurcation theorem can be used to determine the stability of the produced orbits of oscillation which indicate the stability state of the synchronous machine, here treated first as a second order problem and then by including the governor response.
Catastrophe theory usefully visualises the stability problem by deriving the approp riate catastrophe manifold.
In this paper this is shown to be a "butterfly" manifold, after taking into account the described conditions.
 

DOI

10.21608/bfemu.2021.180210

Authors

First Name

A.

Last Name

Sallam

MiddleName

A.

Affiliation

Electrical Power Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

-

City

Mansoura

Orcid

-

First Name

J.

Last Name

Dineley

MiddleName

I.

Affiliation

Electrical Power Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

8

Article Issue

1

Related Issue

25717

Issue Date

1983-06-01

Receive Date

1983-04-16

Publish Date

2021-06-01

Page Start

9

Page End

24

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 8_Issue 1_Pages 9-24.pdf

PDF . 772.7kB

Link

https://bfemu.journals.ekb.eg/article_180210.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=180210

Order

7

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Catastrophe and Hopf-Bifurcation Theorems for Synchronous Machine Stability Studies.

Details

Type

Article

Created At

22 Jan 2023