Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On eigenvalues to the Y-bus matrix
KTH, School of Electrical Engineering (EES), Electric Power Systems.
2014 (English)In: International Journal of Electrical Power & Energy Systems, ISSN 0142-0615, E-ISSN 1879-3517, Vol. 56, 147-150 p.Article in journal (Refereed) Published
Abstract [en]

The topology of a power system has a profound impact on its reliability. If a power system faces a contingency, for example a loss of a transmission line or a transformer, this contingency might, in worse case, lead to a blackout. Since the Y-bus matrix contains information about the structure, the line impedances, the loading in each bus and is commonly used in power system calculations it can be used to evaluate the topology of the transmission system. This paper reports on the relation between the eigenvalues to the Y-bus matrix and the underlying graph representing the topology of the transmission system. The paper also proposes four different indices’ based on the spectrum to the Y-bus matrix and the corresponding Laplacian matrix to be used to evaluate power system topologies. In addition, this paper will also show how the so called algebraic connectivity and the mean impedance in a graph is related and how the mean impedance can be calculated through the eigenvalues to the Laplacian matrix and the Y-bus matrix. In a numerical example, the indices’ on the Nordic32 system is presented.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 56, 147-150 p.
Keyword [en]
Y-bus matrix, Graph theory, Reliability, Grid expansion, Algebraic connectivity
National Category
Energy Systems
Identifiers
URN: urn:nbn:se:kth:diva-136713DOI: 10.1016/j.ijepes.2013.11.009ISI: 000332498900015Scopus ID: 2-s2.0-84889638963OAI: oai:DiVA.org:kth-136713DiVA: diva2:676758
Note

QC 20140219

Available from: 2013-12-06 Created: 2013-12-06 Last updated: 2017-12-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Edström, Fredrik
By organisation
Electric Power Systems
In the same journal
International Journal of Electrical Power & Energy Systems
Energy Systems

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 122 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf