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About the Authors

A. M. Karpachevskiy

Lomonosov Moscow State University
Russian Federation
Geographical Department

O. G. Filippova

Lomonosov Moscow State University
Russian Federation
Geographical Department


In this article we review the method of representation an electrical power grid as a graph. Then we state a definition of structural vulnerability as the main feature of electric power grid reliability, which allows to evaluate the blackout probability. We have created the methodic of locating critical element (nodes) by using GIS-technologies and tested it on studied regions. As the result, we have located zones of high and low structural vulnerability. In addition, some priority areas for investigation with the help of the network model are given.


electrical power grids, structural vulnerability, blackout, network model, GIS-analysis.


  1. Kargashin P.E., Novakovskiy B.A., Karpachevskiy A.M., Prasolova A.I. Izuchenie prostranstvennoy konfiguracii elektrosetey po kosmicheskim snimkam [Studying of spatial configuration of electical power grids by satellite images]. // Geodeziya i kartografiya. 2016. – № 3. – Pp. 53–58. (in Russian).
  2. Knizhnikov Yu.F., Kravcova V.I., Tutubalina O.V. Aerokosmichestie metody geograficheskih issledovaniy: uchebnik dlya studentov vyshih uchebnyh zavedeniy [Aerospace methods in geographis research: a tutorial for students]. – M.; Izdatelskiy centr «Akamediya», 2004. – 336 p. (in Russian).
  3. Lurie I.K. Geoinformacionnoe kartografirovaniye: metody geoinformatili i tsifrovoy obrabotki kosmicheskih snimkoy [GIS mapping. Methods of Geoinformatics and digital processing of satellite images]. – M.: KDU, 2008 – 422 p. (in Russian).
  4. Pravila ustroystva elektroustanovok: po sostoyaniyu na 1 fevralya 2008 g. – 6 i 7 izd. (vse deystvuyuschie polojeniya).[Rules for Electrical Installation: As of February 1, 2008 – 6 and 7th ed. (All applicable regulations]. (in Russian).
  5. Tarkhov S.A. Evolutsionnaya morfologiya transportnyh setey [Evolutionary morphology of transport networks]. – Smolensk – M.: Izdatelstvo «Universum», 2005 – 384 p. (in Russian).
  6. Faddeev A.M. Otsenka uyazvimosti energosystem Rossii, stran Blizhnego zarubezjya i Evropy [Vulnerability assessment of power grid in Russia, Near abroad and Europe]. // Vestnik Moskovskogo universiteta. Seriya 5. Geografiya. – 2016. – № 1. (in Russian).
  7. Harari F. Teoriya grafof [The graph theory]. – M.: MIR, 1973. – 300 p. (in Russian)/
  8. Boccaletti S., Latora V., Moreno Y. (et al.). Complex networks: Structure and dynamics. // Physics Reports. 2006. Vol. 424. Pp. 175–308.
  9. Rosas-Casals M., Valverde S., Solé R.V. Topological vulnerability of the European power grid under errors and attacks. // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2007. Vol. 17. No. 7. Pp. 2465–2475.

For citation: Karpachevskiy A.M., Filippova O.G. MAP ESTIMATION OF BLACKOUT PROBABILITY IN ISOLATED ELECTRICAL POWER GRIDS: A CASE STUDY OF EASTERN RUSSIA. Proceedings of the International conference “InterCarto. InterGIS”. 2016;22(2):61-66.