ROLE of local geometry in robustness of power GRID networks

Umar Islambekov, Asim Kumer Dey, Yulia R. Gel, H. Vincent Poor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We introduce a novel approach to study robustness of a power grid network employing the tools of topological data analysis (TDA). This approach not only enables one to incorporate intrinsic network properties such as electrical conductance but more importantly also offers a systematic and comprehensive framework to study the role of topology in its functionality and robustness. This is achieved by viewing the network as a weighted graph, equipping it with a nested simplicial complex structure and extracting topological summaries in the form of the Betti numbers and persistent diagrams. These summaries are then used to characterize network vulnerability under critical conditions such as targeted attacks.

Original languageEnglish (US)
Title of host publication2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages885-889
Number of pages5
ISBN (Electronic)9781728112954
DOIs
StatePublished - Feb 20 2019
Externally publishedYes
Event2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Anaheim, United States
Duration: Nov 26 2018Nov 29 2018

Publication series

Name2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings

Conference

Conference2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018
CountryUnited States
CityAnaheim
Period11/26/1811/29/18

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Signal Processing

Keywords

  • Betti numbers
  • Complex networks
  • Power grids
  • Power system vulnerability
  • Topological data analysis

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    Islambekov, U., Kumer Dey, A., Gel, Y. R., & Poor, H. V. (2019). ROLE of local geometry in robustness of power GRID networks. In 2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings (pp. 885-889). [8646573] (2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GlobalSIP.2018.8646573