A graph-theoretical characterization of power network vulnerabilities

This work is concerned with the security of a power network against components failure and external attacks. We model a power plant as a linear continuous-time descriptor system. We adopt the framework of structural control theory, and we associate a digraph with the power plant. We provide a necess...

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Published inProceedings of the 2011 American Control Conference pp. 3918 - 3923
Main Authors Pasqualetti, Fabio, Bicchi, Antonio, Bullo, Francesco
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Equations
Generators
Joining processes
Load modeling
Mathematical model
Power generation
Power system dynamics
Online AccessGet full text
ISBN1457700808
9781457700804
ISSN0743-1619
DOI10.1109/ACC.2011.5991344

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Abstract This work is concerned with the security of a power network against components failure and external attacks. We model a power plant as a linear continuous-time descriptor system. We adopt the framework of structural control theory, and we associate a digraph with the power plant. We provide a necessary and sufficient graph theoretic condition for the existence of vulnerabilities that are inherent to the power network interconnection structure. From a system theoretic perspective, we generalize a known result on the structural rank of the transfer matrix of a state space system to take into account a set of algebraic constraints.
AbstractList This work is concerned with the security of a power network against components failure and external attacks. We model a power plant as a linear continuous-time descriptor system. We adopt the framework of structural control theory, and we associate a digraph with the power plant. We provide a necessary and sufficient graph theoretic condition for the existence of vulnerabilities that are inherent to the power network interconnection structure. From a system theoretic perspective, we generalize a known result on the structural rank of the transfer matrix of a state space system to take into account a set of algebraic constraints.
Author Pasqualetti, Fabio
Bicchi, Antonio
Bullo, Francesco
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  givenname: Francesco
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  email: bullo@engineering.ucsb.edu
  organization: Center for Control, Dynamical Syst. & Comput., Univ. of California at Santa Barbara, Santa Barbara, CA, USA
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Snippet This work is concerned with the security of a power network against components failure and external attacks. We model a power plant as a linear continuous-time...
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StartPage 3918
SubjectTerms Equations
Generators
Joining processes
Load modeling
Mathematical model
Power generation
Power system dynamics
Title A graph-theoretical characterization of power network vulnerabilities
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