Title :
Application of Hermitian Adjacency Matrices for coupled infrastructures interdependencies analysis
Author :
Sanchez, Javier ; Caire, Raphael ; HadjSaid, N.
Author_Institution :
Grenoble Electr. Eng. Lab. (G2ELAB), Grenoble Inst. of Technol. - Univ. of Grenoble, Grenoble, France
Abstract :
Deployment of Information and Communication Technologies (ICT) on Power Systems added a new complexity to Power Systems. New vulnerabilities evolved from this highly interconnected System-of-Systems due to the interdependencies among and within their components. We develop an Eigen-spectral analysis using complex-valued graphs and Hermitian Adjacency Matrices to model these interdependencies and to identify the most critical components, taking into account the information flow direction in each infrastructure, which should help to describe the structure of the coupled system. The proposed methodology is demonstrated on a typical French distribution network including a surrounding ICT network.
Keywords :
Hermitian matrices; distribution networks; eigenvalues and eigenfunctions; graph theory; power system interconnection; spectral analysis; French distribution network; Hermitian adjacency matrices; ICT network; complex-valued graph; coupled infrastructure interdependency analysis; eigenspectral analysis; information and communication technology; interconnected system-of-system; power system; Complex networks; Eigenvalues and eigenfunctions; Electricity; Europe; Hilbert space; Smart grids; Coupled systems; Eigenspectral Analysis; Hermitian Adjacency Matrices; Interdependencies; Vulnerability;
Conference_Titel :
Innovative Smart Grid Technologies Europe (ISGT EUROPE), 2013 4th IEEE/PES
Conference_Location :
Lyngby
DOI :
10.1109/ISGTEurope.2013.6695448