ICT and power distribution modeling using complex networks

Power Distribution Network reliability and security highlights the need to identify and understand vulnerabilities that emerge from its interaction with Information and Communication Technologies (ICT). Modeling the physical, logical, cyber, social and geographical relations can give some information about the interactions between both infrastructures to enlighten their interdependencies and to identify their mutual vulnerabilities. This paper presents a method that adapts the theory of Complex Numbers to the theory of Complex Networks. The result of this symbiosis is a two-dimensional model that allows inherent vulnerabilities of coupled infrastructures to be identified. Few simple cases are explained and the method is then demonstrated on a typical French Distribution Network including a surrounding ICT network.