A new stochastic criterion of restoration time after collapse of a large power network

The large electric power systems are critical infrastructures whose failure can have detrimental socio-economical consequences. The voltage collapse phenomenon leads generally to a partial or total black-out of the power network and it is necessary to restore it as soon as possible. We present a stochastic model for the restoration time having a minimal number of parameters. This model leads to an efficiency criterion that permits to compare real incidents related to diverse power networks.