**Acknowledgements**

This work has been triggered by the project CIPRNet (funded by EU under the FP7 program through GA no. 312450) and the Italian (MIUR) funded project RoMA (SCN\_00064): all project partners are acknowledged for their support in the RecSIM elaboration. Areti SpA, the electrical distribution company of the city of Rome, is also acknowledged for the available network's data, in particular ING. Silvio Alessandroni is acknowledged for his constant support and for being the source of illuminating suggestions and comments.

**47**

**Author details**

provided the original work is properly cited.

Casaccia Research Centre, EISAC.it, Rome, Italy

\*Address all correspondence to: vittorio.rosato@enea.it

*Modeling Resilience in Electrical Distribution Networks DOI: http://dx.doi.org/10.5772/intechopen.85917*

F functioning state function P perturbation function

KPI key performance indicator

**Ω** set of secondary substations

**τ***<sup>i</sup>* disconnection duration

*ni* number of disconnected customers

**D**(**Γ**) distribution function of all the values

perturbation scheme

*trt* time required to reach a damaged link or node

(**Γ**) distribution function for the resulting impacts

a(i) factor related to the probability of a crisis event

*mt* time required to perform a manual reconnection action PGt time required to install power generator backups C number C of technical crews available in the field

*(N-1)* analysis performed in the hypothesis of one nonfunctioning node

*(N-2)* analysis performed in the hypothesis of two nonfunctioning nodes *D(h)(Γ)* distribution function for the resulting impacts for an heuristic

*T* time when the functioning of the system is re-established

N nodes L links

*t* time

**Γ***<sup>i</sup>* impact R resilience

**D**1

PG power generator

ri random number *M* M working days

*n* number of crisis scenarios

© 2019 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium,

Alberto Tofani, Gregorio D'Agostino, Antonio Di Pietro, Sonia Giovinazzi, Luigi La Porta, Giacomo Parmendola, Maurizio Pollino and Vittorio Rosato\* Laboratory for the Analysis and Protection of Critical Infrastructure, ENEA
