  Power Grids and other delivery networks has been attracted some attention by
the network literature last decades. Despite the Power Grids dynamics has been
controlled by computer systems and human operators, the static features of this
type of network can be studied and analyzed. The topology of the Brazilian
Power Grid (BPG) was studied in this work. We obtained the spatial structure of
the BPG from the ONS (electric systems national operator), consisting of
high-voltage transmission lines, generating stations and substations. The local
low-voltage substations and local power delivery as well the dynamic features
of the network were neglected. We analyze the complex network of the BPG and
identify the main topological information, such as the mean degree, the degree
distribution, the network size and the clustering coefficient to caracterize
the complex network. We also detected the critical locations on the network
and, therefore, the more susceptible points to lead to a cascading failure and
even to a blackouts. Surprisely, due to the characteristic of the topology and
physical structure of the network, we show that the BPG is resilient against
random failures, since the random removal of links does not affect
significantly the size of the largest cluster. We observe that when a fraction
of the links are randomly removed, the network may disintegrates into smaller
and disconnected parts, however, the power grid largest component remains
connected. We believe that the even a static study of the network topology can
help to identify the critical situations and also prevent failures and possible
blackouts on the network.
