TY - JOUR PY - 2009// TI - The structure of electrical networks: a graph theory based analysis JO - International journal of critical infrastructures A1 - Atkins, Karla A1 - Chen, Jiangzhuo A1 - Kumar, V.S. Anil A1 - Marathe, Achla SP - 265 EP - 284 VL - 5 IS - 3 N2 - We study the vulnerability of electrical networks through structural analysis from a graph theory point of view. We measure and compare several important structural properties of different electrical networks, including a real power grid and several synthetic grids, as well as other infrastructural networks. The properties we consider include the minimum dominating set size, the degree distribution and the shortest path distribution. We also study the network vulnerability under attacks in terms of maximum component size, number of components and flow vulnerability. Our results suggest that all grids are more vulnerable to targeted attacks than to random attacks. We also observe that the electrical networks have low treewidth, which explains some of the vulnerability. We prove that with a small treewidth, a few important structural properties can be computed more efficiently.
LA - SN - 1475-3219 UR - http://dx.doi.org/10.1504/IJCIS.2009.024874 ID - ref1 ER -