Correlations of topological measures with power systems vulnerability and identification of potential locations to install voltage control devices

Power systems can be regarded as complex networks; hence topological measures have been applied to the analysis of the local properties of components and in particular to the assessment of structural vulnerability. However, correlations between topological measures and vulnerability are not yet fully evidenced in the literature. These correlations have been studied for the entropy-degree and electrical-betweenness measures. Here, firstly, we provide supporting evidence on this respect by comparing the net-ability measure to the system-overload-index for the IEEE 30-bus and 118-bus base-case models, when doubling or removing lines, and for N-1 and N-2 contingency cases. Secondly, a new topological measure, average-equivalent-impedance, is proposed for the identification of potential locations to install voltage control devices. The results of this topological measure were validated by comparing them to the maximum-loading of each bus in both IEEE models and also to other device location optimization methods.