  Through an eigenanalysis of small perturbations, as typically done in
small-signal stability studies, we intend to discover the underlying reasons
that make those perturbations propagate in some way or another in the grid. To
this end, we establish connections between the perturbations time-scale and
topological metrics. Namely, the algebraic connectivity and the Fiedler vector
of a generalized/weighted Laplacian matrix that depends on the stationary phase
solutions of the system and is thereby inherently conditioned by the topology
and the power distribution. Then, we aim to find out the isolated influence of
topology on the perturbations when the network interacting agents have, in
principle, opposite behaviors (i.e. producers and consumers). To do so, we
study three networks: Small-world, Random, German grid. Furthermore, we tackle
the effect of machine clustering on small perturbations and the influence of
the network's average clustering coefficient on the intensity localization of
the generalized Fiedler vector. Finally, we propose ways in which future
(dynamic topology control) and existing (power system stabilizer) grid control
strategies can adapt their response to comprehensively consider the topology
and remote signals in the system.
