Impacts of link addition and removal on synchronization of an elementary power network

This paper is devoted to the impacts of link addition and removal on synchronization of an elementary oscillatory network. By means of numerical simulations, it is found that the characteristics of edge have important consequences to synchronization in oscillatory networks. To be specific, we find that the heterogeneous (generators to consumer nodes and vice versa) edge additions whether in a separate community or between communities is beneficial for the enhancement of the synchronization. Nevertheless, the influence of homogeneous (generators to generators or consumers to consumers) edge additions is not obvious on the synchronizability of the power network. Furthermore, it is observed that a heterogeneous edge is deleted, the network exhibits weak synchronizability. However, the removal of a homogeneous edge does not affect the synchronizability. Besides, the numerical simulation results indicate that whereas the impact of a link additional and removal in a separate community become more sensitive to synchronizability than different communities.