Influence of edge additions on the synchronizability of oscillatory power networks

• The effect of edge-adding numbers and distances on synchronization of second-order Kuramoto-like oscillatory network is studied.
• Results indicate that the numbers of edge additions have important consequences to synchronization dynamics in oscillator networks.
• The impact of distances of added edges whether homogeneous or heterogeneous edges is not obvious on the synchronizability of oscillatory network.
• The numbers of heterogeneous edge additions are beneficial for the enhancement of the synchronization.

The influence of edge-adding number and edge-adding distance on synchronization of oscillatory power network is investigated. Here we study how the addition of new links impacts the emergence of synchrony in oscillatory power network, focusing on ring, and tree-like topologies. Numerical simulations show that the impact of distance of adding edges whether homogeneous (generators to generators or consumers to consumers) or heterogeneous (generators to consumer nodes and vice versa) edges is not obvious on the synchronizability of oscillatory power network. However, for the edge-adding number, it is observed that the bigger heterogeneous edge-adding number, the stronger synchronizability of power network will be. Furthermore, the homogeneous edge-adding number does not affect the synchronizability of oscillatory power network.