Synchronization of distributed power grids with the external loading system

Abstract

In this paper, the synchronization between spatially distributed power plants and their supported consumers is studied, where the case of Kuramoto-like model power grids connected to an external permanent magnet synchronous motor (PMSM) is taken as an example. We focus on the dependence of the synchronization on the coupling coefficient. To quantitatively study the synchronization degree, we introduce the order parameter and the frequency deviation to measure the synchronization of the coupled system. It is found that as the external coupling coefficient is increased, the distributed power grids and the loading system become more and more synchronized in space, and the complete synchronization appears at a particular value of external coupling coefficient. Our results may provide a useful tip for analyzing the synchronous ability of distributed power grids.

Outer synchronization for a class of discrete‐time complex dynamic networks with unknown bounded interaction

“…The outer synchronization happens between the different networks, which means that the corresponding nodes in the different networks are synchronized in state. The outer synchronization also occurs in real networks, for example, the epidemics spread across multiple communities, 28 the network congestion caused by information exchange in multiple computer networks, 29 the frequency and phase synchronization of current between distributed power grids and users 30 and so forth. Compared with the inner synchronization, the outer synchronization is still regarded as the dynamic behavior of nodes, but the nodes belong to different networks.…”