Based on complex network theory, the temporal and spatial complexity of power system and its evolution mechanism are analysed. In order to ensure safe and stable operation of modern power systems, formation of power outages are explained, cascading outage models are proposed, and mitigation and prevention measures are presented. Thus, the application of complex network theory to power systems is of great significance in the light of scientific theory and practical value. This paper studies the application of the complex network theory to power systems, and solve practical problems of power system based on structural vulnerability. Firstly, we discuss some basic concepts of the complex network theory, such as structure statistical feature and models of the small-world network and the scale-free network. And, focus on two aspects: cascading fault modeling and structural vulnerability analysis.Based on theoretical analysis, this paper sums up three areas of application. Firstly, the structure of the demographic characteristics is discussed; the complexity of power systems is analyzed. Secondly, the mechanism, modeling and control measures of cascading outage to blackout are studied. Finally, the structural vulnerability of power systems is analyzed.Using analysis method of structural vulnerability, this paper proposes optimizing the allocation of power system maintenance resources. The key of optimizing the allocation of maintenance resources is to determine the important nodes in the network. This paper analyzes the static vulnerability of the electric power systems, using betweenness centrality and cutting-point the double indicators. Considering the cascading failures, adopts the number of failure nodes and network efficiency after failure to measure dynamic vulnerability. Then, we compare the capacity of the electric power systems against cascading failures, when less additional maintenance resources, the average additional maintenance resources and key nodes in additional maintenance resources in three ways. Simulation results shown that it can help to mitigate the consequences of cascading failures and enhance economic benefits when key nodes in additional maintenance resources.With the increase of its scale, the Electric Power System Dispatching Data Network (EPSDDN) plays an increasingly important role in electric power systems. The present structure of EPSDDN can be categorized for double-star and mesh, and is analyzed from the statistical characteristic parameters and cumulative distribution of degree and betweenness centrality of the two typical network structures. Simulation results show that the double-star network is a typical scale-free network while the mesh network is a typical small-world network. The static and dynamic vulnerability of the typical networks are analyzed using single fault and cascading outage shown. Simulation results indicate that the vulnerability of EPSDDN has close relationship with network structure. The mesh network is much more robust to selective single failure than the double-star network, while the cascading failures happen much easier in the latter, and the vulnerable nodes concentrate on which have high betweenness centrality. |