Analyzing power network vulnerability with maximum flow based centrality approach

Critical Nodes Identification of Power Systems Based on Controllability of Complex Networks

“…Therefore, it is not very suitable for the vulnerability analysis of large-scale power systems. As an alternative, the methods based on complex network theory have been proposed to assess the vulnerability of power systems in recent decades, which take both the electrical parameters and the topological characteristics of power systems into account in their analysis [18]. This method originated from graph theory and studies the subject systems from the point of view of structure and dynamic function of an array of nodes and lines without heavily relying on the system dimensionality [3], which makes it very suitable for the analysis of large-scale systems.…”

“…This method originated from graph theory and studies the subject systems from the point of view of structure and dynamic function of an array of nodes and lines without heavily relying on the system dimensionality [3], which makes it very suitable for the analysis of large-scale systems. However, as discussed above, most of the existing literature on this issue [3] and [11][12][13][14][15][16][17][18] rigorously requires that the weight of each link must be known and does not consider the system's controllability, which seriously limits its applications in real systems. Compared with the conventional methods mentioned above, the method in this paper presented a new way to analyze the vulnerability of power systems by considering the system structure controllability, which is suitable to assessing the vulnerability of large-scale power systems as it does not contain complex operations.…”

“…Recent developments in this field have opened up a new way to power system research. In recent years, there has been an increasing interest in the study of assessing the vulnerability of the power system based on the complex network theory [3,[11][12][13][14][15][16][17][18]. For example, [13] analyzed the structural vulnerability of the North American power grid and concluded that the nodes with high degree play an important role in power systems.…”

“…However, it is not necessary that the power only flows through the shortest path in a power system. Then, the idea of using the maximum flow theory to analyze the vulnerability of power systems was first proposed in [18]. Yu et al have defined a centrality index to identify the critical lines in power systems with improved results in [3], which considered the maximum flow from the generator nodes to the load nodes based on the Ford-Fulkerson theorem.…”

Hydrogen Energy paper 16

“…In reference [8], Fang summarized the application status complex network theory in the identification of vulnerable lines, and points out that the assumption that the information flows just along the shortest path in complex network theory is not consistent with the actual situation of the power grid. Therefore, some researchers introduce the maximum flow theory into the power grid, which can search for the maximum transmission flow between the source and the nodes on the path, so the physical meaning is more consistent with the operation law of the grid [9][10]. The other is the state vulnerability analysis of power grid based on entropy theory, which can take the distribution characteristic of power flow under the disturbances of overload and breakage of line into consideration [11][12].…”