Centrality Measures for Power Grid Network Based on K-shell Method

Green power generation is always unstable. It usually poses great threat to the stability of the power grid work and often causes power supply interruption. Finding key node equipment in the power grid is a very important task to maintain the stability of the power grid and ensure the safety of power supply. The nature of the power grid is complex network. In this paper, by comparing the new metrics with the traditional metrics, we find a newly proposed improved k-shell method to calculate the node centrality value of the grids. In order to verify the advantages of the method, we introduce four representative real power grids, including power-494-bus, power-662-bus, power-685-bus and power-1138-bus. We compared the newly proposed method with the traditional methods (degree centrality, closeness centrality, betweenness centrality, eigenvector centrality, k-shell value) and found that the new method is more effective. This work will assist the grassroots power staff in making decisions and maintain the safety of power supply.