Analysis on vulnerability of power grid based on electrical betweenness with information entropy

This paper investigates the vulnerability of power grids based on the complex networks combining the information entropy. The difference of current directions for a link is considered, and it is characterized by the information entropy. By combining the information entropy, the electrical betweenness is improved to evaluate the vulnerability of power grids. Attacking the link based on the largest electrical betweenness with the information can get the larger size of the largest cluster and the lower lost of loads, compared with the electrical betweenness without the information entropy. Finally, IEEE 118 bus system is tested to validate the effectiveness of the novel index to characterize the the vulnerability of power grids.