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Considering the different weights of various heterogeneity node importance in power grid and communication network and the possibility of the power grid island as well as the independent operation of the local area network, a more accurate method is proposed to evaluate the fragility of a cyber-physical system. According to the quo of grid construction and the background of cyber-physical fusion, the hierarchical system and distributed system model are established, respectively. Simulation results of conducting random attack and deliberate attack on two systems indicate that the proposed method is correct and better than others and it can identify the balance of the network structure. The distributed system is more robust than the hierarchical system under different weighting factors, while the robustness of the hierarchical system is more sensitive to the weighting factor. [ABSTRACT FROM AUTHOR]

Whether the realistic electrical cyber–physical interdependent networks will undergo first-order transition under random failures still remains a question. To reflect the reality of Chinese electrical cyber–physical system, the “partial one-to-one correspondence” interdependent networks model is proposed and the connectivity vulnerabilities of three realistic electrical cyber–physical interdependent networks are analyzed. The simulation results show that due to the service demands of power system the topologies of power grid and its cyber network are highly inter-similar which can effectively avoid the first-order transition. By comparing the vulnerability curves between electrical cyber–physical interdependent networks and its single-layer network, we find that complex network theory is still useful in the vulnerability analysis of electrical cyber–physical interdependent networks. [ABSTRACT FROM AUTHOR]