摘要：This paper mainly studies the vulnerability of node combination of two kinds of networks, and verifies whether all networks can use the pinning control optimization point selection algorithm. One is the primitive network, in which the nodes correspond to the components in the power grid, and the other is the dual network, in which the nodes are mapped to the nodes of the dual model, It is mapped as an edge, and then the vulnerability of node combination is studied by containment control theory. In the experiment, IEEE57 nodes are used to study the original network, and different combination nodes are used to attack the original network to study the vulnerability. By studying the dual network with IEEE14 nodes, it is found that the eigenvalues of the residual matrix after deleting the control nodes are all zero. Therefore, the dual model of power grid can not use the pinning control theory, and it further shows that not any network can use the pinning control theory to select points.
