Network Theory and Smart Grid Distribution Automation

The communication network supports applications within the power grid that cannot be handled by local control; there is a mutual relationship that influences their network structures. This leads to the hypothesis that there is a fundamental relationship involving the eigenvalues of the power grid and communication network adjacency matrices. The intuitive relationship is that the communication network adjacency matrix should have stronger connectivity among nodes that are weakly connected in the power network adjacency matrix. The focus is upon latency rather than bandwidth since, in the application of fault detection, isolation, and recovery, messages are relatively small but their speed of transmission is of greater importance.