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Power system model is described by graph in this paper. A new judging approach to the network connectivity is proposed, it is based on properties of Laplacian matrix eigenvalues in spectral graph theory, the property is that a network is connected if and only if the second smallest eigenvalue over zero. Note that computation of the spectrum of a matrix has worst-case complexityO(n3), the memory space...
In this paper, instead of using the average nodal degree metric, we suggest to use the Fiedler value metric, adopted from the spectral graph theory, namely the 2nd smallest eigenvalue of the Laplacian matrix of a given network topology, to quantify network connectivity in studies of spare capacity allocation problem. Ideally, such a robustness measure should be sensitive to the existence of nodes...
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