Multiplex Networks Centrality Measurements for Microgrids

This paper presents the application of several centrality measurements for single and multiplex networks applied to leader allocation in an alternating current (AC) microgrid (MG). The secondary control for the MG is separated into frequency and power-sharing layer. Some centrality measures are used to determine the importance of nodes in separate layers, then centrality measures for multiplex networks are considered. This data is used to select the leader nodes in the frequency layer. The first eigenvalue of the perturbed matrix is used to determine the diffusivity in the network using those leader nodes. The role of the nodes in the system is verified in a simulated MG model. Degree centrality measures allow defining a set of leader nodes for which the diffusivity is improved, compared to others such as eigenvector and Pagerank.