Behavior Analysis of Random Power Graphs for Optimal PMU Placement in Smart Grids

Abstract

In this paper, two different methods for generating random power graphs are proposed. The above two methods are based on two random graph models, the methods of Edgar-Gilbert and Erdos-Rényi. To prove the efficiency of random graphs in power systems analysis and the similarity of graphs generated by these methods to power systems, PMU placement problem of proposed random graphs has been solved. The simulation results show that the two proposed random power graph models have good capability to form networks similar to the power grid. This similarity has been demonstrated in the solving of phasor measurement units placement problem, one of the most well-known problems related to the power grids’ structure.