ER_SPG: Synthetic Power Graph generation by Erdos-Renyi Model

ER-SPG is a Matlab code for producing synthetic power graphs using well-known Erdos-Renyi Random Model. It scales power graphs and achieves connectivity in each scale by different approach, and accordingly connected graphs with average degree between 2 to 5 (normally between 2.3 to 3.1) can be produced by ER_SPG with the structures similar to power graphs. It also reorders the graph vertices to obtain consecutive numbering similar to power graphs. This algorithm is also provides locations of zero injection buses (ZIBs) as operational data of power graphs. The produced graph expressed by adjacency matrix A, and ZIB location expressed by vector Z. The produced data can be used in Optimal PMU Placement (OPP) problem, which locates PMUs for system observability in vector X. The previously produced A and Z matrices and vectors and their related X vectors reported in Table II of the paper are also available in this data set. The Matlab code also includes a function, which can represent power graphs by Kirk circle. The location of ZIBs and PMUs are also can be presented in this type of representation.Important note: This algorithm uses some functions and routines of “Octave Networks Toolbox” developed by “MIT Strategic Engineering”: http://strategic.mit.edu/downloads.php?page=matlab_networks