Evidence of significance of graph energy interlinks in topological form of the power grid

Graph energy is the form of energy often used in a simple system of physics, typically expressed with the potential energy in springs and the kinetic energy of interlinked moving particles. In this paper, we present a study to show a new piece of evidence of the significance of graph energy interlinks in topology of the power grid, which is formed under the specific reliability principles of power system engineering. Particularly, based on the comparisons of the graphs, generated with a modified graph energy based layout method, to the physical layouts of three real power grids, it is found that the generated graphs are highly consistent with the actual layouts. The result is an important piece of evidence, showing that the graph energy interlinks play an important role in the topology formation of the power grid.