Graphon-based Synthetic Power System Model and its Application in System Risk Analysis

Rachad Atat, Muhammad Ismail, Erchin Serpedin

Abstract: The high confidentiality level of power system's data has motivated the ongoing research on the generation of synthetic power grids that mimic actual systems. The existing synthetic models rely on specific geographical and parametric assumptions, which leads to non-generalizable models that overfit the observed data. To fill up this research gap, this paper proposes the use of graphon, a non-parametric graph processing method, to generate graph samples of different sizes with similar topological and electrical characteristics as actual power systems. We first estimate the graphon based on realistic parameters of the observed actual power system. Then as an example of a use case, we sample multiple graphs from the graphon in order to provide a general assessment of the power system vulnerabilities.