Exact Topology Reconstruction of Radial Dynamical Systems with Applications to Distribution System of the Power Grid
This work addresses the challenge of accurately mapping interconnectedness in systems like power grids, which is crucial for reliability and control, though it is incremental as it builds on existing Wiener filtering techniques.
The authors tackled the problem of reconstructing the exact topology of radial dynamical systems, specifically tree-structured networks with bi-directional interactions, by developing a three-stage procedure that eliminates spurious edges from Wiener filtering results. They demonstrated the method's effectiveness by applying it to a typical distribution system in the power grid, achieving exact reconstruction.
In this article we present a method to reconstruct the interconnectedness of dynamically related stochastic processes, where the interactions are bi-directional and the underlying topology is a tree. Our approach is based on multivariate Wiener filtering which recovers spurious edges apart from the true edges in the topology reconstruction. The main contribution of this work is to show that all spurious links obtained using Wiener filtering can be eliminated if the underlying topology is a tree based on which we present a three stage network reconstruction procedure for trees. We illustrate the effectiveness of the method developed by applying it on a typical distribution system of the electric grid.