Exact Topology Reconstruction of Radial Dynamical Systems with Applications to Distribution System of the Power Grid

TL;DR

This paper introduces a precise method for reconstructing the topology of radial dynamical systems, such as power distribution networks, using Wiener filtering to accurately identify true connections and eliminate spurious links.

Contribution

The work presents a novel three-stage reconstruction procedure that guarantees exact topology recovery for tree-structured systems using multivariate Wiener filtering.

Findings

Successfully reconstructs the distribution system topology

Eliminates spurious edges in Wiener filtering-based methods

Demonstrates effectiveness on electric grid distribution system

Abstract

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.