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arXiv · 2410.17553

Electric Grid Topology and Admittance Estimation: Quantifying Phasor-based Measurement Requirements

Norak Rin·Iman Shames·Ian R. Petersen·Elizabeth L. Ratnam
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Abstract

In this paper, we quantify voltage and current phasor-based measurement requirements for the unique estimation of the electric grid topology and admittance parameters. Our approach is underpinned by the concept of a rigidity matrix that has been extensively studied in graph rigidity theory. Specifically, we show that the rank of the rigidity matrix is the same as that of a voltage coefficient matrix in a corresponding electric power system. Accordingly, we show that there is a minimum number of measurements required to uniquely estimate the admittance matrix and corresponding grid topology. By means of a numerical example on the IEEE 4-node radial network, we demonstrate that our approach is suitable for applications in electric power grids.

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Norak Rin, Iman Shames, Ian R. Petersen, Elizabeth L. Ratnam. 2024-10-23. Electric Grid Topology and Admittance Estimation: Quantifying Phasor-based Measurement Requirements. https://arxiv.org/abs/2410.17553

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