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arXiv · 2304.06676

Simultaneous recovery of a sparse topology and the admittance of an electrical network

Álvaro Samperio
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Abstract

We show that the problem of recovering the topology and admittance of an electrical network from power and voltage data at all vertices is often ill-posed, and sometimes it even has multiple solutions. We reformulate the problem to seek for a sparse network, i.e., with few edges, which fits the data up to a given tolerance. We propose an algorithm to solve this reformulated problem. It combines, in an iterative procedure, the resolution of non-negative linear regression problems, and techniques of spectral graph sparsification. The algorithm is based on original results bounding the fitting error of a sparse approximation of a network. We illustrate our techniques with several experimental results in which we are able to recover a sparse network.

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Álvaro Samperio. 2023-04-13. Simultaneous recovery of a sparse topology and the admittance of an electrical network. https://doi.org/10.1007/978-3-032-00567-0_4

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