Electric Grid Topology and Admittance Estimation: Quantifying Phasor-based Measurement Requirements
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912232719253504 |
|---|---|
| author | Rin, Norak Shames, Iman Petersen, Ian R. Ratnam, Elizabeth L. |
| author_facet | Rin, Norak Shames, Iman Petersen, Ian R. Ratnam, Elizabeth L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17553 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electric Grid Topology and Admittance Estimation: Quantifying Phasor-based Measurement Requirements Rin, Norak Shames, Iman Petersen, Ian R. Ratnam, Elizabeth L. Systems and Control 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. |
| title | Electric Grid Topology and Admittance Estimation: Quantifying Phasor-based Measurement Requirements |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2410.17553 |