Spectral Graph Analysis of the Geometry of Power Flows in Transmission Networks
| Autor: | J. G. Caputo, Nicolas Retière, Dinh Truc Ha |
|---|---|
| Přispěvatelé: | Laboratoire de Génie Electrique de Grenoble (G2ELab ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Laboratoire de Mathématiques de l'INSA de Rouen Normandie (LMI), Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU) |
| Rok vydání: | 2020 |
| Předmět: |
Power graph analysis
021103 operations research Computer Networks and Communications Computer science [SPI.NRJ]Engineering Sciences [physics]/Electric power 0211 other engineering and technologies Graph theory 02 engineering and technology Grid Topology Computer Science Applications Power (physics) Electric power system Transmission (telecommunications) Control and Systems Engineering Line (geometry) Electrical and Electronic Engineering Laplacian matrix Information Systems |
| Zdroj: | IEEE Systems Journal IEEE Systems Journal, 2020, 14 (2), pp.2736--2747. ⟨10.1109/JSYST.2019.2928852⟩ |
| ISSN: | 2373-7816 1932-8184 |
| DOI: | 10.1109/jsyst.2019.2928852 |
| Popis: | WOS:000543049900114; Power flows in transmission networks are driven by the structure of the network and the spatial distribution of generators and loads. Understanding the interplay between grid, generators, and loads is crucial for efficient and robust planning and management of electrical networks. Using the spectral properties of the graph Laplacian, we show that we can express power flows on the basis of Laplacian eigenvectors and reveal the dominant modes for nodal voltages and branch powers. The bus voltages are dominated by low rank modes. The power in the lines depends on the nodal distribution of generators/loads, the line impedances, and the gradient of the eigenvectors across the branches. The most loaded lines and their associated dominant mode are then identified. A modification of the bus powers is finally proposed to better share the load between the lines and, hence, to decrease the system vulnerability. Results provided for several IEEE transmission test systems prove the relevance of the approach and suggest practical guidelines to improve the operation of power systems. |
| Databáze: | OpenAIRE |
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