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Applications of ordinary voltage graph theory to graph embeddability
Journal of Graph Theory, 2015Let p be a prime greater than 5. We show that, while the generalized Petersen graphs of the form GP(2p,2) have cellular toroidal embeddings, they have no such embeddings having the additional property that a free action of a group on the graph extends to
S. Schluchter
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On Modeling Voltage Phasor Measurements as Graph Signals
2019 IEEE Data Science Workshop (DSW), 2019While the graph theoretic properties pertaining to the electrical grid are well known, the field of graph signal processing offers new insights and understanding about the measurements from the electrical grid.
Raksha Ramakrishna, A. Scaglione
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FAST COMPUTATIONS IN VOLTAGE GRAPH THEORY
Annals of the New York Academy of Sciences, 1979SummaryThis paper introduces convenient algorithms to determine two properties of the covering space derived from a voltage assignment on an imbedded graph. One algorithm is to count the number of components of the covering. The other is to decide when the covering surface is orientable.
J. Gross, T. Tucker
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Voltage graph embeddings and the associated block designs
Journal of Graph Theory, 1979The voltage graph construction of Gross (orientable case) and Stahl as well as Gross and Tucker (nonorientable case) is extended to the case where the base graph is embedded in a pseudosurface or a generalized pseudosurface.
B. Garman
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Voltage collapse analysis in a graph theoretical framework
2015 IEEE PES Innovative Smart Grid Technologies Latin America (ISGT LATAM), 2015Voltage collapse is a type of failure with major influence in blackouts. Blackouts, although infrequent, are costly to society. For the Smart grid, integration of new technologies, new policies, and increasing power demand makes the power system becoming more disturbed, which increases the possibility of voltage collapses of all size.
C. Caro-Ruiz, E. Mojica-Nava
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Localization of faults in low voltage networks by the graph method
2016 IEEE 11th International Symposium on Applied Computational Intelligence and Informatics (SACI), 2016Low voltage networks are of high importance within electric energy systems due to their relative big extent. Their primary task is to fulfill in a secure and efficient way the energy requirements of the consumers at the endpoints. The method by which the eventual faults within the networks are localized helps to improve the safety of the energy supply.
Judith Pálfi
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IEEE Transactions on Power Systems, 2023
This letter proposes a novel data-driven probabilistic physics-informed graph convolutional network (GCN) for active distribution system voltage prediction with PVs and EVs.
Tong Su +3 more
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This letter proposes a novel data-driven probabilistic physics-informed graph convolutional network (GCN) for active distribution system voltage prediction with PVs and EVs.
Tong Su +3 more
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Predicting Power System Voltage Health Index with PMUs and Graph Convolutional Networks
IEEE Power & Energy Society General Meeting, 2023This paper develops a power system voltage health index prediction model using the graph convolutional network (GCN). Different power system operating conditions with varying loading levels and online generation are served as inputs to infer the system ...
Koji Yamashita +4 more
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