A Centrality Measure for Electrical Networks

Hines, Paul; Blumsack, Seth

doi:10.1109/hicss.2008.5

Cited by 150 publications

(89 citation statements)

References 24 publications

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“…However, the opposing community asserts that the pure topological CN approach loses the details of the physics behind Kirchhoff's laws and fails at predicting important aspects of power grids. In this respect, as mentioned, hybrid approaches include concepts from EE [82][83][84]96,[98][99][100][101][102]. Nonetheless, the CN approach with purely topological analysis (or even with extended ones to take into account minimal electrical information [34]) has been found to be useful to detect critical elements and to assess topological robustness [35,97,103].…”

Section: Discussion: Is the Cn Approach Useful In Power Grids?mentioning

confidence: 99%

Optimizing the Structure of Distribution Smart Grids with Renewable Generation against Abnormal Conditions: A Complex Networks Approach with Evolutionary Algorithms

et al. 2017

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Abstract:In this work, we describe an approach that allows for optimizing the structure of a smart grid (SG) with renewable energy (RE) generation against abnormal conditions (imbalances between generation and consumption, overloads or failures arising from the inherent SG complexity) by combining the complex network (CN) and evolutionary algorithm (EA) concepts. We propose a novel objective function (to be minimized) that combines cost elements, related to the number of electric cables, and several metrics that quantify properties that are beneficial for SGs (energy exchange at the local scale and high robustness and resilience). The optimized SG structure is obtained by applying an EA in which the chromosome that encodes each potential network (or individual) is the upper triangular matrix of its adjacency matrix. This allows for fully tailoring the crossover and mutation operators. We also propose a domain-specific initial population that includes both small-world and random networks, helping the EA converge quickly. The experimental work points out that the proposed method works well and generates the optimum, synthetic, small-world structure that leads to beneficial properties such as improving both the local energy exchange and the robustness. The optimum structure fulfills a balance between moderate cost and robustness against abnormal conditions. Our approach should be considered as an analysis, planning and decision-making tool to gain insight into smart grid structures so that the low level detailed design is carried out by using electrical engineering techniques.

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Section: Discussion: Is the Cn Approach Useful In Power Grids?mentioning

confidence: 99%

Optimizing the Structure of Distribution Smart Grids with Renewable Generation against Abnormal Conditions: A Complex Networks Approach with Evolutionary Algorithms

et al. 2017

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“…The recent work of Hines et al [22,33,43] as well as Bompard et al [27,44,45] points towards the role of internode electrical distance measures in elucidating the structural features of power systems. Earlier works have used electric distance measures in a number of roles: [46] introduced nodeto-node voltage attenuation distances and used them in identifying voltage control zones; [47] used the same in assessing system voltage security; [48] to partition a system into localized reactive power markets; [49] used impedance sub-matrices to relate load and generator voltages as a distance metric for transmission use-of-system charging; later, and seemingly independently, Abdelkader et al [50][51][52] used closely related sub-matrices for power flow tracing and loss allocation purposes.…”

Section: B Candidate Distance Measuresmentioning

confidence: 99%

“…Certain authors [43] have simply used the off-diagonal elements of a system's Zbus matrix to populate a system distance matrix. The diagonal elements of the Zbus matrix are not generally zero, suggesting that it does not inherently encode distance information.…”

Section: ) Mutual Impedance Distancementioning

confidence: 99%

Visualizing the Electrical Structure of Power Systems

Cuffe

Keane

2017

IEEE Systems Journal

106

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“…The electrical centrality measure [4] assesses the structure of a network as a function of its electrical topology instead of its physical topology. Unlike the situation with conventional measures of network structure, power networks appear to have a scale-free structure when measured electrically; specifically, power networks have a number of highly-connected "hub" buses that should be examined thoroughly.…”

Section: Related Workmentioning

confidence: 99%