Power grid vulnerability: A complex network approach

Arianos, Sergio; Bompard, Ettore; Carbone, Anna Filomena; Xue, Fei

doi:10.1063/1.3077229

Cited by 292 publications

(201 citation statements)

References 44 publications

Supporting

Mentioning

196

Contrasting

Unclassified

Order By: Relevance

“…Finding network topologies that enhance the stability of power grids has been an active subfield of network theory. Previous studies have typically focused on the structural vulnerability of power grids against external attacks [1][2][3][4][5][6][7] and the cascading spreading of system failure over power grids [6,[8][9][10]. In addition, researchers have studied the relation between topology and dynamics via network synchronization models.…”

Section: Introductionmentioning

confidence: 99%

Building blocks of the basin stability of power grids

2016

View full text Add to dashboard Cite

Given a power grid and a transmission (coupling) strength, basin stability is a measure of synchronization stability for individual nodes. Earlier studies have focused on the basin stability's dependence of the position of the nodes in the network for single values of transmission strength. Basin stability grows from zero to one as transmission strength increases, but often in a complex, nonmonotonous way. In this study, we investigate the entire functional form of the basin stability's dependence on transmission strength. To be able to perform a systematic analysis, we restrict ourselves to small networks. We scan all isomorphically distinct networks with an equal number of power producers and consumers of six nodes or less. We find that the shapes of the basin stability fall into a few, rather well-defined classes, that could be characterized by the number of edges and the betweenness of the nodes, whereas other network positional quantities matter less.

show abstract

Section: Introductionmentioning

confidence: 99%

Building blocks of the basin stability of power grids

2016

View full text Add to dashboard Cite

show abstract

“…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%

“…An interesting research line belonging to hybrid approaches is the extended topological approach [34,[82][83][84][85]. It includes in the CN methodology novel metrics such as the "entropy degree".…”

Section: Background: Hybrid Approaches Combining Complex Network Andmentioning

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

View full text Add to dashboard Cite

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.

show abstract

“…But the above load definitions lose sight of the electrical specification of the grid [22] and power transmission doesn't follow the Kirchhoff's Law. In addition, Bompard and Xu et al used the extended betweenness [23][24][25] or electrical betweenness [26][27][28][29] based on power transfer distribution factor (PTDF) as the load in the power grid. However, the extended or electrical betweenness identifies the criticality of lines from a structural point of view without considering operational states of power system.…”

Section: Introductionmentioning

confidence: 99%

Cascading failure analysis of power flow on wind power based on complex network theory

Sun

Tang

2014

J. Mod. Power Syst. Clean Energy

View full text Add to dashboard Cite

Cascading failure is a potential threat in power systems with the scale development of wind power, especially for the large-scale grid-connected and long distance transmission wind power base in China. This introduces a complex network theory (CNT) for cascading failure analysis considering wind farm integration. A cascading failure power flow analysis model for complex power networks is established with improved network topology principles and methods. The network load and boundary conditions are determined to reflect the operational states of power systems. Three typical network evaluation indicators are used to evaluate the topology characteristics of power network before and after malfunction including connectivity level, global effective performance and percentage of load loss (PLL). The impacts of node removal, grid current tolerance capability, wind power instantaneous penetrations, and wind farm coupling points on the power grid are analyzed based on the IEEE 30 bus system. Through the simulation analysis, the occurrence mechanism and main influence factors of cascading failure are determined. Finally, corresponding defense strategies are proposed to reduce the hazards of cascading failure in power systems.

show abstract

Power grid vulnerability: A complex network approach

Cited by 292 publications

References 44 publications

Building blocks of the basin stability of power grids

Building blocks of the basin stability of power grids

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

Cascading failure analysis of power flow on wind power based on complex network theory

Contact Info

Product

Resources

About