Extended topological approach for the assessment of structural vulnerability in transmission networks

Bompard, Ettore; Napoli, Roberto; Xue, Fei

doi:10.1049/iet-gtd.2009.0452

Cited by 113 publications

(104 citation statements)

References 12 publications

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“…In the particular case of power grids, the simplicity embedded in purely topological measures have made them useless for practical purposes. Instead, this approach has been recently extended by considering the following electrical properties [6][7][8]:…”

Section: Extended Topological Measuresmentioning

confidence: 99%

“…But this approach has failed when it has been applied to power systems with different topological characteristics [5], mainly due to the poor definition of purely topological measures, away from the real physical and electrical definition of the system. In order to overcome this limitation, more specific topological measures have been defined [6,7]. Among these better suited to electrical systems extended measures, entropy degree (ED) and electrical betweenness (EB) have been presented as useful means to characterize the topology of the nodes of a power network [8].…”

Section: Introductionmentioning

confidence: 99%

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Correlating empirical data and extended topological measures in power grid networks

Luo

Rosas-Casals

2015

IJCIS

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Abstract. Power grids have entered the complex networks realm for quite a long time now. Their structure (i.e., topology) and dynamics have been thoroughly studied and many topological measures have been used in order to classify them, evaluate their behavior in terms of robustness or model their dynamic response to malfunctions. Generally speaking, results have been mainly theoretical and sound correlations between real grid's dynamical behavior (i.e., malfunctions and major events) and any of the mentioned before measures have not yet been found. In recent years, though, new extended topological measures have been used to quantify the ability of a network in sustaining its basic functions. In this paper we present a first attempt to correlate these new measures with real malfunction data for some major European power transmission grids. Similar behavior is found, in terms of robustness to selected attacks to buses, between different networks. This is measured by means of extended topological indexes electrically better defined. These behaviors can be (weakly) correlated with similar probability distributions of major events, identifying similar dynamical response among topologically similar grids. This would raise hopes in finding a more meaningful and significant linkage between structural measures and the real dynamical output (i.e., major events) of a grid.

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Section: Extended Topological Measuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Correlating empirical data and extended topological measures in power grid networks

Luo

Rosas-Casals

2015

IJCIS

View full text Add to dashboard Cite

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“…Multiple methods were introduced in [4][5][6][7][8][9][10][11] to assess the vulnerability of conventional power systems. These studies ignore the cyber layer and focus on physical layer vulnerability assessment.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Vulnerability Analysis of Cyber-Physical Power Systems Considering Network Topology and Power Flow Properties

et al. 2017

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Conventional power systems are developing into cyber-physical power systems (CPPS) with wide applications of communication, computer and control technologies. However, multiple practical cases show that the failure of cyber layers is a major factor leading to blackouts. Therefore, it is necessary to discuss the cascading failure process considering cyber layer failures and analyze the vulnerability of CPPS. In this paper, a CPPS model, which consists of cyber layer, physical layer and cyber-physical interface, is presented using complex network theory. Considering power flow properties, the impacts of cyber node failures on the cascading failure propagation process are studied. Moreover, two vulnerability indices are established from the perspective of both network structure and power flow properties. A vulnerability analysis method is proposed, and the CPPS performance before and after cascading failures is analyzed by the proposed method to calculate vulnerability indices. In the case study, three typical scenarios are analyzed to illustrate the method, and vulnerabilities under different interface strategies and attack strategies are compared. Two thresholds are proposed to value the CPPS vulnerability roughly. The results show that CPPS is more vulnerable under malicious attacks and cyber nodes with high indices are vulnerable points which should be reinforced.

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“…Traditional power system security analysis involves voltage stability [3,4], rotor angle stability, topological structure vulnerability [5], risk evaluation [6,7], extreme contingencies [8], etc. To accurately and efficiently assess power system security, large amounts of machine learning tools such as decision trees [9], extreme learning machine [10], and support vector machines [11] provide promising solutions.…”

Section: Introductionmentioning

confidence: 99%

A Security Level Classification Method for Power Systems under N-1 Contingency

Zhang³

et al. 2017

Energies

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Security assessment is crucial for the reliable and secure operation of power systems. This paper proposes a security level classification (SLC) method to analyze the security level of power systems both qualitatively and quantitatively. In this SLC method, security levels are graded according to a comprehensive safety index (CSI), which is defined by integrating the system margin index (SMI) and load entropy. The SMI depends on the operating load and the total supply capacity (TSC) under N-1 contingency, and the load entropy reflects the heterogeneity of load distribution calculated from entropy theory. In order to calculate the TSC under N-1 contingency considering both of the computational accuracy and speed, the TSC is converted into an extended conic quadratic programming (ECQP) model. In addition, the load boundary vector (LBV) model is established to obtain the capacity limit of each load bus, and thus detect potential risks of power systems. Finally, two modified practical power systems and the IEEE 118-bus test system are studied to validate the feasibility of the proposed SLC method.

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Extended topological approach for the assessment of structural vulnerability in transmission networks

Cited by 113 publications

References 12 publications

Correlating empirical data and extended topological measures in power grid networks

Correlating empirical data and extended topological measures in power grid networks

Modeling and Vulnerability Analysis of Cyber-Physical Power Systems Considering Network Topology and Power Flow Properties

A Security Level Classification Method for Power Systems under N-1 Contingency

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