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A Topological Investigation of Power Flow. / Cetinay, Hale; Kuipers, Fernando A.; Van Mieghem, Piet.

In: IEEE Systems Journal, Vol. 12, No. 3, 2018, p. 2524-2532.

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Cetinay, Hale ; Kuipers, Fernando A. ; Van Mieghem, Piet. / A Topological Investigation of Power Flow. In: IEEE Systems Journal. 2018 ; Vol. 12, No. 3. pp. 2524-2532.

BibTeX

@article{5db3e1f2edaa4e239ac1e7e502e48b03,
title = "A Topological Investigation of Power Flow",
abstract = "This paper combines the fundamentals of an electrical grid, such as flow allocation according to Kirchhoff’s laws and the effect of transmission line reactances with spectral graph theory, and expresses the linearized power flow behaviour in slack-bus independent weighted graph matrices to assess the relation between the topological structure and the physical behaviour of a power grid. Based on the pseudoinverse of the weighted network Laplacian, the paper further analytically calculates the effective resistance (Thevenin) matrix and the sensitivities of active power flows to the changes in network topology by means of transmission line removal and addition. Numerical results for the IEEE 118-bus power system are demonstrated to identify the critical components to cascading failures, node isolation, and Braess’ paradox in a power grid.",
keywords = "Complex networks, load flow, network topology, power grids, sensitivity analysis",
author = "Hale Cetinay and Kuipers, {Fernando A.} and {Van Mieghem}, Piet",
note = "Accepted Author Manuscript",
year = "2018",
doi = "10.1109/JSYST.2016.2573851",
language = "English",
volume = "12",
pages = "2524--2532",
journal = "IEEE Systems Journal",
issn = "1932-8184",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "3",

}

RIS

TY - JOUR

T1 - A Topological Investigation of Power Flow

AU - Cetinay, Hale

AU - Kuipers, Fernando A.

AU - Van Mieghem, Piet

N1 - Accepted Author Manuscript

PY - 2018

Y1 - 2018

N2 - This paper combines the fundamentals of an electrical grid, such as flow allocation according to Kirchhoff’s laws and the effect of transmission line reactances with spectral graph theory, and expresses the linearized power flow behaviour in slack-bus independent weighted graph matrices to assess the relation between the topological structure and the physical behaviour of a power grid. Based on the pseudoinverse of the weighted network Laplacian, the paper further analytically calculates the effective resistance (Thevenin) matrix and the sensitivities of active power flows to the changes in network topology by means of transmission line removal and addition. Numerical results for the IEEE 118-bus power system are demonstrated to identify the critical components to cascading failures, node isolation, and Braess’ paradox in a power grid.

AB - This paper combines the fundamentals of an electrical grid, such as flow allocation according to Kirchhoff’s laws and the effect of transmission line reactances with spectral graph theory, and expresses the linearized power flow behaviour in slack-bus independent weighted graph matrices to assess the relation between the topological structure and the physical behaviour of a power grid. Based on the pseudoinverse of the weighted network Laplacian, the paper further analytically calculates the effective resistance (Thevenin) matrix and the sensitivities of active power flows to the changes in network topology by means of transmission line removal and addition. Numerical results for the IEEE 118-bus power system are demonstrated to identify the critical components to cascading failures, node isolation, and Braess’ paradox in a power grid.

KW - Complex networks

KW - load flow

KW - network topology

KW - power grids

KW - sensitivity analysis

UR - http://resolver.tudelft.nl/uuid:5db3e1f2-edaa-4e23-9ac1-e7e502e48b03

U2 - 10.1109/JSYST.2016.2573851

DO - 10.1109/JSYST.2016.2573851

M3 - Article

VL - 12

SP - 2524

EP - 2532

JO - IEEE Systems Journal

T2 - IEEE Systems Journal

JF - IEEE Systems Journal

SN - 1932-8184

IS - 3

ER -

ID: 46032575