A Topological Investigation of Power Flow

Journal article (2018)

Authors

H. Çetinay Iyicil Network Architectures and Services - EEMCS
F.A. Kuipers Embedded Systems - EEMCS
P.F.A. Van Mieghem Network Architectures and Services - EEMCS
Research Group
Network Architectures and Services (EEMCS) (TU Delft)
Copyright: © 2018 H. Çetinay Iyicil , F.A. Kuipers, P.F.A. Van Mieghem
DOI
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https://doi.org/10.1109/JSYST.2016.2573851
Sensitivity analysis Network topology Power grids Load flow Complex networks
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Published Date

2018

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Quantum & Computer Engineering

Research Group

Network Architectures and Services

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.

Files

Systems2016.pdf
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