Print Email Facebook Twitter A Topological Investigation of Power Flow Title A Topological Investigation of Power Flow Author Çetinay Iyicil, H. (TU Delft Network Architectures and Services) Kuipers, F.A. (TU Delft Embedded Systems) Van Mieghem, P.F.A. (TU Delft Network Architectures and Services) Date 2018 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. Subject Complex networksload flownetwork topologypower gridssensitivity analysis To reference this document use: http://resolver.tudelft.nl/uuid:5db3e1f2-edaa-4e23-9ac1-e7e502e48b03 DOI https://doi.org/10.1109/JSYST.2016.2573851 ISSN 1932-8184 Source IEEE Systems Journal, 12 (3), 2524-2532 Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type journal article Rights © 2018 H. Çetinay Iyicil , F.A. Kuipers, P.F.A. Van Mieghem Files PDF Systems2016.pdf 4.93 MB Close viewer /islandora/object/uuid:5db3e1f2-edaa-4e23-9ac1-e7e502e48b03/datastream/OBJ/view