A Topological Investigation of Power Flow

被引：25

作者：

Cetinay, Hale ^{[1
]}

Kuipers, Fernando A. ^{[1
]}

Van Mieghem, Piet ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, NL-2600 GA Delft, Netherlands

来源：

IEEE SYSTEMS JOURNAL | 2018年 / 12卷 / 03期

关键词：

Complex networks; load flow; network topology; power grids; sensitivity analysis; STRUCTURAL VULNERABILITY;

D O I：

10.1109/JSYST.2016.2573851

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2524 / 2532

页数：9

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