A novel matrix based systematic approach for vulnerability assessment

Aref Doroudi | Hamed Sabouhi | Mahmud Fotuhi-Firuzabad | Mahdi Bashiri

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URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=147962
Date :  2021/01/01
Publish in :     COMPEL-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
DOI :  https://doi.org/10.1108/COMPEL-01-2020-0031
Link :  http://dx.doi.org/10.1108/COMPEL-01-2020-0031
Keywords :Axiomatic design, Critical nodes, Counting of possible routes, Disruption, Load importance, Structural vulnerability, Systematic matrix-based approach, Traditional graph theory.

Abstract :

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Purpose – This paper proposes a novel systematic matrix-based approach to identify the most critical nodes in a power system considering the importance of loads. Design/methodology/approach – The proposed method consists of two major steps. First, the power network is modeled as a topological combination of edges (transmission lines, transformers, etc.) and nodes (buses, substations, etc.). The second step is to use an axiomatic design based index for topology analysis. This index is based on the systematic counting of possible routes from the start (generators) to destination (loads), considering load importance, before and after a disruption. Findings – The effectiveness of the proposed method is demonstrated through an illustrative example and the IEEE 14-bus power system. It was shown that the loads importance influences the results of the vulnerability analysis. The proposed method has some advantages over traditional graph theory such as an explicit description of multiple transmission nodes and assets with multiple conversion processes. Furthermore, it would help the power grid operators and asset investment managers to be better to assess the vulnerable components. Research limitations/implications – The proposed method can be used in planning, optimization, robustness and, hardening of power systems. Originality/value – The manuscript presents a matrix-based systematic approach to evaluate and quantify the vulnerability of the power grids components.