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A Topological Sorting Approach to Identify Coherent Cut-sets within Power Grids
Author(s)
Date Issued
2020-01
Date Available
2019-08-20T06:55:24Z
Abstract
This paper proposes a new technique to identify sets of branches that form heavily loaded and potentially vulnerable flowgates within power grids. To this end, a directed acyclic graph is used to model the instantaneous state of power grids. One of the advantages of directed acyclic graphs is they allow the identification of where power flows are coherent e.g where power flows in a uniform direction along a set of branches that partition the network into two islands. This paper uses topological sorts to identify many sets of branches having this property. Definitions are provided for two new concepts, termed coherent cut-sets and coherent crack-sets, which are particular sets of branches extracted from a specific topological sort. Notably, there are numerous possible topological sorts for a directed acyclic graph and calculating distinctive topological sorts is challenging. In this paper a novel optimization algorithm is proposed to find multiple, diverse topological sorts each of which implies many cut-sets. The effectiveness of the proposed methods for enhancing grid observability and situational awareness is demonstrated using two standard test networks.
Sponsorship
Science Foundation Ireland
Type of Material
Journal Article
Publisher
Institute of Electrical and Electronics Engineers
Journal
IEEE Transactions on Power Systems
Volume
35
Issue
1
Start Page
721
End Page
730
Copyright (Published Version)
2019 IEEE
Language
English
Status of Item
Peer reviewed
ISSN
0885-8950
This item is made available under a Creative Commons License
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Final author's copy A Topological Sorting Approach to Identify Coherent Cut-sets within Power Gr.pdf
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