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Don't go chasing artificial waterfalls: Artificial line limits and cascading failures in power grids

Bourne, J; O'Sullivan, A; Arcaute, E; (2019) Don't go chasing artificial waterfalls: Artificial line limits and cascading failures in power grids. Chaos: An Interdisciplinary Journal of Nonlinear Science , 29 (11) , Article 113117. 10.1063/1.5115493. Green open access

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Abstract

Research on cascading failures in power-transmission networks requires detailed data on the capacity of individual transmission lines. However, these data are often unavailable to researchers. Consequently, line limits are often modeled by assuming that they are proportional to some average load. However, there is scarce research to support this assumption as being realistic. In this paper, we analyze the proportional loading (PL) approach and compare it to two linear models that use voltage and initial power flow as variables and are trained on the line limits of a real power network that we have access to. We compare these artificial line-limit methods using four tests: the ability to model true line limits, the damage done during an attack, the order in which edges are lost, and accuracy ranking the relative performance of different attack strategies. We find that the linear models are the top-performing method or are close to the top in all the tests we perform. In comparison, the tolerance value that produces the best PL limits changes depending on the test. The PL approach was a particularly poor fit when the line tolerance was less than two, which is the most commonly used value range in cascading failure research. We also find indications that the accuracy of modeling line limits does not indicate how well a model will represent grid collapse. The findings of this paper provide an understanding of the weaknesses of the PL approach and offer an alternative method of line-limit modeling.

Type: Article
Title: Don't go chasing artificial waterfalls: Artificial line limits and cascading failures in power grids
Open access status: An open access version is available from UCL Discovery
DOI: 10.1063/1.5115493
Publisher version: https://doi.org/10.1063/1.5115493
Language: English
Additional information: All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Base load, Electrical grid, Electric currents, Graph theory, Electrical properties and parameters, Power transmission, Covariance and correlation, Order relation, High voltage technology
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis
URI: https://discovery.ucl.ac.uk/id/eprint/10110068
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