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Preventing Critical Edges when Designing Transmission Networks

Wagner, Dorothea; Wolf, Matthias

When designing an electric transmission grid, it is important to ensure that the resulting grid is reliable. In particular, it should remain operable if one piece of equipment fails (N - 1 criterion). In this work we focus on the failure of single transmission lines. We consider a criticality measure by Witthaut et al., which captures the dynamic behavior of failing lines. The criterion itself is based on maximum graph-theoretic flows in suitably defined residual networks. In a first step, we compare it to the N - 1 criterion and find that networks without critical edges tend to satisfy the N - 1 criterion. We then formulate the criticality measure as set of linear constraints, which may form a building block in transmission network design problems.

In particular, we introduce these constraints into a basic Transmission Network Expansion Planning (TNEP) formulation, obtaining models for the two problems Criticality-Constrained Transmission Network Expansion Planning (CC-TNEP) and Criticality Minimal Expansion (CME). We study the effects of adding these constraints on the time needed for solving the models. Moreover, we provide a simple heuristic for CME, which often finds optimal solutions but in less time.

DOI: 10.1145/3396851.3397735
Zugehörige Institution(en) am KIT Institut für Theoretische Informatik (ITI)
Publikationstyp Proceedingsbeitrag
Publikationsmonat/-jahr 06.2020
Sprache Englisch
Identifikator ISBN: 978-1-4503-8009-6
KITopen-ID: 1000121069
HGF-Programm 37.06.01 (POF III, LK 01)
Networks and Storage Integration
Erschienen in e-Energy '20: The Eleventh ACM International Conference on Future Energy Systems Virtual Event Australia June, 2020
Veranstaltung 11th ACM International Conference on Future Energy Systems (ACM e-Energy 2020), Melbourne, Australien, 22.06.2020 – 26.06.2020
Verlag ACM, New York (NY)
Seiten 264–278
Bemerkung zur Veröffentlichung Die Veranstaltung fand wegen der Corona-Pandemie als Online-Event statt
Vorab online veröffentlicht am 18.06.2020
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