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Reliability Assessment of Distribution Systems Using Graph Theory With Optimal Protection, Telecontrol Switch Placement and Distributed Generation Units

Year: 2025
Type: article
Abstract: ABSTRACT The rapid advancement of smart distribution systems, driven by the integration of distributed energy resources, intelligent switching devices and communication‐based control, has considerably increased the complexity of reliability assessment. Traditional evaluation methods, relying on predefined fault cases, iterative simulations, or heuristic techniques, often suffer from scalability challenges and computational burden. To address these limitations, this study presents a generalized, non‐iterative analytical framework grounded in graph‐theoretic principles. Building upon Lemma 1, which restates the classical reachability property of graph theory, where the n‐th power of the adjacency matrix represents node connectivity, the method systematically identifies isolated nodes under diverse network topologies. Building upon this foundation, a fast distribution reliability calculator is developed and linked to each load point, enabling efficient calculation of reliability indices without extensive simulations. Unlike conventional approaches, the proposed framework inherently incorporates realistic modelling of key system elements, such as disconnectors, circuit breakers, remotely operated switches and distributed generation units. Its effectiveness is demonstrated on two networks, including Bus 6 of the 65‐bus Roy Billinton test system and a real 778‐node feeder located in Khorasan Razavi Province, Iran, where the results confirm superior accuracy and computational efficiency. Overall, the method offers a scalable and robust solution for evaluating the reliability and resilience of modern distribution networks.
DOI: 10.1049/gtd2.70202
Language: English
Open Access status: gold
Estimated APC paid: $2,940
OpenAlex ID: W4416631187
FWCI: 2.272
Cites: 34
Cited by: 5
Related to: 10