Mathematics > Optimization and Control
[Submitted on 4 Dec 2018 (v1), last revised 30 Nov 2020 (this version, v5)]
Title:Evaluating Resilience of Electricity Distribution Networks via A Modification of Generalized Benders Decomposition Method
View PDFAbstract:This paper presents a computational approach to evaluate the resilience of electricity Distribution Networks (DNs) to cyber-physical failures. In our model, we consider an attacker who targets multiple DN components to maximize the loss of the DN operator. We consider two types of operator response: (i) Coordinated emergency response; (ii) Uncoordinated autonomous disconnects, which may lead to cascading failures. To evaluate resilience under response (i), we solve a Bilevel Mixed-Integer Second-Order Cone Program which is computationally challenging due to mixed-integer variables in the inner problem and non-convex constraints. Our solution approach is based on the Generalized Benders Decomposition method, which achieves a reasonable tradeoff between computational time and solution accuracy. Our approach involves modifying the Benders cut based on structural insights on power flow over radial DNs. We evaluate DN resilience under response (ii) by sequentially computing autonomous component disconnects due to operating bound violations resulting from the initial attack and the potential cascading failures. Our approach helps estimate the gain in resilience under response (i), relative to (ii).
Submission history
From: Devendra Shelar [view email][v1] Tue, 4 Dec 2018 23:23:20 UTC (95 KB)
[v2] Tue, 11 Dec 2018 16:28:03 UTC (95 KB)
[v3] Fri, 10 May 2019 01:54:33 UTC (101 KB)
[v4] Sat, 12 Sep 2020 17:00:24 UTC (632 KB)
[v5] Mon, 30 Nov 2020 22:39:48 UTC (652 KB)
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