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Fast Security Evaluation for Operation of Water Distribution Systems\n Against Extreme Conditions

2021/03/02 by Mostafa Goodarzi, Dan Wu, Goodarzi, Mostafa +3
Engineering · #Electricity Theft Detection Techniques #FOS: Electrical engineering #Systems and Control (eess.SY) #Water Systems and Optimization #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2103.02146

openalex publication_date 2021/03/02 · openalex created_date 2021/08/02 · openalex updated_date 2026/07/28

Abstract

This paper defines a security injection region (SIR) to guarantee reliable\noperation of water distribution systems (WDS) under extreme conditions. The\nmodel of WDSs is highly nonlinear and nonconvex. Understanding the accurate\nSIRs of WDSs involves the analysis of nonlinear constraints, which is\ncomputationally expensive. To reduce the computational burden, this paper first\ninvestigates the convexity of the SIR of WDSs under certain conditions. Then,\nan algorithm based on a monotone inner polytope sequence is proposed to\neffectively and accurately determine these SIRs. The proposed algorithm\nestimates a sequence of inner polytopes that converge to the whole convex\nregion. Each polytope adds a new area to the SIR. The algorithm is validated on\ntwo different WDSs, and the conclusion is drawn. The computational study shows\nthis method is applicable and fast for both systems.\n

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