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

TL;DR

This paper introduces a novel algorithm to efficiently compute the security injection region of water distribution systems under extreme conditions, ensuring reliable operation with reduced computational effort.

Contribution

It proposes a new algorithm based on a monotone inner polytope sequence to accurately and efficiently determine the security injection regions of nonlinear water distribution systems.

Findings

The algorithm converges to the true security injection region.

It is computationally fast and applicable to different water distribution systems.

The method effectively reduces the complexity of nonlinear constraint analysis.

Abstract

This paper defines a security injection region (SIR) to guarantee reliable operation of water distribution systems (WDS) under extreme conditions. The model of WDSs is highly nonlinear and nonconvex. Understanding the accurate SIRs of WDSs involves the analysis of nonlinear constraints, which is computationally expensive. To reduce the computational burden, this paper first investigates the convexity of the SIR of WDSs under certain conditions. Then, an algorithm based on a monotone inner polytope sequence is proposed to effectively and accurately determine these SIRs. The proposed algorithm estimates a sequence of inner polytopes that converge to the whole convex region. Each polytope adds a new area to the SIR. The algorithm is validated on two different WDSs, and the conclusion is drawn. The computational study shows this method is applicable and fast for both systems.