Two Simultaneous Leak Diagnosis in Pipelines Based on Input-Output Numerical Differentiation.

Adrián Navarro-Díaz,Ofelia Begovich,Gildas Besançon,Jorge-Alejandro Delgado-Aguiñaga

doi:10.3390/s21238035

Abstract

This paper addresses the two simultaneous leak diagnosis problem in pipelines based on a state vector reconstruction as a strategy to improve water shortages in large cities by only considering the availability of the flow rate and pressure head measurements at both ends of the pipeline. The proposed algorithm considers the parameters of both leaks as new state variables with constant dynamics, which results in an extended state representation. By applying a suitable persistent input, an invertible mapping in x can be obtained as a function of the input and output, including their time derivatives of the third-order. The state vector can then be reconstructed by means of an algebraic-like observer through the computation of time derivatives using a Numerical Differentiation with Annihilatorsconsidering its inherent noise rejection properties. Experimental results showed that leak parameters were reconstructed with accuracy using a test bed plant built at Cinvestav Guadalajara.

Highlights

In recent decades, climate change and the overuse of natural water resources have caused water scarcity in big cities
Water distribution systems operators (WDSOs) are facing major water losses as high as 65% due to pipeline leaks caused by lack of maintenance, illegal intrusion, or accidents
According to a study performed by the Organisation for Economic Co-operation (OECD), entitled Water Governance in Cities [1], aging water networks have a negative impact in terms of efficiency

Summary

Introduction

Climate change and the overuse of natural water resources have caused water scarcity in big cities. Water distribution systems operators (WDSOs) are facing major water losses as high as 65% due to pipeline leaks caused by lack of maintenance, illegal intrusion, or accidents. According to a study performed by the Organisation for Economic Co-operation (OECD), entitled Water Governance in Cities [1], aging water networks have a negative impact in terms of efficiency. One of the consequences is water loss from pipeline leaks. Water loss in the surveyed cities (in the referred report) was 21% in 2016. For Mexican cities, water loss was more than 40%

Methods

Results

Discussion

Conclusion