Modulating Function-Based Leak Detection, Size Estimation and Localization for a Water Pipe Prototype

Julius Rubmann, Matti Noack, Johann Reger, Gustavo Pérez-Zuñiga

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose a new method for leak detection and localization in water pipes based on a mathematical model that describes the flow dynamics by two coupled linear first order hyperbolic partial differential equations. Using the modulating function approach, a system of auxiliary PDEs is derived and solved in order to obtain appropriate modulating functions. This allows estimating the leak size and the leak position, resorting to algebraic I/O equations only. For this purpose, no spatial discretization of the PDE model is needed. The theoretical results are validated with experimental data from a water pipe prototype and the performance of the proposed approach is evaluated in comparison to an existing late lumping model-based leak detection system.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages347-353
Number of pages7
ISBN (Electronic)9783907144107
DOIs
StatePublished - 2024
Event2024 European Control Conference, ECC 2024 - Stockholm, Sweden
Duration: 25 Jun 202428 Jun 2024

Publication series

Name2024 European Control Conference, ECC 2024

Conference

Conference2024 European Control Conference, ECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/2428/06/24

Keywords

  • Leak detection
  • modulating function
  • partial differential equation
  • water pipeline system

Fingerprint

Dive into the research topics of 'Modulating Function-Based Leak Detection, Size Estimation and Localization for a Water Pipe Prototype'. Together they form a unique fingerprint.

Cite this