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

Rubmann J.; Noack M.; Reger J.; Pérez-Zuñiga G. · 2024 European Control Conference, ECC 2024 (2024) · DOI: 10.23919/ecc64448.2024.10591312

Resumen

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.

Instituciones: Pontificia Universidad Católica del Perú