Leak Detection, Size Estimation and Localization in Pipe Flows

Abstract

We design a leak detection system consisting of an adaptive observer based on a set of two coupled one dimensional first order hyperbolic partial differential equations governing the flow dynamics. It is assumed that measurements are only available at the inlet and outlet of the pipe. Convergence properties are provided showing that the leak size estimation problem can be tackled independently from how the leak is distributed along the pipe. This is key to obtaining a simple estimation scheme for the leak location. Simulations are provided to demonstrate the ability of the system to detect, quantify and locate leaks.0018-9286 (c)

Stability Analysis for a Class of Linear $2\times 2$ Hyperbolic PDEs Using a Backstepping Transform

“…, where 1 r1 > 0 and 1 r2 > 0 are the transport velocities associated to the two transport equations (6) and 7respectively. The coefficients σ 1 and σ 2 represent constant in-domain couplings between the PDEs.…”

“…They appear in many practically relevant engineering models, including those of electric transmission lines [1], hydraulic channels [2], pipelines [3]- [4], heat exchangers [5] and oil well drilling [6]. Different control approaches have been employed for the stabilization or observation of such systems (see for instance [6], [7], [8], [9], [10] and [11]). These control designs are accompanied by a stability analysis to ensure that the resulting closed-loop system (or, equivalently, the target system in the case of backstepping control) is stable.…”

Su Şebekelerinde Çoklu Sızıntı Tespiti ve İzolasyonu için Etkin Bir Gözetleyici Tasarımı

“…A modelbased approach has been proposed to locate leaks in a pipeline using flow and pressure sensors in [Verde, 2005]. Aamo has designed a leak detection system in which flow dynamics are managed with an adaptive observer [Aamo, 2016]. In [Navarro et al, 2017], real-time leak isolation with fitting loss coefficent calibration in a pipeline was designed.…”

A Gas Leakage Localization Method Based on a Virtual Ultrasonic Sensor Array

“…Gas leakage, which leads to serious environmental damage and industrial hazards, is of great importance in the industrial field, with leakage sources including pressure vessels, pipes and tanks [1,2,3]. Therefore, establishing a method for the quick detection and accurate localization of leakage sources has become a challenge that demands an urgent solution.…”