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CONTROLO 2016 pp 285-295 | Cite as

PDE Model for Leakage Detection in High Pressure Gas Networks

  • T.-P. Azevedo Perdicoúlis
  • R. Almeida
  • P. Lopes dos Santos
  • G. Jank
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 402)

Abstract

In this paper we design a model based method to locate a leakage and estimate its size in a gas network, using a linearised version of an hyperbolic PDE. To do this, the problem is reduced to two identical ODEs, allowing in this way for a representation of the pressure as well as the mass flow in terms of its system of fundamental solutions. Then using the available measurements at the grid boundary points, the correspondent coefficients can be determined. Assuming pressure continuity, we check for consistency of the coefficients in order to find faulty pipelines. Thence, the location of the leakage can be found either graphically or using a numerical method for a specific pipe. Next, its size can also be estimated.

Keywords

Leakage detection Leakage location Gas networks PDE linearisation 

Notes

Acknowledgments

The first author is financed by FCT (Project ref. UID/EEA/00048/2013). The second author is financed by Portuguese Funds through FCT, within the Project UID/MAT/00013/2013.

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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • T.-P. Azevedo Perdicoúlis
    • 1
  • R. Almeida
    • 2
  • P. Lopes dos Santos
    • 3
  • G. Jank
    • 4
  1. 1.UTAD and ISR CoimbraCoimbraPortugal
  2. 2.UTAD and Mathematics Centre CMATPole CMAT-UTADBragaPortugal
  3. 3.Faculdade de Engenharia da Universidade do PortoPortoPortugal
  4. 4.Aachen UniversityAachenGermany

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