Skip to main content

Approximate Models and Parameter Analysis of the Flow Process in Transmission Pipelines

  • Conference paper
  • First Online:
Advanced and Intelligent Computations in Diagnosis and Control

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 386))

Abstract

Basically, the paper deals with the problem of early leak detection in transmission pipelines. First we present the derivation of state-space equations of the flow process in the pipelines. This description is then aggregated in order to obtain a principal model. Next, the problem of process model parametrization is addressed, taking into account the maximization of a model stability margin. The location of the maximum is determined using optimization methods and curve fitting techniques. In such a way an optimal process parametrization is obtained. A simplified state-space model is then derived based on diagonal approximation, referred to as the analytic model (AMDA). Finally, the useful properties of the developed model are analyzed, including the speed and accuracy of an applied inverse matrix.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Belsito, S., Lombardi, P., Andreussi, P., Banerjee, S.: Leak detection in liquefied gas pipelines by artificial neural networks. AIChE 44(12), 2675–2688 (1998)

    Article  Google Scholar 

  2. Billmann, L., Isermann, R.: Leak detection methods for pipelines. Automatica 23(3), 381–385 (1987)

    Article  MATH  Google Scholar 

  3. Brogan, W.: Modern Control Theory, 3rd edn. Prentice Hall, New Jersey (1991)

    MATH  Google Scholar 

  4. Dick, M.: Stabilization of the gas flow in networks: boundary feedback stabilization of quasilinear hyperbolic systems on networks. Ph.D. thesis, Friedrich-Alexander-Universität, Erlangen-Nürnberg (2012)

    Google Scholar 

  5. Da Fonseca, C.M., Petronilho, J.: Explicit inverses of some tridiagonal matrices. Linear Algebra Appl. 325, 7–21 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gunawickrama, K.: Leak detection methods for transmission pipelines. Ph.D. thesis supervised by Z. Kowalczuk, Gdańsk Univeristy of Technology, Gdańsk (2001)

    Google Scholar 

  7. Kowalczuk, Z., Gunawickrama, K.: Detection of leakages in industry pipelines using a cross-correlation approach (in Polish: wykrywanie przecieków w rurociagach przemysłowych metoda̧ korelacyjno-modelowa̧). Pomiary Automatyka Kontrola 44(4), 140–146 (1998)

    Google Scholar 

  8. Kowalczuk, Z., Gunawickrama, K.: Detection and localisation of leaks in transmission pipelines. In: Korbicz, J., Kościelny, J.M., Kowalczuk, Z., Cholewa, W. (eds.) Fault Diagnosis: Models, Artificial Intelligence, Applications, pp. 821–864. Springer, Berlin (2004). Chapter 21

    Chapter  Google Scholar 

  9. Kowalczuk, Z., Tatara, M.: Analytical modeling of flow processes: Analysis of computability of a state-space model. In XI International Conference on Diagnostics of Processes and Systems, pp. 74.1-12 [USB]. Łagów Lubuski (2013). 8–11 September 2013

    Google Scholar 

  10. Reddy, H.P., Narasimhan, S., Bhallamudi, S.M., Bairagi, S.: Leak detection in gas pipeline networks using an efficient state estimator. Part-I: theory and simulations. Comput. Chem. Eng. 35(4), 651–661 (2011)

    Article  Google Scholar 

  11. Strikwerda, J.: Finite Difference Schemes and Partial Differential Equations. SIAM, Philadelphia (2007)

    Google Scholar 

  12. Torres, L., Besançon, G., Verde, C.: Leak detection using parameter identification. The 8th IFAC Symposium SAFEPROCESS-2012, Mexico City, Mexico (2012)

    Google Scholar 

  13. Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K.E.: Probability and Statistics for Engineers and Scientists, 9th edn. Prentice Hall, Boston (2012)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zdzisław Kowalczuk .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Kowalczuk, Z., Tatara, M. (2016). Approximate Models and Parameter Analysis of the Flow Process in Transmission Pipelines. In: Kowalczuk, Z. (eds) Advanced and Intelligent Computations in Diagnosis and Control. Advances in Intelligent Systems and Computing, vol 386. Springer, Cham. https://doi.org/10.1007/978-3-319-23180-8_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-23180-8_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23179-2

  • Online ISBN: 978-3-319-23180-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics