Skip to main content
Top

2016 | OriginalPaper | Chapter

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

Authors : Zdzisław Kowalczuk, Marek Tatara

Published in: Advanced and Intelligent Computations in Diagnosis and Control

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Belsito, S., Lombardi, P., Andreussi, P., Banerjee, S.: Leak detection in liquefied gas pipelines by artificial neural networks. AIChE 44(12), 2675–2688 (1998)CrossRef Belsito, S., Lombardi, P., Andreussi, P., Banerjee, S.: Leak detection in liquefied gas pipelines by artificial neural networks. AIChE 44(12), 2675–2688 (1998)CrossRef
2.
go back to reference Billmann, L., Isermann, R.: Leak detection methods for pipelines. Automatica 23(3), 381–385 (1987)MATHCrossRef Billmann, L., Isermann, R.: Leak detection methods for pipelines. Automatica 23(3), 381–385 (1987)MATHCrossRef
3.
go back to reference Brogan, W.: Modern Control Theory, 3rd edn. Prentice Hall, New Jersey (1991)MATH Brogan, W.: Modern Control Theory, 3rd edn. Prentice Hall, New Jersey (1991)MATH
4.
go back to reference 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) 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)
6.
go back to reference Gunawickrama, K.: Leak detection methods for transmission pipelines. Ph.D. thesis supervised by Z. Kowalczuk, Gdańsk Univeristy of Technology, Gdańsk (2001) Gunawickrama, K.: Leak detection methods for transmission pipelines. Ph.D. thesis supervised by Z. Kowalczuk, Gdańsk Univeristy of Technology, Gdańsk (2001)
7.
go back to reference 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) 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)
8.
go back to reference 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 21CrossRef 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 21CrossRef
9.
go back to reference 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 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
10.
go back to reference 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)CrossRef 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)CrossRef
11.
go back to reference Strikwerda, J.: Finite Difference Schemes and Partial Differential Equations. SIAM, Philadelphia (2007) Strikwerda, J.: Finite Difference Schemes and Partial Differential Equations. SIAM, Philadelphia (2007)
12.
go back to reference Torres, L., Besançon, G., Verde, C.: Leak detection using parameter identification. The 8th IFAC Symposium SAFEPROCESS-2012, Mexico City, Mexico (2012) Torres, L., Besançon, G., Verde, C.: Leak detection using parameter identification. The 8th IFAC Symposium SAFEPROCESS-2012, Mexico City, Mexico (2012)
13.
go back to reference 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 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
Metadata
Title
Approximate Models and Parameter Analysis of the Flow Process in Transmission Pipelines
Authors
Zdzisław Kowalczuk
Marek Tatara
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-23180-8_17

Premium Partner