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Reduction of Computational Complexity in Simulations of the Flow Process in Transmission Pipelines

Abstract

The paper addresses the problem of computational efficiency of the pipe-flow model used in leak detection and identification systems. Analysis of the model brings attention to its specific structure, where all matrices are sparse. With certain rearrangements, the model can be reduced to a set of equations with tridiagonal matrices. Such equations can be solved using the Thomas algorithm. This method provides almost the same values of the state vector and maintains stability for the same discretization grid, while the computational overhead is thus significantly reduced.

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Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Published in:
Advances in Intelligent Systems and Computing no. 635, pages 241 - 252,
ISSN: 2194-5357
Title of issue:
Advanced Solutions in Diagnostics and Fault Tolerant Control strony 241 - 252
Language:
English
Publication year:
2018
Bibliographic description:
Kowalczuk Z., Tatara M. S., Stefański T.: Reduction of Computational Complexity in Simulations of the Flow Process in Transmission Pipelines// Advanced Solutions in Diagnostics and Fault Tolerant Control/ ed. Jan M. Kościelny, Michał Syfert, Anna Sztyber Cham: Springer, 2018, s.241-252
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-319-64474-5_20
Bibliography: test
  1. Billmann, L.: Studies on improved leak detection methods for gas pipelines. Internal Report. Institut fur Regelungstechnik TH-Darmstadt (1982) open in new tab
  2. Billmann, L., Isermann, R.: Leak detection methods for pipelines. Automatica, 23(3), 381385 (1987) open in new tab
  3. Conte, S.D., de Boor, C.: Elementary Numerical Analysis: An Algorithmic Ap- proach, (third ed.). McGraw-Hill (1980) open in new tab
  4. Delgado-Aguiñaga, J.A., Besançon, G., Begovich, O., Carvajal, J.E.: Multi-leak di- agnosis in pipelines based on Extended Kalman Filter. Control Engineering Practice, Volume 49, p. 139148. http://dx.doi.org/10.1016/j.conengprac.2015.10.008 (2016) open in new tab
  5. Gunawickrama, K.: Leak Detection Methods for Transmission Pipelines, (PhD The- sis supervised by Z. Kowalczuk). Gda«sk Univeristy of Technology, Gda«sk (2001)
  6. Kowalczuk, Z., Tatara, M.: Analytical modeling of ow processes: Analysis of com- putability of a state-space model. In: XI Int. Conf. on Diagnostics of Processes and Systems, 8-11 September 2013, pages 74.112. agów Lubuski (2013) open in new tab
  7. Kowalczuk, Z., Tatara, M.: Approximate models and parameter analysis of the ow process in transmission pipelines. In: Advanced and Intelligent Computations in Di- agnosis and Control, pp. 239252 (2016) open in new tab
  8. Li, S., Wen, Y., Li, P., Yang, J., Dong, X., Mu, Y.: Leak location in gas pipelines us- ing cross-time-frequency spectrum of leakage-induced acoustic vibrations. Journal of Sound and Vibration, 333(17), 38893903. https://doi.org/10.1016/j.jsv.2014.04.018 (2014) open in new tab
  9. Li, S., Zhang, J., Yan, D., Wang, P., Huang, Q., Zhao, X., Cheng, Y., Zhou, Q., Xi- ang, N., Dong, T.: Leak detection and location in gas pipelines by extraction of cross spectrum of single non-dispersive guided wave modes. Journal of Loss Prevention in the Process Industries, 44, 255262. https://doi.org/10.1016/j.jlp.2016.09.021 (2016) open in new tab
  10. Mandal, S. K., Chan, F. T. S., Tiwari, M. K.: Leak detection of pipeline: An integrated approach of rough set theory and articial bee colony trained SVM. Expert Systems with Applications, 39(3), 30713080. https://doi.org/10.1016/j.eswa.2011.08.170 (2012) open in new tab
  11. Ostapkowicz, P., Bratek, A.: Leak detection in liquid transmission pipelines during transient state related to a change of operating point. In: Kowalczuk Z, (Ed.): Ad- vanced and Intelligent Computations in Diagnosis and Control, pp. 25365. Switzer- land: Springer International Publishing (2016) open in new tab
  12. Thomas, L. H.: Elliptic problems in linear dierence equations over a network. New York: Watson Sci. Comput. Lab. Rept., Columbia University (1949)
  13. Torres, L., Besançon, G., Verde, C.: Leak detection using parameter identication. In: The 8th IFAC Symposium SAFEPROCESS-2012, Mexico City, Mexico (2012) open in new tab
  14. Verde, C., Visairo, N., Gentil, S.: Two leaks isolation in a pipeline by transient response. Advances in Water Resources, vol. 30, issue 8, pp. 17111721 (2007) open in new tab
  15. Verde, C., Torres, L.: Referenced model based observers for leaks' location in a branched pipeline, The 9th International Federation of Automatic Control (IFAC) Symposium SAFEPROCESS-2015, Paris, France (2015) open in new tab
  16. Verghese, G., Levy, B., Kailath, T.: A generalized state-space for singular systems. IEEE Transactions on Automatic Control, vol. 26, issue 4 (1981) open in new tab
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Gdańsk University of Technology

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