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Mathematical modelling of dynamic processes in gas transmission

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of finding the parameters of the gas transmission system in terms of its operations under unsteady operating modes are considered. We show mathematical models of gas flows in the basic facilities in the system with a complicated piping diagram. The solution is built to solve a system of partial differentia equations with the finite element method of large dimension with boundary conditions, some of which are designed in the process of solving the system of equations. This is due to the provision of technical and technological constraints on the pressure of the controlled points of the system. On the resistance to finding a solution significantly affects a step of the time coordinate. The proposed algorithm in the editing process of flow diagrams provides an increase in stability of solving systems of equations, and significantly reduces the time for the simulation.
Twórcy
autor
  • PJSC “UKRTRANSGAZ” The Branch “Research Institute of Gas Transportation”; Centre of Mathematical Modelling of IAPMM named after Ya.S.Pidstryhach NAS of Ukraine
Bibliografia
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  • 2 .Roache P. J. 1976. Computational Fluid Dinamics. Revised Printing. Hermosa Publishers, Albuquerque, N.M. 616.
  • 3. Harlow F. H. 1964. The Particle-in-Cell Computing Method for Fluid Dynamics, in Methods in Computational Physics. Academic Press, New York. Vol. 3.
  • 4. Amsten A. A. 1966. The Particle-in-Gell Method for the Calculation of the Dynamics of Compressible Fluids. Los Alamos Scientific Laboratore. Report №LA-3466 Los Alamos. 69.
  • 5. Sardanashvily S. A. 2005. Calculation methods and algorithms. Moscow: Publishing House of the "Oil and Gas". 577. (in Russian).
  • 6. Seleznev V. E., Aleshin V. V. and Klishin G. S. 2002. Methods and techniques of numerical simulation of pipeline systems. Moscow: Editorial URSS. 448. (in Russian).
  • 7. Evdokimov A. G., Dubrovsky V. V. and Tevyashev A. D. 1990. Modelling and optimization of flow in engineering networks. Moscow: Stroyizdat. 365. (in Russian).
  • 8. Novitsky N.N., Sukharev M.G. Tevyashev A.D. and et al. 2010. Energy Pipeline systems: mathematical modeling and optimization. Nauka. Novosibirsk. 419. (in Russian).
  • 9. Tevyashev A.D., Smirnov V.S. 2008. Mathematical modeling of unsteady flow of nonisothermal gas pipeline section. Electronics and Computer Science. №2, 21-27. (in Russian).
  • 10. Kulik N., Lipetsky I. K., Leshchenko I. Ch., Uslontsev A. B. 2000. Meeting the challenges of operational management mode of gas transmission systems based on unsteady models. Problems of general energetics. №2, 18-25 (in Russian).
  • 11. Leschenko І. Ch. 2007. Optimization of operation of compressor workshops as a means of improving the energy efficiency of gas transmission. Problems of general energy. №15, 82-88. (in Ukrainian).
  • 12. Prytula N., Pjanylo Ya. and Prytula M. 2006. Calculation of steady gas flow in the main pipelines. Bulletin of the National University "Lviv Polytechnic". Computer Science and Information Technology. № 565, 271-274. (in Ukrainian).
  • 13. Prytula N. 2007. Calculation of the flow distribution in the gas transmission system (steady case). Physical and mathematical modeling and information technologies. issue 5, 146-157. (in Ukrainian).
  • 14. Sіnchuk Yu., Prytula N., Prytula M. 2010. Simulation of taps on gas pipelines Bulletin of the National University "Lviv Polytechnic” Computer Science and Information Technology. № 663, 216- 222. (in Ukrainian).
  • 15. Sіnchuk Yu., Prytula N. and Prytula M. 2010. Simulation of unsteady modes of gas networks. Bulletin of the National University "Lviv Polytechnic” Computer Science and Information Technology. № 663, 128-132. (in Ukrainian).
  • 16. Boyar I., Borovoy R., Grinіv O. and et al. 2011. Optimization of the multishop compressor stations with a multityped gas compressor units. Bulletin of the National University "Lviv Polytechnic". Computer Science and Information Technology. № 672, 326-335. (in Ukrainian).
  • 17. Prytula N. 2012. Problems of flow control in gas transmission system. Bulletin of the National University "Lviv Polytechnic". Computer Science and Information Technology. № 732, 375-382. (in Ukrainian).
  • 18. Prytula N. And Gryniv O. 2013. Modeling of compressor stations with adjacent pipelines. Bulletin of the National University "Lviv Polytechnic". Computer Science and Information Technology. № 751. (in Ukrainian).
  • 19. Prytula N. 2013. Adaptive algorithm of Winding a mathematical model of the gas transmission system with variable structure. Bulletin of the National University "Lviv Polytechnic" Computer Science and Information Technology. № 751, 333-337. (in Ukrainian).
  • 20. Dolinskii A., Draganov B., Kozirskii V. 2012. Nonequilibrium State of Engineering systems – ECONTECHMOD. An international quarterly journal. Vol. 1, № 1, 33–34.
  • 21.Wróbel K., Styła S. and Sumorek A. 2012. Use of GIS Systems in the Construction of Hydraulic Model of Networks. Econtechmod. An International Quarterly Journal. Vol. 01, № 2., 63-69.
  • 22. Pyanylo Ya. D., Prytula N. M., Prytula M.G. and Lopuh N.B. 2014. Models of mass transfer in gas transmission systems. Mathematical modeling and computing. Vol. 1. Nr. 1, 84-96.
  • 23. Datsyuk A. V., Frolov V., Gladun S. V. and et al. 2007. Computer technologies for support decision making in the management of gas transmission and producing systems. 3rd Int. scientific and engineering. Conf. "Computer technology support decision making in the control and management of gas transport and producing systems": Moscow. 27. (in Russian).
  • 24. Prytula N., Prytula M., Gryniv O. and et al. 2012. The calculation of the optimal parameters of flow control in gas transmission system 5th Int. scientific and technical conf. "Computer technology support decision making in the control and management of gas transport and producing systems": abstracts Moscow. - 63. (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dbd6fa0d-c385-499e-a0fc-7ed83747a2c7
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