The influence of reality gas calculation methods on the gasdynamic characteristics of a gas pumping unit centrifugal compressor

When designing compressors, it is necessary to take into account the reality of the working fluid, since when calculating the compressor using ideal gas models, strong deviations of the operating parameters from the calculated ones occur, which can lead to non-fulfillment of the technical specifications, as well as to the formation of non-stationary processes. The correct choice of the gas reality accounting methodology allows us to bring the calculated data as close as possible to the experimental ones. Thus, the choice of the most accurate method of accounting for the reality of gas makes it possible to predict the experimental characteristics of the designed compressor even before conducting physical tests. There are many methods that allow us to take into account the reality of gas, namely, to calculate the compressibility factor using empirical formulas. In this paper, a comparison of four methods is presented, and the calculation of a centrifugal compressor is performed taking into account the values of the compressibility factor obtained according to these methods.

The calculated gas dynamic characteristics are compared with experimental data and discrepancies are revealed at different rotor speeds.

1. STO Gazprom 11-2005. Metodicheskiye ukazaniya po raschetu valovykh vybrosov uglevodorodov (summarno) v atmosferu v OAO «Gazprom» [STO Gazprom 11-2005. Guidelines for calculation of gross hydrocarbon emissions (total) into the atmosphere in OJSC «Gazprom»]. Moscow, 2007. 42 p. (In Russ.).

2. RD 153-39.0-112-2001. Metodika opredeleniya norm raskhoda i normativnoy potrebnosti v prirodnom gaze na sobstvennyye tekhnologicheskiye nuzhdy magistral’nogo transportnogo gaza [RD 153-39.0-112-2001. Methodology for determination of consumption norms and normative demand for natural gas for own technological needs of trunk transport gas]. Moscow, 2001. 53 p. (In Russ.).

3. ONTP 51-1-85. Obshchesoyuznyye normy tekhnologicheskogo proyektirovaniya. Magistral’nyye truboprovody. Chast’ 1. Gazoprovody [ONTP 51-1-85. All-Union norms of technological design. Trunk pipelines. Part 1. Gas pipelines]. Moscow, 1986. 95 p. (In Russ.).

4. STO Gazprom 2-3.5-051-06. Normy tekhnicheskogo proyektirovaniya magistral’nykh truboprovodov [STO Gazprom 2-3.5-051-06. Norms of technical design of trunk pipelines]. Moscow, 2006. 199 p. (In Russ.).

5. Sardanashvili S. A. Raschetnyye metody i algoritmy (truboprovodnyy transport gaza) [Calculation methods and algorithms (gas pipeline transport)]. Moscow, 2005. 577 p. ISBN 5-7246-0356-X. (In Russ.).

6. GOST 30319.2-96. Gaz prirodnyy. Metody rascheta fizicheskikh svoystv. Opredeleniye koeffitsiyenta szhimayemosti [GOST 30319.2-96. Natural gas. Methods of calculation of physical properties. Definition of compressibility coefficient]. Moscow, 2000. 51 p. (In Russ.).

7. Strizhak L. Ya. Issledovaniye vliyaniya formy mezhlopatochnykh kanalov tsentrobezhnogo kompressornogo kolesa na ego kharakteristiki [Study influence of the shape of interblade channels of a centrifugal compressor wheel on its characteristics characteristics]. Leningrad, 1968. 235 p. (In Russ.).

8. PR 51-31323949-43-99. Metodicheskiye ukazaniya po provedeniyu teplotekhnicheskikh i gazodinamicheskikh raschetov pri ispytaniyakh gazoturbinnykh gazoperekachivayushchikh agregatov [PR 51-31323949-43-99. Guidelines for conducting heat engineering and gas-dynamic calculations for testing gas turbine gas pumping units] / Developers: V. A. Shchurovskiy, Yu. N. Sinitsyn, V. I. Korneyev [et al.]. URL: https://nd-gsi.ru/ntd/pr/pr_51-31323949-43-99.pdf (accessed: 11.05.2024). (In Russ.).

9. Teplotekhnicheskiye raschety protsessov transporta i regazifikatsii prirodnykh gazov: sprav. posobiye [Thermal Engineering Calculations of Natural Gas Transportation and Regasification Processes: Reference Manual] / Podgot. V. A. Zagoruchenko, R. N. Bikchentay, A. K. Troshin [et al.]. Moscow, 1980. 319 p. (In Russ.).

10. STO Gazprom 2-3.5-113-2007. Metodika otsenki energoeffektivnosti gazotransportnykh ob”yektov i sistem [STO Gazprom 2-3.5-113-2007. Methodology of energy efficiency assessment of gas transmission facilities and systems]. Moscow, 2007. 54 p. (In Russ.).

11. Galerkin Yu. B., Rekstin A. F., Drozdov A. A., Soldatova K. V., Solov’yeva O. A., Popova E. Yu. Proyektirovaniye tsentrobezhnykh kompressorov na osnove metoda universal’nogo modelirovaniya [Design of centrifugal compressors by means of a universal modelling method] // Vesti gazovoy nauki. Vesti Gazovoy Nauki. 2020. No. 2 (44). P. 92–109. EDN: PLNRUM. (In Russ.).

12. Galerkin Yu., Rekstin A., Soldatova K., Drozdov A., Solovyeva O., Semenovskiy V., Marenina L. The current state of the engineering method for the optimal gas-dynamic design and calculation of centrifugal compressor // Energies 2020. Vol. 13 (21). 5651. DOI: 10.3390/en13215651. EDN: JWVXPO. (In Engl.).

13. Drozdov A. A., Galerkin Yu. B., Solov’yeva O. A., Soldatova K. V., Utsekhovskiy A. A. Matematicheskaya model’ Metoda universal’nogo modelirovaniya 9-y versii: osobennosti i rezul’taty identifikatsii [Mathematical model of the 9th version universal modeling method: features and results of identification] // Omskiy nauchnyy vestnik. Ser. Aviatsionno-raketnoye i energeticheskoye mashinostroyeniye. Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering. 2020. Vol. 4, no. 4. P. 28–40. DOI: 10.25206/2588-0373-2020-4-4-28-40. EDN: HBKFME. (In Russ.).

14. Solovyeva O., Galerkin Yu., Rekstin A., Soldatova K., Yusha V., Kabalyk K. Centrifugal compressor stage. Vaneless diffuser preliminary design by universal modeling method // International Journal of Mechanical and Production Engineering Research and Development. 2020. Vol. 10, Issue 3. P. 14879– 14894. DOI: 10.24247/ijmperdjun20201417. (In Engl.).

15. Solovyeva O. A., Soldatova K. V., Galerkin Yu. B., Rekstin A. F. Pervichnoye proyektirovaniye bezlopatochnykh diffuzorov tsentrobezhnykh kompressornykh stupeney Metodom universal’nogo modeler [Primary design of vaneless diffusers of centrifugal compressor stages by the universal modeling method] // Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroyeniye. Proceedings of Higher Educational Institutions. Маchine Building. 2021. No. 3 (732). P. 39–52. DOI: 10.18698/0536-1044-2021-3-39-52. EDN: SYYIIG. (In Russ.).

16. Galerkin Yu. B., Drozdov A. A., Rekstin A. F., Solovyeva O. A., Semenovsky V. B. The Application Practice of the Universal Modeling Method 9th Version for Industry // Oil and Gas Engineering – AIP Conference Proceedings. 2021. Vol. 2412 (1). 030021. DOI: 10.1063/5.0075001. (In Engl.).

17. Drozdov A. A., Galerkin Y. B., Solovyeva O. A., Soldatova K. V., Ucehovscy A. A. Development and identification of a mathematical model of centrifugal compressor stages using the universal modeling method // Oil and Gas Engineering — AIP Conference Proceedings. 2020. Vol. 2285. 030057. DOI: 10.1063/5.0026727.18. (In Engl.).

18. Galerkin Yu. B., Drozdov A. A., Rekstin A. F., Solov’yeva O. A., Semenovskiy V. B. Opyt prakticheskogo primeneniya Metoda universal’nogo modelirovaniya 9-y versii [Practical experience of the Universal Modeling Method 9th version] // Kompressornaya tekhnika i pnevmatika. Compressor Technology and Pneumatics. 2021. No. 1. P. 26–36. EDN: BKJHXG. (In Russ.).

19. Galerkin Yu. B., Drozdov A. A., Rekstin A. F., Solov’yeva O. A., Marenina L N. Matematicheskaya model’ metoda universal’nogo modelirovaniya devyatoy versii dlya rascheta i proyektirovaniya tsentrobezhnykh kompressorov: identifikatsiya i verifikatsiya po eksperimental’nym dannym [Mathematical Model of the Universal Modeling Method Version 9 for the Calculation and Design of Centrifugal Compressors: Identification and Verification from Experimental Data] // Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N. E. Baumana. Ser. Mashinostroyeniye. Herald of the Bauman Moscow State Technical University Series Mechanical Engineering. 2022. No. 1 (140). P. 82–102. DOI: 10.18698/0236-3941-2022-1-82-102. EDN: WDTVUY. (In Russ.).

20. Galerkin Yu. B., Drozdov A. A., Rekstin A. F., Solovyeva O. A., Marenina L. N. Identification and verification of the universal modeling method mathematical model // Oil and Gas Engineering — AIP Conference Proceedings. 2023. Vol. 2784. 030001. DOI: 10.1063/5.0140618. (In Engl.).