Surge oscillations mathematical simulation in the compressor-network system

The paper presents basic equations of the system operation mathematical model. The system includes a centrifugal compressor and the network consisting of characteristic elements: pipeline, tank and control valve. The mathematical model makes it possible to determine operating parameters of the indicated system in real time, including its dynamic instability. Calculation results were verified using the mathematical model and the experimental data obtained in the dynamic instability zone. Transition from a statically stable mode to the dynamically stable and unstable modes was analyzed, i.e. surge appearance with certain period and amplitude of the pressure and flow pulsations in the system elements.

EDN: CGZHTC

References

[1] Spiridonov S.V. Evolution of computational models in gas transport. Avtomatizatsiya, telemekhanizatsiya i svyaz v neftyanoy promyshlennosti [Automation and Informatization of the Fuel and Energy Complex], 2016, no. 9, pp. 37–43. (In Russ.).

[2] Charnyy I.A. Neustanovivsheesya dvizhenie realnoy zhidkosti v trubakh [Unsteady motion of real liquid in pipes]. Moscow, Nedra Publ., 1975. 296 p. (In Russ.).

[3] Popov D.N., Smirnov A.A. Calculation of non-stationary processes in complex hydraulic systems with distributed parameters. Vestnik Mashinostroeniya, 1994, no. 11, pp. 16–19. (In Russ.).

[4] Kazakevich V.V. Avtokolebaniya (pompazh) v kompressorakh [Auto oscillations (pompage) in compressors]. Moscow, Mashinostroenie Publ., 1974. 264 p. (In Russ.).

[5] Guzelbaev Ya.Z., Khavkin A.L. Experimental determination of the surge limit of centrifugal compressors with oil and electro-magnetic bearings without entering into surging. Kompressornaya tekhnika i pnevmatika, 2018, no. 3, pp. 25–28. (In Russ.).

[6] Guzelbaev Ya.Z., Khavkin A.L. Results of the surge tests of integrally geared centrifugal compressors under operation conditions. Kompressornaya tekhnika i pnevmatika, 2019, no. 4, pp. 33–35. (In Russ.).

[7] Inozemtsev D.A., Velichko E.I., Muzykantova A.V. et al. [Pumping supplies]. Mat. II Mezhd. nauch.-prakt. konf. T. 1 [Proc. II Int. Sci.-Pract. Conf. Vol. 1]. Krasnodar, Yug Publ., 2022, pp. 177–180. (In Russ.).

[8] Ilichev V.Yu., Savin V.Yu. Dynamic simulation centrifugal compressor anti-surge control system. Kompressornaya tekhnika i pnevmatika, 2020, no. 2, pp. 34–38. (In Russ.).

[9] Startsev A.N., Brailko I.A., Orekhov I.K. Aerodynamic instability and surge in a transonic centrifugal compressor. Nasosy. Turbiny. Sistemy [Pumps. Turbines. Systems], 2017, no. 1, pp. 66–77. (In Russ.).

[10] Vanyashov A.D., Kustikov G.G. Modeling of the non-stationary gasdynamic modes (surge) in systems with centrifugal compressors. Dinamika sistem, mekhanizmov i mashin [Dynamics of Systems, Mechanisms and Machines], 2019, vol. 7, no. 3, pp. 46–53. (In Russ.).

[11] Kustikov G.G. Eksperimentalnaya ustanovka dlya issledovaniya gazodinamicheskoy ustoychivosti turbokompressornykh system [Experimental setup for the study of gas dynamic stability of turbo-compressor systems]. V: Povyshenie effektivnosti kholodilnykh i kompressornykh mashin [In: Increase of efficiency of refrigerating and compressor machines]. Omsk, OmPI Publ., 1982, pp. 50–54. (In Russ.).

[12] Den G.N., Kustikov G.G., Potapov Yu.A. Poluchenie neustoychivogo uchastka kharakteristiki tsentrobezhnoy stupeni i opredelenie granitsy pompazha [Obtaining of the unstable section of the centrifugal stage characteristic and determination of the pompage boundary]. V: Kholodilnye mashiny i termotransformatory [In: Refrigerating machines and thermo-transformers]. Leningrad, LTIKhP Publ., 1985, pp. 14–21. (In Russ.).

[13] Altshul A.D., Kiselev P.G. Gidravlika i aerodinamiska [Hydraulics and aerodynamics]. Moscow, Stroyizdat Publ., 1975. 327 p. (In Russ.).

[14] Vanyashov A.D., Kustikov G.G. Raschet i konstruirovanie tsentrobezhnykh kompressornykh mashin [Calculation and design of centrifugal compressor machines]. Omsk, Izd-vo OmGTU Publ., 2017. 256 p. (In Russ.).

[15] Meher-Homji C.B., Bromley A. Gas turbine axial compressor fouling and washing. Turbomashinery Symposium, 2004, vol. 33, pp. 163–191.

[16] Cumpsty N.A. Compressor aerodynamics. Krieger, 2004. 517 p.

[17] Evdokimov V.E. Experience of observation of unsteady processes in CCM stages. Turbiny i kompressory, 2000, no. 1–2, pp. 38–41. (In Russ.).

[18] Dyakonov V.P. VisSim+Mathcad+MATLAB. Vizualnoe matematicheskoe modelirovanie [VisSim+Mathcad+MATLAB. Visual mathematical modelling]. Moscow, Solon-Press Publ., 2008. 384 p. (In Russ.).