Mathematical simulation of surge in the system of compressor-network with positioning the network elements in the compressor discharge side

The paper presents the developed mathematical model of a system that includes the centrifugal compressor and the network with position of its characteristic elements (pipeline, tanks and control valve) in the compressor discharge line. The mathematical model is built based on the network elements inertial and capacitive characteristics and makes it possible to compute the system operation in the dynamic mode, including the dynamic instability mode. Computation program compiled based on the mathematical model equations allowed analyzing the system dynamic instability modes, i.e. the surge oscillations. Influence of the network element sizes on the nature of surge oscillations, amplitude, period of pressure oscillations and gas flow through the network elements was established.
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References

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

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

[3] Braunrig N. Ispolzovanie dinamicheskogo modelirovaniya dlya zashchity kompressornogo oborudovaniya. Rational Enterprise Management, 2014, no. 5–6, pp. 88–91. (In Russ.).

[4] Botros K.K., Campbell P.J., Mah D.B. Dynamic simulation of compressor station operation including centrifugal compressor and gas turbine. J. Eng. Gas Turbines Power., 1991, vol. 113, no. 2, pp. 300–311, doi: https://doi.org/10.1115/1.2906563

[5] Hafaifa A., Rashid B., Mouloud G. Modelling of surge phenomena in a centrifugal compressor: experimental analysis for control. Syst. Sci. Control. Eng., 2014, vol. 2, no. 1, pp. 632–641, doi: https://doi.org/10.1080/21642583.2014.956269

[6] Veldandi P.K., Ramesh Kumar V., Sailu C. Anti surge control design for variable speed compressor using dynamic simulation. Int. J. Appl. Eng. Res., 2017, vol. 12, no. 1, pp. 636–640.

[7] 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.).

[8] 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 [Compressors & Pneumatics], 2018, no. 3, pp. 25–28. (In Russ.).

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

[10] Izmaylov R.A., Lopulalan Kh.D., Norimana G.S. Numerical modelling of unsteady flow phenomena in a centrifugal compressor stage. Kompressornaya tekhnika i pnevmatika [Compressors & Pneumatics], 2011, no. 5, pp. 10–15. (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] 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. 2, no. 3, pp. 46–53, doi: https://doi.org/10.25206/2310-9793-7-3-46-53 (in Russ.).

[14] Vanyashov A.D. Surge oscillations mathematical simulation in the compressor-network system. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2024, no. 2, pp. 59–69, EDN: CGZHTC (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.