USE BIFURCATION THEORY TO ASSESS THE STABILITY OF CURRENTS IN THE AXIAL COMPRESSOR

Authors

  • М. С. Кулик National Aviation University
  • Ю. М. Терещенко National Aviation University
  • Л. Г. Волянська National Aviation University

DOI:

https://doi.org/10.18372/2310-5461.1.5207

Keywords:

bifurcation theory, axial compressor, flow resistance, pressure, asymmetric current, hysteresis, feedback, bifurcation diagram

Abstract

In the paper surge is considered as self-oscillation phenomenon. Possibility of surge prediction and effect on  its  development with the help of  feedback controllers is investigated. Solving of a problem of non-linear control using the bifurcation theory is considered in the article. The Moore—Greitzer model (MG86) is used for research of processes in the compressor after loss gasdynamic stability. The model takes into account non-linear features of compressor characteristics and property of the compressor system. The model allows to determine what type of phenomena (rotating stall or surge) can appear, to establish distinctions in character surge oscillations and to estimate influence of various factors on area surge modes, to determine area of steady modes.

References

Холщевников К. В. Теория и расчет авиационных лопаточных машин. — М.: Машиностроение, 1970. — 603 с.

Боднер В. А. Автоколебания в системе содержащей компрессор / В кн. : Инженерный сборник. — Т. VI. — М., АН СССР, 1950.

Казакевич В. В. Автоколебания (помпаж) у компресорах. — М.: Машиностроение, 1974. — 264 с.

Day I.J., Greitzer E.M., Cumpsty N.A. Predictions of compressor perfomance in rotaiting stall. J. Eng. Gas Turbines Power Trans ASME, 100, 1978. — P. 1—14.

Moor F.K. A theory of rotating stall of multistage compressors: Part I—III. J. Eng.Gas Turbines Power Trans ASME, 106, 1984. — P. 313—349.

Moor F.K., Greitzer E.M. A theory of post—stall transients in axial flow compressors: Part I — Development of eguastions. J. Eng. Gas Turbines Power Trans ASME, 108(1), 1986. — P. 68—76.

Greitzer E.M. Surge and rotating stall in axial flow compressors: Part I — Theoretical compression System model. J. Eng. Gas Turbines Power Trans ASME, 98, 1976. — P. 190—198.

Ananthkrishnan N., Vaidya U.G., Walimbe V.W. Global stability and control analysis of axial compressor stall and surge phenomena using bsfurcation methods. J. Eng. Power and Energy Trans ASME, 217, 2003. — P. 279—286.

Issue

Section

Engineering