Bifurcation Analysis of Surge and Rotating Stall in Axial Flow Compressors

[+] Author and Article Information
E. H. Abed

Department of Electrical Engineering and the Institute for Systems Research, University of Maryland, College Park, MD 20742

P. K. Houpt

Control Systems Laboratory, Corporate Research and Development Center, General Electric Company, Schenectady, NY 12301

W. M. Hosny

Engine Operability Division, Aircraft Engines Business Group, General Electric Company, Cincinnati, OH 45215

J. Turbomach 115(4), 817-824 (Oct 01, 1993) (8 pages) doi:10.1115/1.2929320 History: Received October 22, 1992; Online June 09, 2008


The surge and rotating stall post-instability behaviors of axial flow compressors are investigated from a bifurcation-theoretic perspective, using a model and system data presented by Greitzer (1976a). For this model, a sequence of local and global bifurcations of the nonliner system dynamics is uncovered. This includes a global bifurcation of a pair of large-amplitude periodic solutions. Resulting from this bifurcation are a stable oscillation (“surge”) and an unstable oscillation (“anti-surge”). The latter oscillation is found to have a deciding significance regarding the particular post-instability behavior experienced by the compressor. These results are used to reconstruct Greitzer’s (1976b) findings regarding the manner in which post-instability behavior depends on system parameters. Although the model does not directly reflect nonaxisymmetric dynamics, use of a steady-state compressor characteristic approximating the measured characteristic of Greitzer (1976a) is found to result in conclusions that compare well with observation. Thus, the paper gives a convenient and simple explanation of the boundary between surge and rotating stall behaviors, without the use of more intricate models and analyses including nonaxisymmetric flow dynamics.

Copyright © 1993 by The American Society of Mechanical Engineers
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