Stability analysis for rotating stall dynamics in axial flow compressors

This paper analyzes the nonlinear phenomenon of rotating stall via the meth ods of projection [Elementary Stability and Bifurcation Theory, G. Iooss an d D. D. Joseph, Springer-Verlag, 1980] and Lyapunov [J.-H. Fu, Math. Contro l Signal Systems, 7, 255-278, 1994]. A compressor model of Moore and Greitz er is adopted in which rotating stall dynamics are associated with Hopf bif urcations. Local stability for each pair of the critical modes is studied a nd characterized. It is shown that local stability of individual pairs of t he critical modes determines collectively local stability of the compressor model. Explicit conditions are obtained for local stability of rotating st all which offer new insight into the design, and active control of axial fl ow compressors.