Stability Analysis for Rotating Stall Dynamics in Axial Flow Compressors
Journal Article - Open Access
Wright Laboratory Wright-Patterson AFB United States
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This paper analyzes the nonlinear phenomenon of rotating stall via the methodsof projection Elementary Stability and Bifurcation Theory, G. Iooss and D. D. Joseph,Springer-Verlag, 1980 and Lyapunov J.-H. Fu, Math. Control Signal Systems, 7, 255-278, 1994. A compressor model of Moore and Greitzer is adopted in which rotating stall dynamics are associated with Hopf bifurcations. Local stability for each pair of the critical modes is studied and characterized. It is shown that local stability of individual pairs ofthe critical modes determines collectively local stability of the compressor model. Explicit conditions are obtained for local stability of rotating stall which offer new insight into the design, and active control of axial flow compressors.
- Hydraulic and Pneumatic Equipment