Study of Lyapunov Exponent Spectra for Axial-Flow Compression System

The Lyapunov exponent spectra of the axial-flow compression system´s Moore-Greitzer model were researched with chaos theory. When the parameter B of the MG model is greater (surge) or smaller (stall), the system´s Lyapunov exponent spectra are all (0, -). So the compressor´s working points are all on a limit circle, when the compressor is in the state of surge or stall. When the compressor is surge, it can come into a full limit circle, but in the stall, it can not. The conclusion was applied to detect the stall of the compressor. The numerical experimentation results demonstrate that the method can exactly detect the stage of the first stall before the start of deep rotating stall.