轴流压缩系统的Lyapunov指数谱分析及应用

1引言Moore和Greiter1]在1986年联合提出了描述压缩系统失速动态性能的旋转失速和喘振的统一模型(MG模型)。目前理论分析主要是采用各种系统模型(包括MG模型)进行仿真计算,并与试验结果进行参照和验证,使用非线性分叉理论进行分析,Li-aw2]等对MG模型进行了非线性分析并提出非

Analysis and application of Lyapunov exponent spectra of axial-flow compression system

On the Basis of two dimension Moore-Gretizer model,the Lyapunov exponent spectra of the axial-flow compression system were studied with chaos theory.The result shows that the system's Lyapunov exponent spectra are all(0,-) when the parameter B is greater(surge) or smaller(stall).It provides stall of the compressor with detection criterion.This was applied to detect stall of the compressor.The validation of the method is verified with good agreement between the numerical result and measurement.It is 0.2 second before the start of deep rotating stall that the stall inception signal of the compressor can be detected with current method.Thus more time can be provided to release from the rotating stall.This is helpful to secure the flight.