轴流压缩系统的Lyapunov指数谱分析及应用

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

关键词:  Lyapunov指数谱+  轴流压缩机  Moore-Gretizer模型+  失速

Key words:  Lyapunov exponent spectra~+  Axial-flow compressor  Moore-Gretizer model~+  Stall

摘要:

基于二阶Moore-G retizer模型,通过数值计算并应用混沌理论分析了轴流压缩系统的Lyapunov指数谱。结果表明较大的B参数(喘振)和较小的B参数(失速)时系统的Lyapunov指数谱都为(0,-),为压气机的失速检测提供了判定准则。将研究结果应用到压气机的失速检测,数值计算结果与试验结果一致,并且可在压气机进入深度失速前0.2 s检测到失速起始信号,为解除失速的操作争取了更多的时间,更有利于飞行安全。

Abstract:

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.