最大Lyapunov指数用于压气机局部性能的分析  

Maximum Lyapunov Exponent Analysis for Compressors

作　　者：杨荣菲[1] 侯安平[1] 周盛[1] 周军伟[1] 

机构地区：[1]北京航空航天大学航空发动机气动热力重点实验室,北京100191

出　　处：《航空学报》2009年第4期622-624,共3页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10477002);"凡舟"青年科研基金(20060407)

摘　　要：对压气机叶尖、叶根失速类型的判断有利于在设计中增加控制措施以扩大压气机稳定工作范围。压气机内部流动为复杂的非线性系统,利用非线性时间序列分析中的最大Lyapunov指数方法,分别对单级和1.5级低速轴流压气机稳定工作状态下不同叶高处的动态总压试验数据进行分析,发现最大Lyapunov指数较大的区域容易失速,得到了此压气机叶尖与叶根进入失速的先后顺序,与失速过程的动态总压信号利用低通滤波方法进行失速类型判断得到的结论相一致。After determing the compressor to be tip stall or root stall type, control measures can be considered to extend the scope of compressor working stability. The maximum Lyapunov exponent , which is one of non- linear time series analysis methods, is used to estimate the compressor stall type. This article investigates the dynamic total pressure taking from a low-speed single and 1.5 stage axial compressors in stability and instabili- ty operation condition. Calculating and comparing the maximum Lyapunov exponent at different blade height when the compressor is working in design point, it is found that the tip of rotor stall earlier where the value is greater. The results show considerable agreement with the time domain analysis for instability working state.

关 键 词：压气机 失速 混沌 I.yapunov指数 

分 类 号：V231.3[航空宇航科学与技术—航空宇航推进理论与工程]