基于多参数轴流压缩系统的非线性流动性分析  

The Analysis of Nonlinear Flow Characteristics Based on the Multiparameter Model of Axial-flow Compressor

作　　者：邓涛[1] 姚宏[1] 张广军[1] 

机构地区：[1]空军工程大学理学院,陕西西安710051

出　　处：《空军工程大学学报（自然科学版）》2010年第2期29-32,共4页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2007014)

摘　　要：为了探索轴流压缩系统的流动机理,定性分析了多参数轴流压缩系统的非线性流动行为。基于多参数轴流压缩系统Moore-Greitzer简化模型,应用非线性动力学理论,分析了轴对称流动时的平衡点稳定性和Hopf分岔行为,以及旋转失速流动时的平衡点稳定性和分岔行为。由此,在γ-β参数空间中划分了轴对称流动、旋转失速流动时轴流压缩系统稳定、不稳定流动区域分布图。结果表明:非线性动力学的稳定性分析方法可以简便地分析分岔参数作用下平衡点稳定性的变化情况;分岔分析方法可以准确地判断轴流压缩系统中过失速流动行为的起始时机;γ-β参数空间的压缩系统流动状态图可以定性地判断轴流压缩系统流动状态。In order to probe into the flow mechanism in the axial -flow compressor, the nonlinear flow characteristics of the axial -flow compressor are qualitatively analyzed in this paper. Based on the multiparameter Moore - Greitzer brief model in compression systems, both stability and bifurcation of system equilibriums under bifurcation parameters can be achieved conveniently by applying the nonlinear dynamic theory. According to the analysis, the sketch maps for steady and unsteady flow of compressor are plotted in the - bifurcation parameters space in both the symmetrical and asymmetrical flow states. The results show that the nonlinear bifurcation analysis can accurately capture typical post -stall transients under bifurcation parameters. In addition, the stability analysis can be easily used for analyzing the change of stability of system equilibriums. The sketch map can be used in determining the state of axial compressor qualitatively.

关 键 词：轴流压缩系统 非线性流动 Moore—Greitzer简化模型 稳定性 分岔 过失速 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]