低速轴流压气机旋转失速边界的模型描述

李志平; 张鹏; 李秋实

doi:10.13224/j.cnki.jasp.2017.03.002

低速轴流压气机旋转失速边界的模型描述

doi: 10.13224/j.cnki.jasp.2017.03.002

李志平^1,2,
张鹏^1,2,
李秋实^1,2

1.
北京航空航天大学能源与动力工程学院航空发动机气动热力国家级重点实验室，北京 100191
2.
先进航空发动机协同创新中心，北京 100191

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出版历程
- 收稿日期: 2015-06-11
- 刊出日期: 2017-03-28

Model description of rotating stall boundary in low-speed axial compressor

摘要

摘要: 从低速轴流压气机完整旋转失速过程所具有的突变性和迟滞性等典型动力学特征出发，通过对其拓扑性质的对比分析，证明压气机旋转失速与突变理论尖点突变模型在拓扑结构上具有相似性；以拓扑不变性定理为基础，通过发展有效的拓扑映射方法，建立了尖点突变模型的突变点集与压气机旋转失速突变点集之间的拓扑映射关系.在两台低速轴流压气机上的模型实际应用效果表明：尖点突变模型能够定性地描述具有突变型失速特点的低速压气机不同转速工况下完整旋转失速过程的突变性、迟滞性以及分岔特性，通过该发展的拓扑映射方法，可以将实验获取的失速点和恢复点完全映射到模型线上，这表明尖点突变模型能较为准确地描述旋转失速的失速边界.
- 压气机 /
- 旋转失速 /
- 失速边界 /
- 突变理论 /
- 拓扑映射
Abstract: Starting from the typical dynamic characteristics of the complete rotating stall process of low-speed axial compressor, such as catastrophe and hysteresis, by comparing and analyzing the topological properties, the rotating stall and cusp catastrophic model of catastrophe theory were proved similar in spatial topology; then, based on the topological invariance theorem through developing the effective topological mapping method, the topological mapping relationship of the catastrophe point set between the rotating stall and the cusp catastrophic model was established. The applied effect of the model in two low-speed axial compressors showed that cusp catastrophic model can qualitatively describe the catastrophe, hysteresis and bifurcation of the complete rotating stall process of low-speed compressor with the characteristic of “abrupt stall” under different speed conditions; through the mapping method developed, the stall points and recovery points obtained by experiment can be entirely mapped to the model line, which means the cusp catastrophic model can accurately describe the instability boundary of rotating stall.
- compressor /
- rotating stall /
- stall boundary /
- catastrophe theory /
- topological mapping

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参考文献(20)

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