Detecting Rotating Stall Precursors in Axial Compressors via Perturbations Part 1: Theory
Detecting Rotating Stall Precursors in Axial Compressors via Perturbations Part 1: Theory
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DOI：
10.2514/1.b35102
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发表时间：
2014-09
影响因子：
1.9
通讯作者：
Wanjing Dong;Yong Wang
中科院分区：
文献类型：
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作者：
Wanjing Dong;Yong Wang
流体不稳定性的非线性动力学，例如轴流压缩机中的旋转失速和喘振，通常被建模为具有滞后的亚临界 Hopf 分岔。本文分析了周期性强迫下具有亚临界Hopf分岔的非线性动力系统，并将理论结果应用于旋转失速前兆的预测。根据强迫幅度和频率，当分岔参数接近临界值时，周期解可能有两种类型的特征。对于第一种情况，周期轨道的振幅对分岔参数的敏感性变得无限大，而振幅本身仍然有限，这对应于周期轨道的双周期分岔；而对于第二种情况，虽然敏感性不那么陡峭，但功率谱中除了周期轨道倍数的共振峰之外，还存在次级共振峰。这些次级谐振尖峰对应...
The nonlinear dynamics of fluid instabilities such as rotating stall and surge in axial compressors are typically modeled as subcritical Hopf bifurcations with hysteresis. In this paper, nonlinear dynamical systems with subcritical Hopf bifurcations under periodic forcing are analyzed, and the theoretic results are applied to prediction of rotating stall precursors. Depending on the forcing amplitude and frequency, there are possibly two types of features for the periodic solutions as the bifurcation parameter approaches the critical values. For the first type, the sensitivity of the amplitude of the periodic orbits to the bifurcation parameter becomes infinitely large while the amplitude itself remains finite, which corresponds to the double-cycle bifurcation of the periodic orbits, whereas, in the second case, though the sensitivity is not as steep, there are secondary resonant peaks in the power spectrum in addition to those of the multiples of periodic orbits. These secondary resonant spikes correspon...