轴流压缩系统过失速行为的非线性分叉分析

Nonlinear Bifurcation Analysis on Post-Stall Transients of Axial-Flow Compressor

采用Greitzer的轴流压缩系统数学模型 ,按照B参数对压缩系统不稳定行为的影响 ,分阶段对从失速到喘振的过失速过程进行非线性分析 ,并得到了临界点B附近的变化规律。基于分叉理论 ,证明了在产生Hopf分叉后 ,系统可产生唯一且稳定的极限环 ,且在有限域内的系统轨迹趋近于这个稳定的极限环。

Based on Greitezr's model of axial flow compressor, nonlinear analysis on the post-stall process from stall to surge fell into several successive phases with effect on compressor instability from parameter B, and variety regulation nearby the critical value-point of parameter B was captured. In virtue of bifurcation methodology, the fact was proved that compressor system produced exclusive and stable limit cycle to which system locus converged in finite domain.