基于B参数的轴流压气机过失速稳定性分析

基于2阶Greitzer模型,按照B参数的变化,通过对系统方程进行局部线性化,把从失速到喘振的过失速过程划分为4个阶段进行非线性分析,不仅观察到了临界点附近的系统变化规律,而且可以准确判定临界点的位置。在B参数大于临界点时的情况下,引入了Lyapunov稳定性理论和局部不变集定理对系统进行全局稳定性分析,结合仿真结果,表明系统轨迹趋近于稳定的喘振极限环。

Stability Analysis of Axial-Flow Compressor Post-Stall Transients Based on Parameter B

Based on 2-order Greitzer model of axial flow compressor,a nonlinear analysis of the stall to surge process has been carried out.According to the variation of parameter B,the process was divided into four successive phases, and the compressor system equation was locally linearized.The trend of the system change near the critical point of parameter B was observed and the critical point could be determined accurately.Under the condition that parameter B exceeds its critical value,theorems of Lyapunov stability and local invariable set were introduced to global stability analysis to make up the shortage of local linearization methodology.Compared with numerical simulation,the fact was proved that the compressor system produces stable limit cycle of surge and the system locus converges in finite domain.