Hysteresis behaviors of compressor rotating stall with cusp catastrophic model
Hysteresis behaviors of compressor rotating stall with cusp catastrophic model
复制标题
尖点灾难模型压气机旋转失速滞环行为
DOI：
10.1016/j.cja.2018.02.010
复制
发表时间：
2018-05
影响因子：
5.7
通讯作者：
Zhang Jian
中科院分区：
文献类型：
--
作者：
Li Zhiping;Zhang Peng;Pan Tianyu;Li Qiushi;Zhang Jian
旋转失速是一种复杂的非线性动态现象，在高气动负载压气机中总是以突变和滞后为特征。探索迟滞的关键影响因素和特征规律对于压气机设计和流动失稳控制具有重要意义。本文提出了一种新的模型方法来分析迟滞行为，以扩展对压缩机旋转失速的理解。首先基于Moore-Greitzer模型描述了不同工况下压缩机系统的平衡状态。然后，通过李亚普诺夫定理评估平衡点的稳定性，发现关断水头与压气机特性半高的比值对失速磁滞的影响：随着比值的增加，磁滞回线的大小会逐渐减小，甚至消失。综合比率和节流系数的影响，可以发现多参数下压气机失速的滞回行为与Thom突变理论的尖点突变模型的拓扑性质一致。最后，根据拓扑不变规则，从势函数的角度，利用标准尖点灾变模型建立压气机系统的平衡表面方程，描述压气机旋转失速沿不同控制路径的各种滞回行为。
Rotating stall is a complex nonlinear dynamic phenomenon which is always characterized by catastrophe and hysteresis in high aerodynamic-loading compressor. Exploring the key contributing factors and characteristic rules of hysteresis is very important for compressor design and flow instability control. In this paper, a novel model method is proposed to analyze the hysteresis behaviors to extend the understanding of compressor rotating stall. The equilibrium states of compressor system under different conditions are first described based on Moore-Greitzer model. Then, through assessing the stability of the equilibrium points by Liapunov's theorem, the ratio of shutoff head to compressor characteristic semi-height is found to affect the stall hysteresis: the size of hysteresis loop will gradually decrease, even disappear with the increase of the ratio. Combing the effects of both the ratio and throttle coefficient, the hysteresis behaviors of compressor stall under multi-parameters can be found to be consistent with the topological properties of cusp catastrophic model by Thom’s catastrophe theory. Finally, according to topological invariant rules, from the perspective of potential function, the equilibrium surface equation of compressor system is developed by standard cusp catastrophic model to describe the various hysteresis behaviors of compressor rotating stall along different control routes.
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DOI：
10.1007/s11431-009-0181-6
发表时间：
2009-06
期刊：
Science in China Series E: Technological Sciences
影响因子：
--
作者：
Daren Yu;T. Cui;W. Bao
通讯作者：
Daren Yu;T. Cui;W. Bao
超音速入口启动/停止的多稳定性和复杂路径
影响因子：
1.9
作者：
Tao Cui;Zhong Lv;Daren Yu
通讯作者：
Daren Yu
影响因子：
1.9
作者：
Wanjing Dong;Yong Wang
通讯作者：
Wanjing Dong;Yong Wang
DOI：
10.1115/1.482436
发表时间：
2000-03
影响因子：
1.7
作者：
Hsin-Hsiung Wang;M. Krstić;M. Larsen
通讯作者：
Hsin-Hsiung Wang;M. Krstić;M. Larsen
DOI：
10.1115/93-gt-026
发表时间：
1993-05
期刊：
--
影响因子：
--
作者：
I. Day;C. Freeman
通讯作者：
I. Day;C. Freeman