基于稳定约束的自适应随机共振转子故障检测方法

推进技术 ›› 2013, Vol. 34 ›› Issue (10): 1398-1405.

基于稳定约束的自适应随机共振转子故障检测方法

任立通,谢寿生,胡金海,余坚,王磊,苗卓广

空军工程大学航空航天工程学院,陕西西安 710038;空军工程大学航空航天工程学院,陕西西安 710038;空军工程大学航空航天工程学院,陕西西安 710038;空军工程大学航空航天工程学院,陕西西安 710038;空军工程大学航空航天工程学院,陕西西安 710038;空军工程大学航空航天工程学院,陕西西安 710038

发布日期:2021-08-15
作者简介:任立通(1987—),男,博士生,研究领域为飞机推进系统综合控制与故障诊断。 E-mail:ren_tt521@163.com
基金资助:
国家自然科学基金资助项目(51105374)。

Adaptive Stochastic Resonance Rotor Fault Detection Algorithm Based on Stability Constraint

Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China

Published:2021-08-15

摘要/Abstract

摘要： 为解决应用传统遗传算法优化的随机共振(Stochastic resonance, SR)方法易出现的计算发散问题,提出一种基于稳定约束的自适应随机共振方法。对求解随机共振的Langevin方程进行了稳定性分析,得到了考虑输入信号的条件下,使系统输出稳定的频率压缩比R的约束公式。将该稳定性条件应用于遗传算法参数的寻优过程,将原来的无约束最优化问题转化为有约束最优化问题。将改进后的自适应随机共振方法应用于转子早期碰摩故障检测,分析结果表明,该方法确保了系统输出的稳定性,寻优过程中的频率压缩比R的取值均在约束值以下,避免了计算发散现象,实现了在强噪声条件下对微弱故障信号的提取。 

关键词: 转子;遗传算法;约束优化;随机共振;故障检测 

Abstract: To solve the calculation divergent problems in the application of traditional genetic algorithm stochastic resonance, an adaptive stochastic resonance based on stability constraint was put forward. The stability analysis was conducted to the Langevin equation.Thus the constraint formula of frequency compression ratio R in consideration of input signals was obtained. And this stability constraint was applied in the optimization process, changing the unconstrained optimization problem into constrained optimization problem. The improved Adaptive Stochastic Resonance Algorithm method was applied in the early rotor rubbing fault detection. The analysis results show that the improved method ensures the stability of system output. The frequency compression ratio R is under the constraint value during the optimal process, which avoids the calculation divergent phenomenon. The method realizes the weak fault signals extraction under strong noise conditions. 

Key words: Rotor; Genetic algorithm; Constraint optimization; Stochastic resonance; Fault detection

任立通,谢寿生,胡金海,余坚,王磊,苗卓广. 基于稳定约束的自适应随机共振转子故障检测方法[J]. 推进技术, 2013, 34(10): 1398-1405.

REN Li-tong, XIE Shou-sheng, HU Jin-hai, YU Jian, WANG Lei, MIAO Zhuo-guang. Adaptive Stochastic Resonance Rotor Fault Detection Algorithm Based on Stability Constraint[J]. Journal of Propulsion Technology, 2013, 34(10): 1398-1405.

参考文献

[1] 艾延廷,费成巍,王志．航空发动机整机振动故障模糊信息熵诊断方法[J]．推进技术,2011,32(3):407-411．(AI Yan-ting,FEI Cheng-wei,WANG Zhi．A Fault Diagnosis Method for Aero-Engine Vibration Based on Fuzzy Information Entropy[J].Journal of Propulsion Technology, 2011,2(3):407-411.)
[2] Jiyong Tan, Xuefeng Chen, Junying Wang, et al.Study of Frequency-Shifted and Re-Scaling Stochastic Resonance and Its Application to Fault Diagnosis[J].Mechanical Systems and Signal Processing,2009,23:811-822.
[3] 冷永刚．大信号变尺度随机共振的机理分析及其工程应用研究[D]．天津:天津大学,2004．
[4] 陈敏,胡茑庆,秦国军,等．参数调节随机共振在机械系统早期故障检测中的应用[J]．机械工程学报,2009,45(4):131-135．
[5] 王国富,张海如,张法全,等．时频展缩随机共振用于航空发动机转子故障检测[J]．航空动力学报,2011,26(3):603-610．
[6] 王飞,徐祎．利用遗传算法设计自适应随机共振系统[J]．舰船电子工程,2006,115:107-109．
[7] 王晶,张庆,梁霖,等．采用遗传算法的自适应随机共振系统弱信号检测方法研究[J]．西安交通大学学报,2010,44(3):32-36．
[8] 吴利平,李赞,李建东,等．一种基于经典遗传算法的自适应随机共振系统[J]．计算机科学,2011,38(11):92-95．
[9] Gammaitoni L.Stochastic resonance[J].Reviews of Modern Physics, 1998,0(1):223-287.
[10] 杨定新．微弱特征信号检测的随机共振方法与应用研究[D]．长沙:国防科技大学,2004．
[11] Goldberg D E.Genetic Algorithms in Search, Optimization and Machine Learning[M].Massachusetts:Addison -Wesley, 1989:1-83.
[12] Niaoqing HU, Min CHEN, Guojun QIN, et al.Extended Stochastic Resonance (SR) and Its Applications in Weak Mechanical Signal Processing[J].Frontiers of Mechanical Engineering in China, 2009,4(4):450-461.
[13] 王仲生, 黎伟．发动机转子系统早期故障特征提取方法[J]．推进技术,2006,27(2):137-140．(WANG Zhong-sheng, LI Wei．Approach in Early Fault Features Extraction of Aero-Engine Rotor System[J].Journal of Propulsion Technology, 2006,7(2):137-140.)
[14] 航空发动机设计手册总编委会.航空发动机设计手册,第19册,转子动力学及整机振动[M].北京:航空工业出版社,2000.
[15] 闻邦椿,武新华,丁千,等．故障旋转机械非线性动力学的理论与试验[M]．北京:科学出版社,2004．