基于蜂群优化的HMU寿命分布参数极大似然估计  

Maximum Likelihood Estimation of Lifetime Distribution Parameters of HMU Based on ABC Optimization

作　　者：吴雨婷 陆中[1] 张子文 荘露 WU Yu-ting;LU Zhong;ZHANG Zi-wen;ZHUANG Lu(College of Civil Aviation,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学民航学院,江苏南京210016

出　　处：《航空计算技术》2020年第5期53-55,共3页Aeronautical Computing Technique

基　　金：国家自然科学基金项目资助(U1733124);航空科学基金项目资助(20180252)。

摘　　要：机械液压组件(HMU)是航空发动机控制系统的重要组成部分,其寿命分布将直接影响飞机的安全性。为了准确估计HMU的寿命分布参数,假定其寿命服从威布尔分布,结合实际工程中HMU的失效数据,建立基于人工蜂群算法优化的极大似然估计(MLE)模型。通过蜂群个体寻优行为,以较快收敛速度对威布尔分布参数进行迭代,找到全局最优值,从而避免多参数估计值不易求解以及容易陷入局部最优的问题,并结合案例证明了优化模型的适用性和有效性。Hydraulic mechanical unit(HMU)is an important part of aero-engine control system.In order to accurately estimate the lifetime distribution parameters of HMU,an ABC-based maximum likelihood estimation(MLE)model was established in terms of the assumption that the lifetime of the HMU follows Weibull distribution,by using the failure data of HMU in practical engineering.According to the local optimization behavior of artificial swarm individuals,all parameters are iterated with a fast convergence rate to find the global optimal value,to avoid the complex derivation process and the possibility of trapping in the local optimal value.A case study is used to illustrate the applicability and effectiveness of the proposed optimization model.

关 键 词：机械液压组件 寿命估计 威布尔分布 人工蜂群算法 极大似然估计 

分 类 号：V240.2[航空宇航科学与技术—飞行器设计]