航空学报2025，Vol.46Issue(17)：121-131,11.DOI:10.7527/S1000-6893.2025.31620
连续压缩感知叶端定时频率估计方法
Frequency estimation method for blade tip timing using continuous compressed sensing
摘要
Abstract
Due to the harsh operating environment,turbine blades are highly susceptible to failures,posing significant risks to equipment safety.Therefore,research on blade monitoring and diagnosis is of critical importance.Blade Tip-Timing(BTT)is a promising measurement technique that enables the monitoring of all blades within a stage using only a small number of probes.However,due to the limited number of probes,BTT signals often suffer from severe under-sampling,making high-accuracy signal reconstruction a key research focus in this field.Gridless frequency estimation methods based on continuous compressed sensing have been considered an effective solution to this issue.How-ever,these traditional methods are limited to ideal signals obtained under uniform probe layouts,significantly restrict-ing their applicability to real-world BTT signals.To address this limitation,this paper proposes a gridless frequency es-timation method that is independent of probe layout,overcoming the constraints of traditional gridless approaches.First,a manifold separation-based Vandermonde decomposition is developed,effectively eliminating the impact of ir-regular probe layouts on the signal covariance matrix,enabling accurate frequency recovery from irregular Toeplitz ma-trices.Based on this,an alternating projection algorithm is proposed to achieve gridless frequency estimation under ir-regular layouts.Finally,extensive simulations and experiments demonstrate that the proposed method exhibits signifi-cant advantages in robustness,high resolution,and estimation accuracy.关键词
叶片振动/叶端定时/无网格频率估计/范德蒙德分解/流形分离Key words
blade vibration/blade tip-timing/gridless frequency estimation/Vandermonde decomposition/mani-fold separation分类
航空航天引用本文复制引用
金若尘,杨志勃,杨来浩,乔百杰,冯军楠,张欢,杨志军,陈雪峰..连续压缩感知叶端定时频率估计方法[J].航空学报,2025,46(17):121-131,11.基金项目
国家自然科学基金重大研究计划集成项目(92360306) （92360306）
国家自然科学基金优秀青年科学基金(52222504) The Major Research Plan of National Natural Science Foundation of China(92360306) （52222504）
National Natural Sci-ence Foundation of China Excellent Young Scientist Fund(52222504) （52222504）
