基于总体最小二乘准则旋转不变子空间法的叶尖定时欠采样信号分析

doi:10.3901/JME.2019.19.103

机械工程学报 ›› 2019, Vol. 55 ›› Issue (19): 103-111.doi: 10.3901/JME.2019.19.103

• 特邀专栏：高端透平机械动力学 • 上一篇下一篇

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基于总体最小二乘准则旋转不变子空间法的叶尖定时欠采样信号分析

贺长波¹, 李宏坤¹, 赵新维¹, 王维民², 吴淑明³

1. 大连理工大学机械工程学院大连 116024;
2. 北京化工大学高端机械装备健康监控与治愈化北京市重点实验室北京 100029;
3. 西安交通大学机械制造系统工程国家重点实验室西安 710049

收稿日期:2018-07-20 修回日期:2019-01-03 出版日期:2019-10-05 发布日期:2020-01-07
通讯作者: 李宏坤(通信作者),男,1974年出生,博士,教授,博士研究生导师。主要研究方向为故障诊断,信号处理。E-mail:lihk@dlut.edu.cn
作者简介:贺长波,男,1991年出生,博士研究生。主要研究方向为大型离心压缩机状态监测及故障诊断。E-mail:1019894427@qq.com
基金资助:
国家自然科学基金资助项目（U1808214，51575075）。

Analysis Method for Under-sampled Blade Tip-timing Signal Based on the Rotational Invariance Technique with Total Least Squares Principle

HE Changbo¹, LI Hongkun¹, ZHAO Xinwei¹, WANG Weimin², WU Shuming³

1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024;
2. Beijing Key Laboratory of Health Monitoring Control and Fault Self-recovery for High-end Machinery, Beijing University of Chemical Technology, Beijing 100029;
3. State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049

Received:2018-07-20 Revised:2019-01-03 Online:2019-10-05 Published:2020-01-07

摘要/Abstract

摘要： 考虑到传统的应变法无法同时测量所有叶片的振动且存在一定的安全隐患，故利用叶尖定时技术对叶片振动进行监测。由于该方法得到的信号属于严重欠采样信号，且实际获得的信号存在噪声干扰，传统的傅里叶分析无法得到叶片的真实振动频率。研究基于总体最小二乘准则(TLS)的旋转不变子空间法(Esprit)对存在噪声干扰的欠采样信号进行频率估计，并以估计结果作为先验知识对欠采样信号进行重构。通过仿真信号分析及高速旋转叶片试验台验证方法的有效性。结果表明，所提方法可以有效地对含噪欠采样信号进行处理并估计出叶片的真实频率信息，具有很好的工程应用价值。

关键词: 叶尖定时, 欠采样, TLS-Esprit, 信号重构, 叶片振动

Abstract: Considering the traditional strain test method cannot measure all the blades vibration information at the same time and it may also bring some hidden danger for the normal operation of the rotating blade, blade tip-timing (BTT) technique is used to monitor the vibrating blades. However, as BTT method can just obtain under-sampled signal and the sampled signal will also be interfered by noise in practice, traditional Fourier transform is not enough for the extraction of blades original vibration frequency. Therefore, the rotational invariance technique (Esprit) with total least squares (TLS) principle is studied to estimate the original frequency information from the under-sampled signal with strong noise interference. The estimated frequency information will be further used as priori knowledge for the tip-timing signal reconstruction with interpolation function. Both simulation and experiment signal are used to verify the effectiveness of the proposed method, and the result shows the proposed method is useful for the frequency analysis of under-sampled BTT signal with noise interference demonstrating its great value in engineering application.

Key words: blade tip-timing, under-sampled, TLS-Esprit, signal reconstruction, blade vibration

中图分类号:

TG156

贺长波, 李宏坤, 赵新维, 王维民, 吴淑明. 基于总体最小二乘准则旋转不变子空间法的叶尖定时欠采样信号分析[J]. 机械工程学报, 2019, 55(19): 103-111.

HE Changbo, LI Hongkun, ZHAO Xinwei, WANG Weimin, WU Shuming. Analysis Method for Under-sampled Blade Tip-timing Signal Based on the Rotational Invariance Technique with Total Least Squares Principle[J]. Journal of Mechanical Engineering, 2019, 55(19): 103-111.

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基于总体最小二乘准则旋转不变子空间法的叶尖定时欠采样信号分析

Analysis Method for Under-sampled Blade Tip-timing Signal Based on the Rotational Invariance Technique with Total Least Squares Principle

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