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Impact of pulse time uncertainty on synchronous average: Statistical analysis and relevance to rotating machinery diagnosis

机译：脉冲时间不确定性对同步平均值的影响：统计分析与旋转机械诊断的相关性

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摘要

Time synchronous averaging for the extraction of periodic waveforms is a rather common processing method for rotating machinery diagnosis. By synchronizing the signal to the rotational angle of the component of interest, e.g. by using a keyphasor reference signal, it is possible to perform the averaging in the angular domain, thus obtaining an angle synchronous signal. Jittering of the reference signal affects the quality of the synchronous averaging process, resulting in attenuation and uncertain estimation of the extracted synchronous signal, especially in the high frequency band. In this paper, the effects of random uncertainty in the pulse arrival times of the reference signal on the synchronous averaging method are studied, with the objective of assessing the relevance of such a jitter error to the extracted waveform and the indicators derived for monitoring purposes. First, a unified framework for the computed order tracking method is presented, and then a model linking the statistics of the random jitter to the statistics of the waveform extracted through synchronous averaging in angle domain is developed. The theoretical model connects the random jitter distribution, the number of averaged periods and the ratio of the period of interest to the reference trigger period, to the distribution of the amplitudes of the synchronous frequency components in the synchronously averaged signal. Approximate analytical solutions are derived for cases of interest, allowing the prediction of the attenuation bias and variability of the extracted components amplitudes. The model is first verified against numerical simulations in order to assess consistency, and then parametric studies are presented. Experimental validation is performed on both an experimental and an operational data sets involving respectively a helicopter gearbox and a helicopter fleet. (C) 2019 Elsevier Ltd. All rights reserved.
机译：周期性波形提取的时间同步平均是用于旋转机械诊断的相当常见的处理方法。通过将信号与感兴趣的组件的旋转角度同步，例如，通过使用基视参考信号，可以在角域中执行平均，从而获得角度同步信号。参考信号的抖动影响同步平均过程的质量，导致提取的同步信号的衰减和不确定估计，尤其是在高频带中。在本文中，研究了随机不确定性在同步平均方法上的参考信号的脉冲到达时间的影响，目的是评估这种抖动误差对提取的波形的相关性，并且导出用于监测目的的指示器。首先，提出了一种计算订单跟踪方法的统一框架，然后开发了将随机抖动统计连接到通过角度域中的同步平均提取的波形统计的模型。理论模型将随机抖动分布，平均周期的数量和对参考触发期的时段的比率连接到同步平均信号中同步频率分量的幅度的分布。导出近似分析解决方案，用于感兴趣的病例，允许预测提取的组分幅度的衰减偏差和可变性。首先针对数值模拟验证该模型，以评估一致性，然后提出参数研究。对实验和操作数据组进行实验验证，涉及直升机齿轮箱和直升机车队。 （c）2019 Elsevier Ltd.保留所有权利。

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