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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：统计分析及其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：用于提取周期性波形的时间同步平均是用于旋转机械诊断的相当普遍的处理方法。通过使信号与感兴趣的组件的旋转角度同步，例如通过使用关键相量参考信号，可以在角域中执行平均，从而获得角度同步信号。参考信号的抖动会影响同步平均过程的质量，从而导致提取的同步信号的衰减和不确定估计，尤其是在高频段。在本文中，研究了参考信号的脉冲到达时间中的随机不确定性对同步平均方法的影响，目的是评估这种抖动误差与提取的波形以及为监测目的而导出的指标的相关性。首先，提出了一种用于计算阶次跟踪方法的统一框架，然后建立了一个模型，该模型将随机抖动的统计信息与通过角域中的同步平均提取的波形的统计信息联系起来。理论模型将随机抖动分布，平均周期数以及感兴趣周期与参考触发周期的比率与同步平均信号中同步频率分量的幅度分布联系起来。可以针对感兴趣的情况导出近似分析解决方案，从而可以预测衰减偏差和提取分量幅度的变化。首先通过数值模拟对模型进行验证，以评估一致性，然后进行参数研究。对分别涉及直升机变速箱和直升机机队的实验数据集和操作数据集进行实验验证。 （C）2019 Elsevier Ltd.保留所有权利。

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