Spectral Correlation Applied to Gear Monitoring in Electrical Power Plants

B. Georgel, P. Prieur, G. Calot
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Abstract

In power plants numerous equipments including gears have to be monitored to prevent damage and non-planned shut-downs. Whereas only visual or aural monitoring by skilled personnel is performed presently, studies are carried out to improve this monitoring by processing vibratory signals provided by sensors. These signals exhibit both amplitude and phase modulations and so can be processed by the spectral correlation approach. We have compared the Wigner-Ville distribution and the spectral correlation and showed that the latter is well adapted to modulated signals analysis. It allows for discriminating between running-in phases, stable phases and aging or damage phases of the component to be monitored. The ability to show in advance signs of degradation through modulation rates changing and also modulation structure variations is demonstrated on real life signals. 1. GEAR MONITORMG M POWER PLANTS Numerous machines in power plants (e.g. rotating machines) contain gears which have to be monitored in order to prevent damage and shut-downs. Today's state of the art in monitoring is based on periodic maintenance. This is not optimal neither technically nor economically. Conditional maintenance will probably replace it, providing that we are able to measure reliable and relevant descriptors of the vibrational behaviour of the component and to derive from them a consistent indicator of degradation. This will finally be used to stop the machine before damage has occurred. The principle of the gear monitoring is to get external signals from accelerometers stucked on the gear box and to analyse them so as to determine whether the gear teeth are damaged or not. correlation which appear to be well suited to signals from rotating machinery. Different descriptors computed from the spectral correlation will be introduced whereas section 4 will explain through a real world experiment on a testbench how they can be used to monitor gear degradation . 2. GEAR SIGNAL MODELISATION A gear is composed o f : a wheel # 1, with N, teeth, rotating at speed F 1, a wheel # 2, with N, teeth, rotating at speed F2. The gear frequency Feng is defined as .the frequency where teeth come into contact with each other : Feng = NI * Fl = N2 * F2 = 1 / Teng. Let us assume that a flaw has appeared on one of the two wheels (typically this flaw is a tooth flaking). This will result in an amplitude modulation combined with a phase modulation [ 11. Hence the vibratory signal produced by the gear rotation can be modeled as follows : sd(t) = p p ( l +op(t))cos(2npF,, +@, + b p ( r ) ) P where : ap(t) = Z A L sin(2niFrt +ai P ) + P J ) P rotation frequency of the faulty wheel. gear frequency . amplitude modulation of the pm harmonic of FmP. phase modulation of the pm harmonic of Fm,. In section 2 we will establish a model for the gear signals before choosing a technique to analyse them. Section 3 introduces the cyclostationarity and the spectral
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频谱相关在电厂齿轮监测中的应用
在发电厂,包括齿轮在内的许多设备都必须受到监控,以防止损坏和计划外停机。虽然目前仅由技术人员进行视觉或听觉监测,但正在进行研究,通过处理传感器提供的振动信号来改善这种监测。这些信号表现出幅度和相位调制,因此可以用谱相关方法进行处理。我们比较了Wigner-Ville分布和频谱相关性,表明后者很好地适应于调制信号的分析。它允许区分运行阶段,稳定阶段和老化或损坏阶段的组件进行监测。通过调制速率变化和调制结构变化提前显示退化迹象的能力在现实生活信号中得到了证明。1. 齿轮监测发电厂发电厂的许多机器(如旋转机器)都包含齿轮,为了防止损坏和停机,必须对齿轮进行监测。目前的监控技术是基于定期维护的。这在技术上和经济上都不是最优的。条件维护可能会取代它,前提是我们能够测量部件振动行为的可靠和相关描述符,并从中得出一致的退化指标。这将最终用于在损坏发生之前停止机器。齿轮监测的原理是通过卡在齿轮箱上的加速度计获取外部信号,并对其进行分析,以确定齿轮齿是否损坏。相关性似乎很适合于来自旋转机械的信号。将介绍从频谱相关性计算的不同描述符,而第4节将通过在试验台上的真实世界实验解释如何使用它们来监测齿轮退化。2. 齿轮信号模型一个齿轮由f组成:1号轮,有N个齿,以f1的速度旋转;2号轮,有N个齿,以F2的速度旋转。齿轮频率Feng定义为齿间接触频率Feng = NI * Fl = N2 * F2 = 1 / Teng。让我们假设两个轮子中的一个出现了缺陷(通常这种缺陷是牙齿剥落)。这将导致结合相位调制的幅度调制[11]。因此,齿轮转动产生的振动信号可以建模为:sd(t) = p p(l +op(t))cos(2npF,, +@, + b p(r)) p其中:ap(t) = za l sin(2niFrt +ai p) + p J) p故障车轮的转动频率。齿轮频率。FmP调频谐波的调幅。调频的调频谐波的相位调制。在第2节中,我们将建立齿轮信号的模型,然后选择一种技术来分析它们。第3节介绍了周期平稳性和谱
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