A methodology using the spectral coherence and healthy historical data to perform gearbox fault diagnosis under varying operating conditions

Abstract Condition monitoring is usually performed over long periods of time when critical rotating machines such as wind turbine gearboxes are monitored. There are many potential signal processing and analysis techniques that can be utilised to diagnose the machine from the condition monitoring data, however, they seldom incorporate the available healthy historical data of a machine systematically in the fault diagnosis process. Hence, a methodology is proposed in this article which supplements the order-frequency spectral coherence with historical data from a healthy machine to perform automatic fault detection, automatic fault localisation and fault trending. This has the benefit that the order-frequency spectral coherence, a very powerful technique for rotating machine fault diagnosis under varying speed conditions, can be utilised without requiring an expert to interpret the results. In this methodology, an extended version of the improved envelope spectrum is utilised to extract features from the order-frequency spectral coherence, whereafter a probabilistic model is carefully used to calculate a diagnostic metric for automatic fault detection and localisation. The methodology is investigated on numerical gearbox data as well as experimental gearbox data, both acquired under time-varying operating conditions with two probabilistic models, namely a Gaussian model and a kernel density estimator, compared as well. The results indicate the potential of this methodology for performing gearbox fault diagnosis under varying operating conditions.

[1]  Jérôme Antoni,et al.  Cyclostationary modelling of rotating machine vibration signals , 2004 .

[2]  Jérôme Antoni,et al.  The spectral analysis of cyclo-non-stationary signals , 2016 .

[3]  Cécile Capdessus,et al.  CYCLOSTATIONARY PROCESSES: APPLICATION IN GEAR FAULTS EARLY DIAGNOSIS , 2000 .

[4]  Christopher M. Bishop,et al.  Novelty detection and neural network validation , 1994 .

[5]  Dany Abboud,et al.  Deterministic-random separation in nonstationary regime , 2016 .

[6]  Tomasz Barszcz,et al.  Diagnostics of bearings in presence of strong operating conditions non-stationarity—A procedure of load-dependent features processing with application to wind turbine bearings , 2014 .

[7]  Radoslaw Zimroz,et al.  A new feature for monitoring the condition of gearboxes in non-stationary operating conditions , 2009 .

[8]  Jérôme Antoni,et al.  Envelope analysis of rotating machine vibrations in variable speed conditions: A comprehensive treatment , 2017 .

[9]  Jérôme Antoni,et al.  Angle⧹time cyclostationarity for the analysis of rolling element bearing vibrations , 2015 .

[10]  J. Antoni Cyclic spectral analysis of rolling-element bearing signals : Facts and fictions , 2007 .

[11]  Robert B. Randall,et al.  Rolling element bearing diagnostics—A tutorial , 2011 .

[12]  P. Borghesani,et al.  A faster algorithm for the calculation of the fast spectral correlation , 2018, Mechanical Systems and Signal Processing.

[13]  Konstantinos Gryllias,et al.  A discrepancy analysis methodology for rolling element bearing diagnostics under variable speed conditions , 2019, Mechanical Systems and Signal Processing.

[14]  Radford M. Neal Pattern Recognition and Machine Learning , 2007, Technometrics.

[15]  Anas Sakout,et al.  Gearbox condition monitoring in wind turbines: A review , 2018, Mechanical Systems and Signal Processing.

[16]  J. Antoni Cyclic spectral analysis in practice , 2007 .

[17]  Mayorkinos Papaelias,et al.  Condition monitoring of wind turbines: Techniques and methods , 2012 .

[18]  Takehisa Yairi,et al.  A review on the application of deep learning in system health management , 2018, Mechanical Systems and Signal Processing.

[19]  Konstantinos Gryllias,et al.  A probabilistic novelty detection methodology based on the order-frequency spectral coherence , 2018 .

[20]  Jérôme Antoni,et al.  Application of averaged instantaneous power spectrum for diagnostics of machinery operating under non-stationary operational conditions , 2012 .

[21]  J. Antoni,et al.  Fast computation of the spectral correlation , 2017 .

[22]  Hongwei Liu,et al.  Fault analysis of wind turbines in China , 2016 .

[23]  Jérôme Antoni,et al.  Order-frequency analysis of machine signals , 2017 .

[24]  Robert B. Randall,et al.  THE RELATIONSHIP BETWEEN SPECTRAL CORRELATION AND ENVELOPE ANALYSIS IN THE DIAGNOSTICS OF BEARING FAULTS AND OTHER CYCLOSTATIONARY MACHINE SIGNALS , 2001 .