Time-Frequency demodulation analysis via Vold-Kalman filter for wind turbine planetary gearbox fault diagnosis under nonstationary speeds

Abstract Wind turbine planetary gearbox fault diagnosis under nonstationary speeds is a challenging topic, because of the high complexity and strong time variability of vibration signals. In order to resolve time-varying gear fault features, a quality time-frequency analysis method is in demand. Time-frequency representations based on Hilbert transform and analytic signal approach have fine time-frequency resolution, and are free from both outer (cross-term) and inner (auto-term) interferences, thus providing an effective approach to nonstationary signal analysis. However, they rely on accurate instantaneous frequency estimation, and thereby are subject to mono-component constraint. To address this issue, Vold-Kalman filter is exploited to construct time-frequency representation, by virtue of its capability to decompose the multi-component vibration signal of rotating machinery into constituent mono-component harmonic waves. Even so, intricate time-varying sidebands inherent with raw planetary gearbox vibration signals in joint time-frequency domain are still a hurdle, because they do not link to gear fault frequency directly. To solve this problem, the proposed time-frequency analysis method is further extended to generate time-varying amplitude and frequency demodulated spectra, inspired by the fact that gear fault frequency is manifested straight by the amplitude and frequency modulating frequencies. The proposed method is illustrated by numerical simulation, and is further validated using lab experimental signals of a wind turbine planetary gearbox. Both the localized and distributed faults on gears are successfully diagnosed under nonstationary speeds.

[1]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[2]  Peter V. E. McClintock,et al.  Extraction of instantaneous frequencies from ridges in time-frequency representations of signals , 2013, Signal Process..

[3]  H. Van Der Auweraer,et al.  Structural model identification from real operating conditions , 1999 .

[4]  Zhipeng Feng,et al.  Fault diagnosis for wind turbine planetary gearboxes via demodulation analysis based on ensemble empirical mode decomposition and energy separation , 2012 .

[5]  Ming J. Zuo,et al.  Vibration signal models for fault diagnosis of planetary gearboxes , 2012 .

[6]  Marianne Mosher Understanding Vibration Spectra of Planetary Gear Systems for Fault Detection , 2003 .

[7]  Ahmet Kahraman,et al.  A dynamic model to predict modulation sidebands of a planetary gear set having manufacturing errors , 2010 .

[8]  Darryll J. Pines,et al.  A review of vibration-based techniques for helicopter transmission diagnostics , 2005 .

[9]  Y.-F. Lin,et al.  Further exploration of Vold–Kalman-filtering order tracking with shaft-speed information—I: Theoretical part, numerical implementation and parameter investigations , 2006 .

[10]  Hamid Reza Karimi,et al.  A review of diagnostics and prognostics of low-speed machinery towards wind turbine farm-level health management , 2016 .

[11]  Zhipeng Feng,et al.  Fault diagnosis of wind turbine planetary gearbox under nonstationary conditions via adaptive optimal kernel time–frequency analysis , 2014 .

[12]  Yaguo Lei,et al.  Condition monitoring and fault diagnosis of planetary gearboxes: A review , 2014 .

[13]  Svend Gade,et al.  Characteristics of the Vold-Kalman order tracking filter , 1999, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[14]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[15]  Liming Wang,et al.  Local fault diagnosis of non-stationary gearbox based on order envelope analysis , 2017 .

[16]  William D. Mark,et al.  Stationary transducer response to planetary-gear vibration excitation with non-uniform planet loading , 2009 .

[17]  Norden E. Huang,et al.  On Instantaneous Frequency , 2009, Adv. Data Sci. Adapt. Anal..

[18]  Zhipeng Feng,et al.  Iterative generalized synchrosqueezing transform for fault diagnosis of wind turbine planetary gearbox under nonstationary conditions , 2015 .

[19]  Ahmet Kahraman,et al.  A theoretical and experimental investigation of modulation sidebands of planetary gear sets , 2009 .

[20]  Anand Parey,et al.  Gearbox fault diagnosis under non-stationary conditions with independent angular re-sampling technique applied to vibration and sound emission signals , 2017, Applied Acoustics.

[21]  Fulei Chu,et al.  Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples , 2013 .

[22]  P D McFadden,et al.  An Explanation for the Asymmetry of the Modulation Sidebands about the Tooth Meshing Frequency in Epicyclic Gear Vibration , 1985 .

[23]  Håvard Vold,et al.  Multi axle order tracking with the Vold-Kalman tracking filter , 1997 .

[24]  James McNames,et al.  Fourier Series Analysis of Epicyclic Gearbox Vibration , 2002 .

[25]  Y.-F. Lin,et al.  Further exploration of Vold–Kalman-filtering order tracking with shaft-speed information—II: Engineering applications , 2006 .

[26]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.