Online feature learning for condition monitoring of rotating machinery

Abstract Condition-based maintenance of rotating machinery requires efficient condition monitoring methods that enable early detection of abnormal operational conditions and faults. This is a challenging problem because machines are different and change characteristics over time due to wear and maintenance. The efficiency and scalability of conventional condition monitoring methods are limited by the need for manual analysis and re-configuration. The problem to extract relevant features from condition monitoring signals and thereby detect and analyze changes in such signals is a central issue, which in principle can be addressed using machine learning methods. Former work demonstrates that dictionary learning can be used to automatically derive signal features that characterize different operational conditions and faults of a rotating machine, but the use of such methods for online condition monitoring purposes is an open problem. Here we investigate online learning of features using dictionary learning. We describe dictionary distance and signal fidelity based heuristics for anomaly detection, and we study the time-propagated features and sparse approximation of vibration and acoustic emission signals in three different case studies. We present results of numerical experiments with different hyperparameters affecting the approximation accuracy, computational cost, and the adaptation rate of the learned features. We find that the learned features change slowly under normal variations of the operational conditions in comparison to the rapid adaptation observed when a fault appears (bearing defects, magnetite particles in the lubricant, or plastic deformation of steel). Furthermore, we find that a sparse signal approximation with 2.5% preserved coefficients based on a propagated dictionary is sufficient for bearing defect detection.

[1]  D. Donoho For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution , 2006 .

[2]  Michael Elad,et al.  Sparse and Redundant Representation Modeling—What Next? , 2012, IEEE Signal Processing Letters.

[3]  Jérémie Jakubowicz,et al.  Scoring anomalies: a M-estimation formulation , 2013, AISTATS.

[4]  Tom Fawcett,et al.  An introduction to ROC analysis , 2006, Pattern Recognit. Lett..

[5]  Michael Elad,et al.  From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images , 2009, SIAM Rev..

[6]  Michael S. Lewicki,et al.  Efficient auditory coding , 2006, Nature.

[7]  N. Tandon,et al.  A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings , 1999 .

[8]  Michael S. Lewicki,et al.  Efficient Coding of Time-Relative Structure Using Spikes , 2005, Neural Computation.

[9]  Fredrik Sandin,et al.  Dictionary learning with equiprobable matching pursuit , 2016, 2017 International Joint Conference on Neural Networks (IJCNN).

[10]  Kjersti Engan,et al.  Learned dictionaries for sparse image representation: properties and results , 2011, Optical Engineering + Applications.

[11]  R. Larsson,et al.  Study of the short-term effect of Fe3O4 particles in rolling element bearings: Observation of vibration, friction and change of surface topography of contaminated angular contact ball bearings , 2014 .

[12]  Yang Zhao,et al.  Sparse representation based on adaptive multiscale features for robust machinery fault diagnosis , 2015 .

[13]  Tianshuai Liu,et al.  Shift invariant sparse coding ensemble and its application in rolling bearing fault diagnosis , 2015 .

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

[15]  Mike E. Davies,et al.  Stagewise Weak Gradient Pursuits , 2009, IEEE Transactions on Signal Processing.

[16]  Kim Albertsson,et al.  FPGA prototype of machine learning analog-to-feature converter for event-based succinct representation of signals , 2013, 2013 IEEE International Workshop on Machine Learning for Signal Processing (MLSP).

[17]  Robert B. Randall,et al.  Rolling element bearing diagnostics using the Case Western Reserve University data: A benchmark study , 2015 .

[18]  Pierre Vandergheynst,et al.  A low complexity Orthogonal Matching Pursuit for sparse signal approximation with shift-invariant dictionaries , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[19]  Michael Elad,et al.  Sparse Coding with Anomaly Detection , 2013, Journal of Signal Processing Systems.

[20]  Yixiang Huang,et al.  Adaptive feature extraction using sparse coding for machinery fault diagnosis , 2011 .

[21]  Terrence J. Sejnowski,et al.  Learning Overcomplete Representations , 2000, Neural Computation.

[22]  David J. Field,et al.  Emergence of simple-cell receptive field properties by learning a sparse code for natural images , 1996, Nature.

[24]  Stéphan Clémençon,et al.  Anomaly Ranking as Supervised Bipartite Ranking , 2014, ICML.

[25]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[26]  Jerker Delsing,et al.  Exploratory analysis of acoustic emissions in steel using dictionary learning , 2016, 2016 IEEE International Ultrasonics Symposium (IUS).

[27]  David J. Field,et al.  Sparse coding with an overcomplete basis set: A strategy employed by V1? , 1997, Vision Research.

[28]  Mike E. Davies,et al.  Gradient Pursuits , 2008, IEEE Transactions on Signal Processing.

[29]  Fredrik Sandin,et al.  Towards zero-configuration condition monitoring based on dictionary learning , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[30]  Haifeng Tang,et al.  Sparse representation based latent components analysis for machinery weak fault detection , 2014 .

[31]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[32]  Joseph Mathew,et al.  Rotating machinery prognostics. State of the art, challenges and opportunities , 2009 .

[33]  Sacha Krstulovic,et al.  Mptk: Matching Pursuit Made Tractable , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[34]  Michael Elad,et al.  The Cosparse Analysis Model and Algorithms , 2011, ArXiv.

[35]  Laurent U. Perrinet,et al.  Role of Homeostasis in Learning Sparse Representations , 2007, Neural Computation.

[36]  P. Andersson,et al.  Acoustic emission of rolling bearings lubricated with contaminated grease , 2000 .