Fault diagnosis of time-varying processes using modified reconstruction-based contributions

Abstract This paper presents a modified reconstruction-based contributions for sensor fault diagnosis in continuous time-varying processes. The proposed fault diagnosis method is based on recursive updating of the loading subspaces of principal component analysis (PCA) with a low computational cost. The diagnosability of the proposed diagnosis method is proved mathematically for single sensor faults with large magnitudes. The control limits of the reconstruction contributions indices are computed and updated recursively to adapt the time-varying characteristics. Moreover, a complete adaptive algorithm for fault detection and diagnosis phases is provided for adaptive process monitoring. The efficiency of the proposed approach is demonstrated using a simulated time-varying example and a continuous stirred tank reactor (CSTR) process. The results show the ability of the proposed approach to adapt with the time-varying characteristics and still correctly diagnose the sensor faults even in the case of relatively moderate and small faults.

[1]  Si-Zhao Joe Qin,et al.  Survey on data-driven industrial process monitoring and diagnosis , 2012, Annu. Rev. Control..

[2]  Uwe Kruger,et al.  Recursive partial least squares algorithms for monitoring complex industrial processes , 2003 .

[3]  Lamiaa M. Elshenawy,et al.  Efficient Recursive Principal Component Analysis Algorithms for Process Monitoring , 2010 .

[4]  Weihua Li,et al.  Isolation enhanced principal component analysis , 1999 .

[5]  Benoît Champagne,et al.  Adaptive eigendecomposition of data covariance matrices based on first-order perturbations , 1994, IEEE Trans. Signal Process..

[6]  Xuejin Gao,et al.  Fault detection and diagnosis of chemical process using enhanced KECA , 2017 .

[7]  John F. MacGregor,et al.  Multivariate SPC charts for monitoring batch processes , 1995 .

[8]  Richard D. Braatz,et al.  Fault Detection and Diagnosis in Industrial Systems , 2001 .

[9]  Lamiaa M. Elshenawy,et al.  Recursive Fault Detection and Isolation Approaches of Time-Varying Processes , 2012 .

[10]  Weihua Li,et al.  Recursive PCA for adaptive process monitoring , 1999 .

[11]  A. Kouadri,et al.  A new adaptive PCA based thresholding scheme for fault detection in complex systems , 2017 .

[12]  Theodora Kourti,et al.  Application of latent variable methods to process control and multivariate statistical process control in industry , 2005 .

[13]  Yingwei Zhang,et al.  Efficient recursive canonical variate analysis approach for monitoring time‐varying processes , 2017 .

[14]  R. Braatz,et al.  Fault detection of process correlation structure using canonical variate analysis-based correlation features , 2017 .

[15]  Donghua Zhou,et al.  On the use of reconstruction-based contribution for fault diagnosis , 2016 .

[16]  S. Joe Qin,et al.  Statistical process monitoring: basics and beyond , 2003 .

[17]  Torsten Jeinsch,et al.  A Survey of the Application of Basic Data-Driven and Model-Based Methods in Process Monitoring and Fault Diagnosis , 2011 .

[18]  Tricia J. Willink Efficient Adaptive SVD Algorithm for MIMO Applications , 2008, IEEE Transactions on Signal Processing.

[19]  S. Joe Qin,et al.  Reconstruction-Based Fault Identification Using a Combined Index , 2001 .

[20]  S. Joe Qin,et al.  Subspace approach to multidimensional fault identification and reconstruction , 1998 .

[21]  Jun Liang,et al.  A Multi-level Approach for Complex Fault Isolation Based on Structured Residuals , 2011 .

[22]  S. Joe Qin,et al.  Unified Analysis of Diagnosis Methods for Process Monitoring , 2009 .

[23]  Ping Zhang,et al.  A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process , 2012 .

[24]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part II: Fault Diagnosis With Knowledge-Based and Hybrid/Active Approaches , 2015, IEEE Transactions on Industrial Electronics.

[25]  G. Irwin,et al.  Process monitoring approach using fast moving window PCA , 2005 .

[26]  G. Box Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification , 1954 .

[27]  U. Kruger,et al.  Moving window kernel PCA for adaptive monitoring of nonlinear processes , 2009 .

[28]  Ali Cinar,et al.  Statistical process monitoring and disturbance diagnosis in multivariable continuous processes , 1996 .

[29]  George W. Irwin,et al.  Improved fault diagnosis in multivariate systems using regression-based reconstruction , 2009 .

[30]  Rongrong Sun,et al.  Fault diagnosis with between mode similarity analysis reconstruction for multimode processes , 2017 .

[31]  George W. Irwin,et al.  Fault reconstruction in linear dynamic systems using multivariate statistics , 2006 .

[32]  Liang Zhao,et al.  Fault detection in time-varying chemical process through incremental principal component analysis , 2016 .

[33]  Ali Cinar,et al.  Stable recursive canonical variate state space modeling for time-varying processes , 2015 .

[34]  In-Beum Lee,et al.  Adaptive multivariate statistical process control for monitoring time-varying processes , 2006 .

[35]  Jianchang Liu,et al.  Recursive Fault Detection and Identification for Time-Varying Processes , 2016 .

[36]  George W. Irwin,et al.  Improved reliability in diagnosing faults using multivariate statistics , 2006, Comput. Chem. Eng..

[37]  Theodora Kourti,et al.  Process analysis and abnormal situation detection: from theory to practice , 2002 .

[38]  Seongkyu Yoon,et al.  Fault diagnosis with multivariate statistical models part I: using steady state fault signatures , 2001 .

[39]  S. Joe Qin,et al.  Data-driven root cause diagnosis of faults in process industries , 2016, Chemometrics and Intelligent Laboratory Systems.

[40]  Gene H. Golub,et al.  Matrix computations , 1983 .

[41]  Stefano Marsili-Libelli,et al.  Adaptive data-derived anomaly detection in the activated sludge process of a large-scale wastewater treatment plant , 2016, Eng. Appl. Artif. Intell..

[42]  Tianyou Chai,et al.  Fault diagnosis of continuous annealing processes using a reconstruction-based method , 2012 .

[43]  John P. Miller,et al.  Statistical signatures used with principal component analysis for fault detection and isolation in a continuous reactor , 2006 .

[44]  S. Qin,et al.  Detection and identification of faulty sensors in dynamic processes , 2001 .

[45]  Si-Zhao Joe Qin,et al.  Reconstruction-based contribution for process monitoring , 2009, Autom..