A novel local neighborhood standardization strategy and its application in fault detection of multimode processes

Abstract Complex modern industrial processes often have several operating regions, and the multimode process data would follow different distributions. However, most multivariate statistical process monitoring (MSPM) methods, such as principal component analysis (PCA) and partial least squares (PLS), have a fundamental assumption that the operating data follow a unimodal distribution. These data-based MSPM methods cannot perform well when directly applied to multimode processes because the assumption becomes invalid. In this paper, a novel local neighborhood standardization (LNS) strategy is proposed as a data preprocessing method to address the challenges caused by the multimode characteristic of operating data. After a thorough analysis of LNS, a new method called LNS-PCA is developed for fault detection in multimode processes. Multimode data can be scaled to follow one single distribution by using LNS, approximately. Based on these scaled operating data, the monitoring model can be built more accurately by utilizing local information. The advantages of LNS-PCA are that only one model is required for multimode process monitoring and no process knowledge is needed. Finally, the validity and effectiveness of LNS-PCA are illustrated through a numerical example and the Tennessee Eastman process. The results show that the proposed data preprocessing method is very suitable for multimode data normalization and LNS-PCA is superior to traditional PCA for fault detection.

[1]  S. Wold,et al.  Multi‐way principal components‐and PLS‐analysis , 1987 .

[2]  Zhiqiang Ge,et al.  Robust Online Monitoring for Multimode Processes Based on Nonlinear External Analysis , 2008 .

[3]  P. Miller,et al.  Contribution plots: a missing link in multivariate quality control , 1998 .

[4]  Robert B. Ash,et al.  Probability & Measure Theory , 1999 .

[5]  Paul Geladi,et al.  Principal Component Analysis , 1987, Comprehensive Chemometrics.

[6]  Zhiqiang Ge,et al.  Two-dimensional Bayesian monitoring method for nonlinear multimode processes , 2011 .

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

[8]  Yuan Yao,et al.  Statistical analysis and online monitoring for multimode processes with between-mode transitions , 2010 .

[9]  Erik Johansson,et al.  Multivariate process and quality monitoring applied to an electrolysis process: Part I. Process supervision with multivariate control charts , 1998 .

[10]  Zhi-huan Song,et al.  Process Monitoring Based on Independent Component Analysis - Principal Component Analysis ( ICA - PCA ) and Similarity Factors , 2007 .

[11]  ChangKyoo Yoo,et al.  Statistical monitoring of dynamic processes based on dynamic independent component analysis , 2004 .

[12]  E. F. Vogel,et al.  A plant-wide industrial process control problem , 1993 .

[13]  Zhi-huan Song,et al.  Online monitoring of nonlinear multiple mode processes based on adaptive local model approach , 2008 .

[14]  Zhiqiang Ge,et al.  Multimode process monitoring based on Bayesian method , 2009 .

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

[16]  Rajagopalan Srinivasan,et al.  Multi-model based process condition monitoring of offshore oil and gas production process , 2010 .

[17]  S. Zhao,et al.  Monitoring of Processes with Multiple Operating Modes through Multiple Principle Component Analysis Models , 2004 .

[18]  Yew Seng Ng,et al.  An adjoined multi-model approach for monitoring batch and transient operations , 2009, Comput. Chem. Eng..

[19]  Jesús Picó,et al.  Multi-phase principal component analysis for batch processes modelling , 2006 .

[20]  Jianbo Yu,et al.  Hidden Markov models combining local and global information for nonlinear and multimodal process monitoring , 2010 .

[21]  S. Qin,et al.  Multimode process monitoring with Bayesian inference‐based finite Gaussian mixture models , 2008 .

[22]  Zhi-huan Song,et al.  Mixture Bayesian regularization method of PPCA for multimode process monitoring , 2010 .

[23]  A. J. Morris,et al.  Performance monitoring of a multi-product semi-batch process , 2001 .

[24]  Manabu Kano,et al.  Evolution of multivariate statistical process control: application of independent component analysis and external analysis , 2004, Comput. Chem. Eng..

[25]  Jie Zhang,et al.  Performance monitoring of processes with multiple operating modes through multiple PLS models , 2006 .

[26]  N. Ricker Optimal steady-state operation of the Tennessee Eastman challenge process , 1995 .

[27]  Christos Georgakis,et al.  Disturbance detection and isolation by dynamic principal component analysis , 1995 .

[28]  S. Qin,et al.  Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods† , 1999 .

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

[30]  C. Yoo,et al.  Nonlinear process monitoring using kernel principal component analysis , 2004 .

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

[32]  Chonghun Han,et al.  Robust Recursive Principal Component Analysis Modeling for Adaptive Monitoring , 2006 .

[33]  Ye-In Chang,et al.  All-nearest-neighbors finding based on the Hilbert curve , 2011, Expert Syst. Appl..

[34]  J. Macgregor,et al.  Monitoring batch processes using multiway principal component analysis , 1994 .

[35]  Ronald N. Perry,et al.  Simple and Efficient Traversal Methods for Quadtrees and Octrees , 2002, J. Graphics, GPU, & Game Tools.

[36]  Pekka Teppola,et al.  Adaptive Fuzzy C-Means clustering in process monitoring , 1999 .

[37]  H. Lilliefors On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown , 1967 .

[38]  Age K. Smilde,et al.  Critical evaluation of approaches for on-line batch process monitoring , 2002 .

[39]  S. Wold Cross-Validatory Estimation of the Number of Components in Factor and Principal Components Models , 1978 .

[40]  Chonghun Han,et al.  Real-time monitoring for a process with multiple operating modes , 1998 .

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

[42]  Chonghun Han,et al.  On-Line Process State Classification for Adaptive Monitoring , 2006 .

[43]  Bokyoung Kang,et al.  Integrating independent component analysis and local outlier factor for plant-wide process monitoring , 2011 .

[44]  Kris Villez,et al.  Multi‐model statistical process monitoring and diagnosis of a sequencing batch reactor , 2007, Biotechnology and bioengineering.

[45]  N. Lawrence Ricker,et al.  Decentralized control of the Tennessee Eastman Challenge Process , 1996 .