Fault Detection and Diagnosis of the Tennessee Eastman

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Fault Detection and Diagnosis of the Tennessee Eastman Process using Multivariate Control Charts Jeremy

Fault Detection and Diagnosis of the Tennessee Eastman Process using Multivariate Control Charts Jeremy Ash, JMP Division, SAS Institute Copyright © SAS Inst itute Inc. All rig hts reserved.

Preliminaries I am assuming some knowledge of statistical process control • If you haven’t

Preliminaries I am assuming some knowledge of statistical process control • If you haven’t already seen these talks on MDMCC: • • Large-Scale Process Monitoring Using JMP - Jianfeng Ding and Laura Lancaster • Monitoring, Diagnosing and Improving Large-Scale Complex Processes - Byron Wingerd • Focus areas of this talk • Application of MDMCC to a simulation of a real world industrial chemical process • On-line monitoring of data in a database Copyright © SAS Inst itute Inc. All rig hts reserved.

Why Not Use Univariate Control Charts? Quality control data sets are often high dimensional

Why Not Use Univariate Control Charts? Quality control data sets are often high dimensional • Multivariate outliers can go undetected: • Univariate in-control Multivariate out-of-control Copyright © SAS Inst itute Inc. All rig hts reserved.

PCA and PLS Projection Methods a p • PCA X Process n a a

PCA and PLS Projection Methods a p • PCA X Process n a a << p n P` PLS p X Process n a T W` Copyright © SAS Inst itute Inc. All rig hts reserved. a T m a U n Max(Cov (tk, uk)) a Y Quality Q`

T 2 and SPE Charts Copyright © SAS Inst itute Inc. All rig hts

T 2 and SPE Charts Copyright © SAS Inst itute Inc. All rig hts reserved.

Historical Versus Current Data Build models Apply models Historical process New process data Copyright

Historical Versus Current Data Build models Apply models Historical process New process data Copyright © SAS Inst itute Inc. All rig hts reserved.

Tennessee Eastman Process • Simulation of an industrial chemical process • Developed by Downs

Tennessee Eastman Process • Simulation of an industrial chemical process • Developed by Downs and Vogel 1 at Eastman Chemical • The simulated process: • Used extensively in the benchmarking of multivariate process control methods Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Process Diagram Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Process Diagram Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Manipulated Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Measurement Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Measurement Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Composition Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical

Composition Variables Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Demo Overview Process Oracle, My. SQL, etc. Streaming Session JMP Data Table Monitoring Session

Demo Overview Process Oracle, My. SQL, etc. Streaming Session JMP Data Table Monitoring Session Copyright © SAS Inst itute Inc. All rig hts reserved. MDMCC Report

Process Control Goals • Downs and Vogel didn’t provide a single performance metric •

Process Control Goals • Downs and Vogel didn’t provide a single performance metric • “We felt that the tradeoffs among the possible control strategies and techniques involve much more than a mathematical expression. ” • Goals: • Maintain the process variables at desired values • Minimize variability of product quality during disturbances • Recover quickly and smoothly from disturbances Downs, J. J. , & Vogel, E. F. (1993). Computers & chemical engineering, 17(3), 245 -255. Copyright © SAS Inst itute Inc. All rig hts reserved.

Key MDMCC Features Multivariate Control Charts • On-line fault detection and off-line fault diagnosis.

Key MDMCC Features Multivariate Control Charts • On-line fault detection and off-line fault diagnosis. • Methods to “drill down” to the root cause of a fault. • Switching between multivariate and univariate control chats in an interactive and user-friendly way. Chiang, L. H. , Russell, E. L. , & Braatz, R. D. (2000). Copyright © SAS Inst itute Inc. All rig hts reserved. Univariate Control Charts

Email me with any further questions! • Jeremy. Ash@jmp. com Copyright © SAS Inst

Email me with any further questions! • Jeremy. Ash@jmp. com Copyright © SAS Inst itute Inc. All rig hts reserved.