Fault Detection and Diagnosis of the Tennessee Eastman
- Slides: 18
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 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 • 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 << 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 reserved.
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 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 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 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 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 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 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 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 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 Copyright © SAS Inst itute Inc. All rig hts reserved. MDMCC Report
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. • 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 itute Inc. All rig hts reserved.
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