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Data science in chemical manufacturing
1.
36 www.aiche.org/cep March
2016 CEP Special Section: Big Data Analytics B ig data in the process industries has many of the characteristics represented by the four Vs — volume, variety, veracity, and velocity. However, process data can be distinguished from big data in other industries by the complexity of the questions we are trying to answer with process data. Not only do we want to find and interpret patterns in the data and use them for predictive purposes, but we also want to extract meaningful relationships that can be used to improve and optimize a process. Process data are also often characterized by the pres- ence of large numbers of variables from different sources, something that is generally much more difficult to handle than just large numbers of observations. Because of the multisource nature of process data, engineers conducting a process investigation must work closely with the IT depart- ment that provides the necessary infrastructure to put these data sets together in a contextually correct way. This article presents several success stories from dif- ferent industries where big data has been used to answer complex questions. Because most of these studies involve the use of latent variable (LV) methods such as principal component analysis (PCA) (1) and projection to latent structures (PLS) (2, 3), the article first provides a brief overview of those methods and explains the reasons such methods are particularly suitable for big data analysis. Latent variable methods Historical process data generally consist of measure- ments of many highly correlated variables (often hundreds to thousands), but the true statistical rank of the process, i.e., the number of underlying significant dimensions in which the process is actually moving, is often very small (about two to ten). This situation arises because only a few dominant events are driving the process under normal operations (e.g., raw material variations, environmental effects). In addition, more sophisticated online analyzers such as spectrometers and imaging systems are being used to generate large numbers of highly correlated measurements on each sample, which also require lower-rank models. Latent variable methods are uniquely suited for the analysis and interpretation of such data because they are based on the critical assumption that the data sets are of low statistical rank. They provide low-dimension latent variable models that capture the lower-rank spaces of the process variable (X) and the response (Y) data with- out over-fitting the data. This low-dimensional space is defined by a small number of statistically significant latent variables (t1, t2, …), which are linear combinations of the measured variables. Such variables can be used to con- struct simple score and loading plots, which provide a way to visualize and interpret the data. Big data holds much potential for optimizing and improving processes. See how it has already been used in a range of industries, from pharmaceuticals to pulp and paper. Salvador García Muñoz Eli Lilly and Co. John F. MacGregor ProSensus, Inc. BIG DATA Success Stories in the Process Industries Copyright © 2016 American Institute of Chemical Engineers (AIChE)
2.
CEP March 2016
www.aiche.org/cep 37 The scores can be thought of as scaled weighted aver- ages of the original variables, using the loadings as the weights for calculating the weighted averages. A score plot is a graph of the data in the latent variable space. The load- ings are the coefficients that reveal the groups of original variables that belong to the same latent variable, with one loading vector (W*) for each latent variable. A loading plot provides a graphical representation of the clustering of variables, revealing the identified correlations among them. The uniqueness of latent variable models is that they simultaneously model the low dimensional X and Y spaces, whereas classical regression methods assume that there is independent variation in all X and Y variables (which is referred to as full rank). Latent variable models show the relationships between combinations of variables and changes in operating conditions — thereby allowing us to gain insight and optimize processes based on such historical data. The remainder of the article presents several industrial applications of big data for: • the analysis and interpretation of historical data and troubleshooting process problems • optimizing processes and product performance • monitoring and controlling processes • integrating data from multivariate online analyzers and imaging sensors. Learning from process data A data set containing about 200,000 measurements was collected from a batch process for drying an agrochemical material — the final step in the manufacturing process. The unit is used to evaporate and collect the solvent contained in the initial charge and to dry the product to a target residual solvent level. The objective was to determine the operating conditions responsible for the overall low yields when off-specification product is rejected. The problem is highly complex because it requires the analysis of 11 initial raw material conditions, 10 time trajectories of process variables (trends in the evolu- tion of process variables), and the impact of the process variables on 11 physical properties of the final product. The available data were arranged in three blocks: • the time trajectories measured through the batch, which were characterized by milestone events (e.g., slope, total time for stage of operation), comprised Block X • Block Z contained measurements of the chemistry of the incoming materials • Block Y consisted of the 11 physical properties of the final product. A multiblock PLS (MBPLS) model was fitted to the three data blocks. The results were used to construct score plots (Figure 1), which show the batch-to-batch product quality variation, and the companion loading plots (Figure 2), which show the regressor variables (in X and Z) that were most highly correlated with such variability. Contrary to the initial hypothesis that the chemistry vari- ables (Z) were responsible for the off-spec product, the analy- sis isolated the time-varying process variables as a plausible cause for the product quality differences (Figure 1, red) (4). This was determined by observing the direction in which the product quality changes (arrow in Figure 1) and identifying the variables that line up in this direction of change (Figure 2). Variables z1–z11 line up in a direction that is close to perpen- dicular to the direction of quality change. Z1 Z3 Z10 Z5 Z4 Z8 Z2 Z7 Z11 Z6 Level1 Temp1 Time2 Time4 Temp2 Time1 Time3 TempSlope 0.7 0.6 0.5 0.4 0.3 0.2 0.71 0 –0.1 –0.2 –0.3 –0.4 –0.3 –0.2 –0.1 0 0.1 0.2 0.3 0.4 W* [1] W*[2] Z9 Weight Wet Cake p Figure 1. A score plot of two latent variables shows lots clustered by product quality. Source: (4). p Figure 2. A companion loading plot reveals the process parameters that were aligned with the direction of change in the score plot. Source: (4). 6 4 2 0 –2 –4 –6 –6 –4 –2 0 2 4 6 t2 t1 On-Spec (High Residual Solvent) On-Spec Off-Spec Copyright © 2016 American Institute of Chemical Engineers (AIChE)
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38 www.aiche.org/cep March
2016 CEP Special Section: Big Data Analytics Optimizing process operations The manufacture of formulated products (such as pharmaceutical tablets) generates a complex data set that extends beyond process conditions to also include informa- tion about the raw materials used in the manufacture of each lot of final product, and the physical properties of the raw materials. This case study can be represented by multiple blocks of data: the final quality of the product of interest (Y), the weighted average for the physical properties of the raw materials used in each lot (RXI), and the process and environmental conditions at which each lot was manufac- tured (Z). These blocks of data were used to build a MBPLS model that was later embedded within a mixed-integer non- linear programming (MINLP) optimization framework. The physical properties of the lots of material available in inven- tory are represented by data block XA and the properties of the lots of material used to manufacture the final product are represented by data block X. The objective for the optimization routine was to deter- mine the materials available in inventory that should be combined and the ratios (r) of those that should be blended to obtain the best next lot of finished product. The square of the difference between the predicted and the target quality of the product was used to choose the lots and blending ratios. The underlying calculations reduce the problem to the score space, where the differences in quality — in this case tablet dissolution — correspond to different locations on the score plot (Figure 3). The MINLP optimization routine identified the candidate materials available in inventory that should be blended together to make the final product so that the score for the next lot lands in the score space corresponding to the desired quality (i.e., target dissolu- tion). Implementing this optimization routine in real time significantly improved the quality of the product produced in this manufacturing process (Figure 4). Selecting the materials from inventory to be used in manufacturing a product is not as simple as choosing those that will produce the best lot of product. If you choose materials aiming to produce the best next lot, you will inevitably consume the best materials very fast; this may be acceptable for a low-volume product. For high-volume products, however, using this same calculation will lead to an undesired situation where the best materials have been depleted and the less-desirable raw materials are left. In this case, it is better to perform the optimization routine for the best next campaign (a series of lots), which will account for the fact that more than one acceptable lot of product is being manufactured. The optimization calcula- tion in this latter case will then balance the use of inventory and enable a better management of desireable vs. less- desirable raw materials for the entire campaign of manu- factured product. The MINLP objective function must be tailored to the material management needs for the given product so that it adequately considers operational constraints, such as the maximum number of lots of the same material to blend (5, 6). Monitoring processes Perhaps the most well-known application of principal components analysis in the chemical process industries (CPI) is its use as a monitoring tool, enabling true multi- variate statistical process control (MSPC) (7, 8). In this example, a PCA model was used to describe the normal variability in the operation of a closed spray drying system in a pharmaceutical manufacturing process (9). The system Slow Dissolution Fast Dissolution Target Dissolution 1.5 1 0.5 0 –0.5 –1 –1.5 –2 –1.5 –1 –0.5 0 0.5 1 1.5 2 t3 t1 p Figure 3. The dissolution speed of a pharmaceutical tablet is identified on a score plot of the latent variables. Source: (5). Historical Data Best-Next-Lot Approach Best-Next-Campaign Approach {{ Quality Problems Dissolution,% USL LSL Target 45 40 35 30 25 20 15 Lots of Finished Goods p Figure 4. A control chart of the degree of dissolution of a pharmaceuti- cal tablet reveals the onset of quality problems. Quality problems are reduced by the implementation of a best-next-lot solution, then eliminated by the best-next-campaign approach. Source: (6). Copyright © 2016 American Institute of Chemical Engineers (AIChE)
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www.aiche.org/cep 39 (Figure 5) includes measurements of 16 process variables, which can be projected by a PCA model into two principal components (t1 and t2), each of which describes a differ- ent source of variability in the process. A score plot that updates in real time can then be used as a graphical tool to determine when the process is exhibiting abnormal behavior. This is illustrated in Figure 6, where the red dots indicate the current state of the process, which is clearly outside of the normal operating conditions (gray markers). It is important to emphasize that this model could be used to effectively monitor product quality without the need to add online sensors to measure product properties. Building an effective monitoring system requires a good data set that is representative of the normal operating con- ditions of the process. Control of batch processes Multivariate PLS models built from process data that relate the initial conditions of the batch (Z), the time-varying process trajectories (X), and the final quality attributes (Y) (10) provide an effective way to control product quality and productivity of batch processes. Those models can be used online to collect evolving data of any new batch (first the initial data in Z and then the evolving data in X), which are then used to update the predictions of final product qual- ity (Y) at every time interval during the batch process. At certain critical decision points (usually each batch has one or two), a multivariate optimization routine is run to identify control actions that will drive the final quality into a desired target region and maximize productivity while respecting all operating constraints (11–13). Figure 7 displays one quality attribute of a high-value food product before and after this advanced process 6 4 2 0 –2 –4 –6 –10 –8 –6 –4 –2 0 2 4 6 8 10 t1 t2 Abnormal Operating Conditions Normal Operating Conditions p Figure 6. A score plot of the two principal components describing the closed-loop spray drying system (Figure 5) shows that the process is operating under abnormal conditions. Source: (9). p Figure 5. A closed-loop spray drying system in a pharmaceutical manufacturing facility is being monitored by the measurement of 16 variables that a PCA model projects into two principal components. Source: (9). With Control No Control 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 –0.4 –0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Deviation from Target FinalProductQualityAttribute p Figure 7. Advanced control eliminated the variation in the final product quality attribute of a food product. Source: (9). Feed Pump Drying Chamber T P FS T P W Cyclone Baghouse Process Heater HEPA Filter Thermal Mass Flow Sensor FS Supply Fan Condenser Exhaust Fan HEPA Filter Data Logging of Product Collection Weight Exhaust Pressure Controlled by Exhaust Fan Speed Drying Gas Flowrate Controlled by Supply Fan Speed Exhaust Pressure Transducer Copyright © 2016 American Institute of Chemical Engineers (AIChE)
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2016 CEP Special Section: Big Data Analytics control method was implemented over many thousands of batches. The process control method reduced the root- mean-square deviation from the target for all final product quality attributes by 50–70% and increased batch produc- tivity by 20%. Analyzing information from advanced analyzers and imaging sensors The use of more-sophisticated online analyzers (e.g., online spectrometers) and image-based sensors for online process monitoring is becoming more prevalent in the CPI. With that comes the need for more powerful meth- ods to handle and extract information from the large and diverse data blocks acquired from such sophisticated online monitors. Latent variable methods provide an effec- tive approach (14). Consider a soft sensor (i.e., virtual sensor software that processes several measurements together) application for predicting the quality of product exiting a lime kiln at a pulp and paper mill. Real-time measurements on many process variables were combined with images from a color camera capturing the combustion region of the kiln. The information extracted from the combustion zone images and data from the process data blocks were combined using the online multivariate model to assess combustion stability and make 2-hr-ahead predictions of the exit lime quality. Concluding remarks Contextually correct historical data is a critical asset that a corporation can take advantage of to expedite asser- tive decisions (3). A potential pitfall in the analysis of big data is assuming that the data will contain information just because there is an abundance of data. Data contain information if they are organized in a contextually cor- rect manner; the practitioner should not underestimate the effort and investment necessary to organize data such that information can be extracted from them. Multivariate latent variable methods are effective tools for extracting information from big data. These methods reduce the size and complexity of the problem to simple and manageable diagnostics and plots that are accessible to all consumers of the information, from the process design- ers and line engineers to the operations personnel. CEP Literature Cited 1. Jackson, E., “A User’s Guide to Principal Components,” 1st ed., John Wiley and Sons, Hoboken, NJ (1991). 2. Höskuldsson, A., “PLS Regression Methods,” Journal of Chemo- metrics, 2 (3), pp. 211–228 (June 1988). 3. Wold, S., et al., “PLS — Partial Least-Squares Projection to Latent Structures,” in Kubiny, H., ed., “3D-QSAR in Drug Design,” ESCOM Science Publishers, Leiden, The Netherlands, pp. 523–550 (1993). 4. García Muñoz, S., et al., “Troubleshooting of an Industrial Batch Process Using Multivariate Methods,” Industrial and Engineering Chemistry Research, 42 (15), pp. 3592–3601 (2003). 5. García Muñoz, S., and J. A. Mercado, “Optimal Selection of Raw Materials for Pharmaceutical Drug Product Design and Manufacture Using Mixed Integer Non-Linear Programming and Multivariate Latent Variable Regression Models,” Industrial and Engineering Chemistry Research, 52 (17), pp. 5934–5942 (2013). 6. García Muñoz, S., et al., “A Computer Aided Optimal Inventory Selection System for Continuous Quality Improvement in Drug Product Manufacture,” Computers and Chemical Engineering, 60, pp. 396–402 (Jan. 10, 2014). 7. MacGregor, J. F., and T. Kourti, “Statistical Process Control of Multivariable Processes,” Control Engineering Practice, 3 (3), pp. 403–414 (1995). 8. Kourti, T., and J. F. MacGregor, “Recent Developments in Multivariate SPC Methods for Monitoring and Diagnosing Process and Product Performance,” Journal of Quality Technology, 28 (4), pp. 409–428 (1996). 9. García Muñoz, S., and D. Settell, “Application of Multivariate Latent Variable Modeling to Pilot-Scale Spray Drying Monitoring and Fault Detection: Monitoring with Fundamental Knowledge,” Computers and Chemical Engineering, 33 (12), pp. 2106–2110 (2009). 10. Kourti, T., et al., “Analysis, Monitoring and Fault Diagnosis of Batch Processes Using Multiblock and Multiway PLS,” Journal of Process Control, 5, pp. 277–284 (1995). 11. Yabuki, Y., and J. F. MacGregor, “Product Quality Control in Semibatch Reactors Using Midcourse Correction Policies,” Industrial and Engineering Chemistry Research, 36, pp. 1268–1275 (1997). 12. Yabuki, Y., et al., “An Industrial Experience with Product Quality Control in Semi-Batch Processes,” Computers and Chemical Engi- neering, 24, pp. 585–590 (2000). 13. Flores-Cerrillo, J., and J. F. MacGregor, “Within-Batch and Batch-to-Batch Inferential Adaptive Control of Semi-Batch Reactors,” Industrial and Engineering Chemistry Research, 42, pp. 3334–3345 (2003). 14. Yu, H., et al., “Digital Imaging for Online Monitoring and Control of Industrial Snack Food Processes,” Industrial and Engineering Chemistry Research, 42 (13), pp. 3036–3044 (2003). Multivariate latent variable methods reduce a problem to manageable diagnostics and simple plots. Copyright © 2016 American Institute of Chemical Engineers (AIChE)
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