Statistical batch process monitoring using gray models

• Published in: AIChE journal 2005-03, Vol.51 (3), p.931-945
• Main Authors: Van sprang, E. N. M., Ramaker, H.-J., Westerhuis, J. A., Smilde, A. K., Wienke, D.
• Format: Article
• Language: English
• Subjects: Applied sciences; Batch processes; Chemical engineering; control charts; Exact sciences and technology; gray models; MSPC; Process engineering; Safety; Simulation; statistical batch process monitoring
• ISSN: 0001-1541; 1547-5905
• DOI: 10.1002/aic.10348

A complete strategy for monitoring industrial batches processes using gray models is presented including fault detection and fault diagnosis tools. The use of gray models is a novel concept in batch process modeling and monitoring. A gray model is a hybrid model, intermediate between hard (white) process models and soft (black) models, combining the advantages of both approaches. The principles of gray models are explained and it is shown how these models can be constructed. For this purpose an industrial batch process is available that is spectroscopically monitored, and an explanation is provided as to how the spectroscopic measurements are combined with prior process knowledge. To show the versatility of the strategy, two types of gray models are constructed and used for statistical batch process monitoring. The two models are compared and validated for both on‐line monitoring and post‐batch analysis. For the latter, the batch consistency number (BCN) is introduced to have a fast and simple post‐batch analysis. The results show how these models help to detect and diagnose process upsets. The use of gray models for batch process monitoring results in a fast detection of process upsets and a good fault diagnosis. © 2005 American Institute of Chemical Engineers AIChE J, 51: 931–945, 2005