Local component based principal component analysis model for multimode process monitoring

doi:10.1016/j.cjche.2020.10.030

Abstract

Abstract: For plant-wide processes with multiple operating conditions, the multimode feature imposes some chal lenges to conventional monitoring techniques. Hence, to solve this problem, this paper provides a novel local component based principal component analysis (LCPCA) approach for monitoring the status of a multimode process. In LCPCA, the process prior knowledge of mode division is not required and it purely based on the process data. Firstly, LCPCA divides the processes data into multiple local components using finite Gaussian mixture model mixture (FGMM). Then, calculating the posterior probability is applied to determine each sample belonging to which local component. After that, the local component information (such as mean and standard deviation) is used to standardize each sample of local component. Finally, the standardized samples of each local component are combined to train PCA monitoring model. Based on the PCA monitoring model, two monitoring statistics T² and SPE are used for monitoring multimode pro cesses. Through a numerical example and the Tennessee Eastman (TE) process, the monitoring result demonstrates that LCPCA outperformed conventional PCA and LNS-PCA in the fault detection rate.

Key words: Principal component analysis, Finite Gaussian mixture model, Process monitoring, Tennessee Eastman (TE) process

摘要： For plant-wide processes with multiple operating conditions, the multimode feature imposes some chal lenges to conventional monitoring techniques. Hence, to solve this problem, this paper provides a novel local component based principal component analysis (LCPCA) approach for monitoring the status of a multimode process. In LCPCA, the process prior knowledge of mode division is not required and it purely based on the process data. Firstly, LCPCA divides the processes data into multiple local components using finite Gaussian mixture model mixture (FGMM). Then, calculating the posterior probability is applied to determine each sample belonging to which local component. After that, the local component information (such as mean and standard deviation) is used to standardize each sample of local component. Finally, the standardized samples of each local component are combined to train PCA monitoring model. Based on the PCA monitoring model, two monitoring statistics T² and SPE are used for monitoring multimode pro cesses. Through a numerical example and the Tennessee Eastman (TE) process, the monitoring result demonstrates that LCPCA outperformed conventional PCA and LNS-PCA in the fault detection rate.

关键词: Principal component analysis, Finite Gaussian mixture model, Process monitoring, Tennessee Eastman (TE) process

Yuan Li, Dongsheng Yang. Local component based principal component analysis model for multimode process monitoring[J]. Chinese Journal of Chemical Engineering, 2021, 34(6): 116-124.

Yuan Li, Dongsheng Yang. Local component based principal component analysis model for multimode process monitoring[J]. 中国化学工程学报, 2021, 34(6): 116-124.

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