Transient-State Fault Detection System Based on Principal Component Analysis for Distillation Columns

Gregorio Moreno-Sotelo, Adriana del Carmen Téllez-Anguiano (), Mario Heras-Cervantes, Ricardo Martínez-Parrales and Gerardo Marx Chávez-Campos
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Gregorio Moreno-Sotelo: DEPI, TecNM, Instituto Tecnológico de Morelia, Av. Tecnológico No. 1500, Col. Lomas de Santiaguito, Morelia 58120, Michoacán, Mexico
Adriana del Carmen Téllez-Anguiano: DEPI, TecNM, Instituto Tecnológico de Morelia, Av. Tecnológico No. 1500, Col. Lomas de Santiaguito, Morelia 58120, Michoacán, Mexico
Mario Heras-Cervantes: DEPI, TecNM, Instituto Tecnológico de Morelia, Av. Tecnológico No. 1500, Col. Lomas de Santiaguito, Morelia 58120, Michoacán, Mexico
Ricardo Martínez-Parrales: DEPI, TecNM, Instituto Tecnológico de Morelia, Av. Tecnológico No. 1500, Col. Lomas de Santiaguito, Morelia 58120, Michoacán, Mexico
Gerardo Marx Chávez-Campos: DEPI, TecNM, Instituto Tecnológico de Morelia, Av. Tecnológico No. 1500, Col. Lomas de Santiaguito, Morelia 58120, Michoacán, Mexico

Mathematics, 2025, vol. 13, issue 11, 1-22

Abstract: This paper presents the design of a fault detection system (FDD) based on principal component analysis (PCA) to detect faults in the transient state of distillation processes. The FDD system detects faults due to changes in calorific power and pressure leaks that can occur during the heating of the mixture to be distilled (transient), mainly affecting the quality of the distilled product and the safety of the process and operators. The proposed FDD system is based on PCA with a T2 Hotelling statistical approach, considering data from a real distillation pilot plant process. The FDD system is evaluated with two fault scenarios, performing power changes and pressure leaks in the pilot plant reboiler during the transient state. Finally, the results of the FDD system are analyzed using Accuracy, Precision, Recall, and Specificity metrics to validate its performance.

Keywords: PCA; fault detection; multivariate analysis; Hotelling; transient faults; column distillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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