Adaptive threshold PCA for fault detection and isolation
DOI:
https://doi.org/10.18196/jrc.2364Keywords:
Fault detection, PCA, incipient faultsAbstract
Fault diagnosis is an important issue in industrial processes to avoid economic losses, process damage, and to guarantee safe working conditions for the operators. For high scale industrial processes the data-driven based methods are the best solution for process monitoring and fault diagnosis. Thus, in this paper, the principal component analysis is shown to detect and isolate faults. Also, a dynamic threshold is implemented to avoid false alarms because incipient faults are difficult to be detected. As a case of study, the Tennessee Eastman (TE) process is used to apply this strategy because the interaction among five units with internal control loops makes difficult to have an approached model. As results are shown the detection times, for cases where were analyzed incipient faults, the time required for fault detection must be improved, in this work, an adaptive threshold was used to reduce the false alarms but it also increases the detection times. It was concluded that the Q chart gave a better result for fault detection; the isolation times were similar to the detection ones. Two incipient faults could not be detected, the fault detection rate was similar to the shown in literature, but the detection times were better in 35% of the cases, unfortunately for four faults the detection times were bigger than the reported in other papers. It is proposed to help this method with independent component analysis due it is not guaranteed to have a Gaussian distribution in the samples.References
S. Krishnannair and C. Aldrich, “Fault detection in the Tennessee Eastman benchmark process with nonlinear singular spectrum analysis,” IFAC PaperOnLine, vol. 50, no. 1, 2017, pp. 8005–8010.
S. Yin, S. Ding, A. Haghani, H. Hao and P. Zhang, “A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process ,” Journal of Process Control, vol. 22, 2012, pp. 1567–1581.
Y. Du and D. Du, “Fault detection and diagnosis using empirical mode decomposition based principal component analysis,” Computers and Chemical Engineering, vol. 115, 2018, pp. 1–21.
J. Chen, W. Zhang, and H.V. Poor, “An FDR-oriented approach to multiple sequential fault detection and isolation,” in 2017 55th Annual Allerton Conference on Communication, Control and Computing, Monticello, 2017, pp. 112–125.
K. Khakipour, A. Safavi and P. Setoodeh, “Bearing fault diagnosis with morphological gradient wavelet,” Journal of the Franklin Institute, vol. 354, 2017, pp. 2465–2476.
R. Gopinath, C. Santhosh-Kumar, K. Ramachandran, V. Upendranath and P. Sai-Kiran, “Intelligent fault diagnosis of synchronous generators,” Expert Systems with Applications, vol. 45, 2016, pp. 142–149.
F. Zhou, J. Park and Y. Liu, “Differential feature based hierarchical PCA fault detection method for dynamic fault,” Neurocomputing, vol. 202, 2016, pp. 27–35.
C. Lau, K. Ghosh, M. Hussain and C.C: Hassan, “Fault diagnosis of Tennessee Eastman process with multi-scale PCA and ANFIS,” Chemometrics and Intelligent Laboratory Systems, vol. 120, 2013, pp. 1–14.
M.Z. Sheriff, M. Mansouri, M.N. Karim, H. Nounou and M. Nounou, “Fault detection using multi-scale PCA-based moving window GLRT,” Journal of Process Control, vol. 54, 2017, pp. 47–64.
J. Downs and E. Vogel, “A plant-wide industrial process control problem,” Computers and Chemical Engineering, vol. 17, no. 3, 1993, pp. 245–255.
H. Chen. P. Tinǒ and X. Yao, “Cognitive fault diagnosis in Tennessee Eastman process using learning in the model space,” Computer and Chemical Engineering, vol. 67, 2014, pp. 33–42.
D.V. Ramana and S. Baskar, “Incipient fault detection of the inverter fed induction motor drive,” International Journal of Power Electronics and Drive Systems, vol. 8, no. 2, 2017, pp. 722–729.
A. Bathelt, N. Ricker and M. Jelali, “Revision on the Tennessee Eastman process model,” IFAC Papers-Online, vol. 48, no. 8, 2015, pp. 309–314.
X. Gao and J. Hou, “An improved SVM integrated GS-PCA fault diagnosis approach of the Tennessee Eastman process,” Neurocomputing, vol. 174, 2016, pp. 906–911.
M.Z. Sheriff, N. Basha, M.N. Karim, H. Nounou and M. Nounou, “Fault detection of single and interval valued data using statistical process monitoring techniques,” in book: Fault Detection, Diagnosis and Prognosis, University of Castile, 2020, pp. 1–21.
A. Alkaya and I. Eker, “Variance sensitive adaptive threshold-based PCA method for fault detection with experimental application,” ISA Transactions, vol. 50, 2011, pp. 287–302.
K. Liu, Z. Fei, B. Yue, J. Liang and H. Lin, “Adaptive sparse principal component analysis for enhanced process monitoring and fault isolation,” Chemometrics and Intelligent Laboratory Systems, vol. 146, 2015, pp. 426–436.
V.K. Kandula. Fault detection in process control plants using principal component analysis. Master’s thesis, Luisiana State University and Agricultural and Mechanical College, 2011.
J.L. Devore. Probability and statistics for engineering and the science, 9nd ed., Cengage Learning, Boston, USA, 2014, pp. 354–356.
N. Ayech, C. Chackour and M.F. Harkat, “New adaptive moving window PCA for process monitoring,” IFAC PapersOnLine, vol. 45, no. 20, 2012, pp. 606–611.
B. Mnassari, E. El-Adel and M. Ouladsine, “Generalization and analysis of sufficient conditions for PCA-based fault detectability and isolability,” Annual Reviews in Control, vol. 37, 2013, pp. 154–162.
A. Casavola and G. Gagliardi, “Fault detection and isolation of electrical induction motors via LPV fault observers: a case study,” International Journal of Robust and Nonlinear Control, vol. 25, 2015, pp. 627–648.
K. Salahshoor and F. Kiasi, “On-line process monitoring based on wavelet-ICA methodology,” IFAC Proceedings Volumes, vol. 41, no. 2, 2008, pp. 7413–7420.
L. Lou, S. Bao and C. Tong, “Sparse robust principal component analysis with applications to fault detection and diagnosis,” Industrial & Engineering Chemistry Research, vol. 58, 2019, pp. 1300–1309.
T. Ait-Izem, M. Harkat, M. Djeghaba and F. Kratz, “On the application of interval PCA to process monitoring: A robust strategy for sensor FDI with new efficient control statistics,” Journal of Process Control, vol. 63, 2018, pp. 29–46.
C. Chakour, A. Benyounes and M. Boudiaf, “Diagnosis of uncertain nonlinear systems using interval kernel principal component analysis: Application to a weather station,” ISA Transactions, vol. 83, 2018, pp. 126–141.
M. Mansouri, M. Harkat and M.N.H. Nounou, “Midpoint-radii principal component analysis-based EWMA and application to air quality monitoring network,” Chemometrics and Intelligent Laboratoty Systems, vol. 175, 2018, pp. 55–64.
E. Vanhatalo, M. Kulahci and B. Bergquist, “On the structure of dynamical principal component analysis used in statistical process monitoring,” Chemometrics and Intelligent Laboratory Systems, vol. 167, 2017, pp. 1–11.
H. Cheng, M. Nikus and S. Jämsä, “Evaluation of PCA methods with improved fault isolation capabilities on a paper machine simulator,” Chemometrics and Intelligent Laboratory Systems, vol. 92, 2008, pp. 186–199.
R.T. Samuel and Y. Cao, “Dynamic latent variable modeling and fault detection of Tennessee Eastman challenge process,” in 2016 IEEE International Conference on Industrial Engineering (ICIT), Taipei, 2016, pp. 842–847.
Y.H. He, Y. Zhao, X. Hu, X.N. Yan, Q.X. Zhu and Y. Xu, “Fault diagnosis using novel AdaBoost based discriminant locality preserving projections with resamples,” Enginnering Applications of Artificial Intelligence, vol. 91, 2020, pp. 103631.
F. Serdio, E. Lughofer, K. Pichler, T. Buchegger and H. Efendic, “Resudual-based fault detection using soft computing techniques for condition monitoring at rolling mills,” Information Science, vol. 259, 2014, pp. 304–320.
X. Gao and J. Hou, “An improved SVM integrated GS-PCA fault diagnosis approach of Tennessee Eastman process,” Neurocomputing, vol. 174, 2016, pp. 906–911.
D. Xie and L. Bai, “A hierarchical deep neural network for fault diagnosis on Tennessee Eastman process,” in 2015 IEEE 14th International Conference on Machine Learning and Applications (ICMLA), Miami, 2015, pp. 745–748.
I. Prasojo, A. Maseleno, O. Tanane and N. Shahu, “Design of automatic watering system based on Arduino,” Journal of Robotics and Control, vol. 1, no. 2, 2020, pp. 55–58.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
This journal is based on the work at https://journal.umy.ac.id/index.php/jrc under license from Creative Commons Attribution-ShareAlike 4.0 International License. You are free to:
- Share – copy and redistribute the material in any medium or format.
- Adapt – remix, transform, and build upon the material for any purpose, even comercially.
The licensor cannot revoke these freedoms as long as you follow the license terms, which include the following:
- Attribution. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- ShareAlike. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
- No additional restrictions. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
• Creative Commons Attribution-ShareAlike (CC BY-SA)
JRC is licensed under an International License