Korean Journal of Chemical Engineering, Vol.34, No.2, 275-286, 2017
Fault detection based on polygon area statistics of transformation matrix identified from combined moving window data
Principal component analysis (PCA) has been widely used in monitoring industrial processes, but it is still necessary to make improvements in having a timely and effective access to variation information. It is known that the transformation matrix generated from real-time PCA model indicates inner relations between original variables and new produced components, so this matrix would be different when modeling data deviate due to the change of the operating condition. Based on this theory, this paper proposes a novel real-time monitoring approach which utilizes polygon area method to measure the variation degree of the transformation matrices and then constructs a statistic for monitoring purpose. The on-line data are collected through a combined moving window (CMW), containing both normal and monitored data. To evaluate the performance of the proposed method, a simple numerical simulation, the CSTR process and the classic Tennessee Eastman process are employed for illustration, with some PCA-based methods used for comparison.
[References]
Lee JM, Yoo CK, Lee IB, J. Process Control , 14 (5), 467, 2004
Nowicki A, Grochowski M, Duzinkiewicz K, Int. J. Appl. Mathematics Computer Sci. , 22 , 939, 2012
Jiang Q, Yan X, Lv Z, Guo M, Korean J. Chem. Eng. , 30 (6), 1181, 2013
Kolluri SS, Esfahani IJ, Garikiparthy PSN, Yoo CK, Korean J. Chem. Eng. , 32 (8), 1486, 2015
Lu C, Xiao S, Gu X, Korean J. Chem. Eng. , 31 (11), 1943, 2014
Jolliffe I, Principal component analysis, Wiley Online Library (2005).
Wehrens R, in Principal component analysis, pp. 43-66, Springer, (2011).
Chiang LH, Braatz RD, Russell EL, Fault detection and diagnosis in industrial systems, Springer Science & Business Media (2001).
Scholkopf B, Smola A, Muller KR, Neural Computation , 10 , 1299, 1998
Shao JD, Rong G, Lee JM, Chem. Eng. Res. Des. , 87 (11A), 1471, 2009
Cheng CY, Hsu CC, Chen MC, Ind. Eng. Chem. Res. , 49 (5), 2254, 2010
Jiang Q, Yan X, Korean J. Chem. Eng. , 31 (11), 1935, 2014
Hyvarinen A, Oja E, Neural Networks , 13 , 411, 2000
Hyvarinen A, Karhunen J, Oja E, Independent component analysis, Wiley (2004).
Ge Z, Song Z, Korean J. Chem. Eng. , 26 (6), 1467, 2009
Ge ZQ, Song ZH, Ind. Eng. Chem. Res. , 46 (7), 2054, 2007
Tong CD, Song Y, Yan XF, Ind. Eng. Chem. Res. , 52 (29), 9897, 2013
Ge ZQ, Zhang MG, Song ZH, J. Process Control , 20 (5), 676, 2010
Wang B, Yan X, Jiang Q, Lv Z, J. Chemometrics , 29 (3), 165, 2014
Nomikos P, Macgregor JF, AIChE J. , 40 (8), 1361, 1994
Majid NAA, Taylor MP, Chen JJ, Stam MA, Mulder A, Young BR, Control Eng. Practice , 19 , 367, 2011
Li WH, Yue HH, Valle-Cervantes S, Qin SJ, J. Process Control , 10 (5), 471, 2000
Cheng C, Chiu MS, Chemometrics Intell. Lab. Syst. , 76 , 1, 2005
Korenius T, Laurikkala J, Juhola M, Information Sciences , 177 , 4893, 2007
Lau C, Ghosh K, Hussain M, Che Hassan C, Chemometrics Intell. Lab. Syst. , 120 , 1, 2013
Alwan LC, Roberts HV, J. Business Economic Statistics , 6 , 87, 1988
Montgomery D, Mastrangelo C, Faltin FW, Woodall WH, MacGregor JF, Ryan TP, J. Quality Technol. , 23 , 179, 1991
Wiel SV, Technometrics , 38 , 139, 1996
Negiz A, Cinar A, AIChE J. , 43 (8), 2002, 1997
Simoglou A, Martin EB, Morris AJ, Comput. Chem. Eng. , 26 (6), 909, 2002
Ku W, Storer RH, Georgakis C, Chemometrics Intell. Lab. Syst. , 30 , 179, 1995
Jingyuan W, Zhijiang S, Peng J, Ketian Y, Zhiqiang C, Comput. Appl. Chem. , 1 , 2, 2010
Ryu SR, Noda I, Jung YM, Bull. Korean Chem. Soc. , 32 , 2232, 2011
Wang X, Kruger U, Irwin GW, Ind. Eng. Chem. Res. , 44 (15), 5691, 2005
Malinowski ER, Factor analysis in chemistry, Wiley (2002).
Camacho J, Ferrer A, J. Chemometrics , 26 , 361, 2012
Valle S, Li W, Qin SJ, Ind. Eng. Chem. Res. , 38 , 4389, 1999
Jiang QC, Yan XF, Zhao WX, Ind. Eng. Chem. Res. , 52 (4), 1635, 2013
Jiang QC, Yan XF, AIChE J. , 60 (3), 949, 2014
Bishop CM, Nasrabadi NM, Pattern recognition and machine learning, Springer New York (2006).
Kano M, Hasebe S, Hashimoto L, Ohno H, AIChE J. , 48 (6), 1231, 2002
Robbins DP, Discrete Computational Geometry , 12 , 223, 1994
Pak I, Adv. Appl. Mathematics , 34 , 690, 2005
Yoon SY, MacGregor JF, J. Process Control , 11 (4), 387, 2001
Cho JH, Lee JM, Choi SW, Lee D, Lee IB, Chem. Eng. Sci. , 60 (1), 279, 2005
Mansouri M, Nounou M, Nounou H, Karim N, J. Loss Prev. Process Ind. , 40 , 334, 2016
Alcala CF, Qin SJ, Ind. Eng. Chem. Res. , 49 (17), 7849, 2010
Downs JJ, Vogel EF, Comput. Chem. Eng. , 17 , 245, 1993
Jiang Q, Yan X, Huang B, IEEE Trans. Ind. Electron. , 63 , 377, 2015
Du KL, Swamy M, Neural Networks and Statistical Learning, 355, Springer (2014).
Wang B, Jiang Q, Yan X, Korean J. Chem. Eng. , 31 (6), 930, 2014
이전 논문 다음 논문
Result Search