An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems

›› 2011, Vol. 19 ›› Issue (6): 999-1008.

An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems

曹稼斌, 张亮, 郑建荣, 夏春明

Department of Mechanical Engineering, East China University of Science and Technology, Shanghai 200237, China

收稿日期:2011-02-24 修回日期:2011-06-21 出版日期:2011-12-28 发布日期:2012-04-24
通讯作者: XIA Chunming, E-mail: cmxia@ecust.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (60974061)

An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems

CAO Jiabin, ZHANG Liang, ZHENG Jianrong, XIA Chunming

Department of Mechanical Engineering, East China University of Science and Technology, Shanghai 200237, China

Received:2011-02-24 Revised:2011-06-21 Online:2011-12-28 Published:2012-04-24
Supported by:
Supported by the National Natural Science Foundation of China (60974061)

摘要/Abstract

摘要： An integrated method for identifying the propagation of multi-loop process oscillations and their source location is proposed in this paper. Oscillatory process loop variables are automatically selected based on the component-related ratio index and a mixing matrix, both of which are obtained in data preprocessing by spectral independent component analysis. The complex causality among oscillatory process variables is then revealed by Granger causality test and is visualized in the form of causality diagram. The simplification of causal connectivity in the diagram is performed according to the understanding of process knowledge and the final simplest causality diagram, which represents the main oscillation propagation paths, is achieved by the automated cutting-off thresh-old search, with which less significant causality pathways are filtered out. The source of the oscillation disturbance can be identified intuitively through the final causality diagram. Both simulated and real plant data tests are presented to demonstrate the effectiveness and feasibility of the proposed method.

关键词: multi-loop system, process oscillation, spectral independent component analysis, Granger causality test, causality diagram, propagation path simplification, source locating

Abstract: An integrated method for identifying the propagation of multi-loop process oscillations and their source location is proposed in this paper. Oscillatory process loop variables are automatically selected based on the component-related ratio index and a mixing matrix, both of which are obtained in data preprocessing by spectral independent component analysis. The complex causality among oscillatory process variables is then revealed by Granger causality test and is visualized in the form of causality diagram. The simplification of causal connectivity in the diagram is performed according to the understanding of process knowledge and the final simplest causality diagram, which represents the main oscillation propagation paths, is achieved by the automated cutting-off thresh-old search, with which less significant causality pathways are filtered out. The source of the oscillation disturbance can be identified intuitively through the final causality diagram. Both simulated and real plant data tests are presented to demonstrate the effectiveness and feasibility of the proposed method.

Key words: multi-loop system, process oscillation, spectral independent component analysis, Granger causality test, causality diagram, propagation path simplification, source locating

曹稼斌, 张亮, 郑建荣, 夏春明. An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems[J]. , 2011, 19(6): 999-1008.

CAO Jiabin, ZHANG Liang, ZHENG Jianrong, XIA Chunming. An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems[J]. , 2011, 19(6): 999-1008.

参考文献

1 Harris, T.J., Seppala C.T., Desborough, L.D., “A review of performance monitoring and assessment techniques for univariate and multivariate control systems”, J. of Process Control, 9(1), 1-17(1999).
2 Huang, B., Shah, S. L., Performance Assessment of Control Loops, Springer, London(1999).
3 Thornhill, N.F., Horch, A., Advances and new directions in plant-wide disturbance detection and diagnosis”, Control Engineering Practice, 15, 196-1206(2007).
4 Srinivasan, R., Rengaswany, R., Miller, R., “Control loop performance assessment. 1. A qualitative approach for stiction diagnosis”, Industrial and Engineering Chemistry Research, 44, 6708-6718(2005).
5 Choudhury, M.A.A.S., Jain, M., Shah, S.L., “Stiction-definition, modelling, detection and quantification”, Journal of Process Control, 18, 232-243(2008).
6 Li, R., Rong, G., “Fault isolation by partial dynamic principal component analysis in dynamic process”, Chin. J. Chem. Eng., 14(4), 486-493(2006).
7 Xia, C., Howell, J., “Isolating multiple sources of plant-wide oscillations via independent component analysis”, Control Engineering Practice, 13(8), 1027-1035(2005).
8 Xia, C., Zheng, J., Howell, J., “Isolation of whole-plant multiple oscillations via non-negative spectral decomposition”, Chin. J. Chem. Eng., 15(3), 353-360(2007).
9 Thornhill, N.F., Cox, J.W., Paulonis, M.A., “Diagnosis of plant-wide oscillation through data-driven analysis and process understanding”, Control Engineering Practice, 11, 1481-1490(2003).
10 Bauer, M., Cox, J.W., Caveness, M.H., Downs, J.J., Thornhill, N.F., “Finding the direction of disturbance propagation in a chemical process using transfer entropy”, IEEE Transactions on Control Systems Technology, 15, 12-21(2007).
11 Bauer, M., Thornhill, N.F., “A practical method for identifying the propagation path of plant-wide disturbances”, Journal of Process Control, 18(7-8), 707-719(2008).
12 Xia, C., Wu, Q., ZHENG, J., “Propagation & root-cause identification of process oscillations via Granger causality test”, Journal of East China University of Science and Technology(Natural Science Edition), 36(1), 134-140(2010).(in Chinese)
13 Welch, P.D., “The use of fast Fourier transforms for the estimation of power spectra”, IEEE Transactions on Audio and Electroacoustics, AU-15, 70-73(1967).
14 Dickey, D.A., Fuller, W.A., “Distribution of the estimators for autoregressive time series with a unit root”, Journal of the American Statistical Association, 74, 427-431(1979).
15 Elliott, G., Rothenberg, T.J., Stock, J.H., “Efficient tests for an autoregressive unit root”, Econometrica: Journal of the Econometric Society, 64(4), 813-836(1996).
16 Said, S.E., Dickey, D.A., “Testing for unit roots in autoregressive moving average models of unknown order”, Biometrika, 71, 599-607(1984).
17 Schwarz, G., “Estimating the dimension of a model”, The Annals of Statistics, 6(2), 461-464(1978).
18 Granger, C.W.J., “Investigating causal relations by econometric models and cross-spectral methods”, Econometrica: Journal of the Econometric Society, 37(3), 424-438(1969).
19 Hacker, R.S., Hatemi, J.A., “Tests for causality between integrated variables using asymptotic and bootstrap distributions: theory and application”, Applied Economics, 38(13), 1489-1500(2006).
20 Abdi, H., “Bonferroni and Sidak corrections for multiple comparisons”, In: Encyclopedia of Measurement and Statistics, Sage, Thousand Oaks, 103-107(2007).
21 Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C., Introduction to Algorithms, 2nd edition, MIT Press and McGraw-Hill, Cambridge, MA, 540-549(2001).
22 Knuth, D.E., The Art of Computer Programming Vol. 1, 3rd edition, Addison-Wesley, Boston(1997).

An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems

An Integrated Approach to Oscillation Propagation Identification and Source Locating in Process Multi-loop Systems

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价