Detection of Causality between Process Variables Based on Industrial Alarm Data Using Transfer Entropy

In modern industrial processes, it is easier and less expensive to configure alarms by software settings rather than by wiring, which causes the rapid growth of the number of alarms. Moreover, because there exist complex interactions, in particular the causal relationship among different parts in the process, a fault may propagate along propagation pathways once an abnormal situation occurs, which brings great difficulty to operators to identify its root cause immediately and to take proper actions correctly. Therefore, causality detection becomes a very important problem in the context of multivariate alarm analysis and design. Transfer entropy has become an effective and widely-used method to detect causality between different continuous process variables in both linear and nonlinear situations in recent years. However, such conventional methods to detect causality based on transfer entropy are computationally costly. Alternatively, using binary alarm series can be more computational-friendly and more direct because alarm data analysis is straightforward for alarm management in practice. The methodology and implementation issues are discussed in this paper. Illustrated by several case studies, including both numerical cases and simulated industrial cases, the proposed method is demonstrated to be suitable for industrial situations contaminated by noise.

[1]  A. Seth,et al.  Granger causality and transfer entropy are equivalent for Gaussian variables. , 2009, Physical review letters.

[2]  Tongwen Chen,et al.  Detection of Correlated Alarms Based on Similarity Coefficients of Binary Data , 2013, IEEE Transactions on Automation Science and Engineering.

[3]  E. F. Vogel,et al.  A plant-wide industrial process control problem , 1993 .

[4]  B. Vogel-Heuser,et al.  Computing dependent industrial alarms for alarm flood reduction , 2012, International Multi-Conference on Systems, Sygnals & Devices.

[5]  N. Lawrence Ricker,et al.  Decentralized control of the Tennessee Eastman Challenge Process , 1996 .

[6]  Daniele Marinazzo,et al.  Radial basis function approach to nonlinear Granger causality of time series. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Nina F. Thornhill,et al.  Nearest neighbors methods for root cause analysis of plantwide disturbances , 2007 .

[8]  Tongwen Chen,et al.  Methods for root cause diagnosis of plant‐wide oscillations , 2014 .

[9]  Sirish L. Shah,et al.  Signed directed graph based modeling and its validation from process knowledge and process data , 2012, Int. J. Appl. Math. Comput. Sci..

[10]  Nina F. Thornhill,et al.  Finding the Direction of Disturbance Propagation in a Chemical Process Using Transfer Entropy , 2007, IEEE Transactions on Control Systems Technology.

[11]  Nina F. Thornhill,et al.  A practical method for identifying the propagation path of plant-wide disturbances , 2008 .

[12]  Sirish L. Shah,et al.  Quantification of alarm chatter based on run length distributions , 2010, 49th IEEE Conference on Decision and Control (CDC).

[13]  C. Granger Investigating causal relations by econometric models and cross-spectral methods , 1969 .

[14]  John M. Beggs,et al.  Extending Transfer Entropy Improves Identification of Effective Connectivity in a Spiking Cortical Network Model , 2011, PloS one.

[15]  Sirish L. Shah,et al.  Direct Causality Detection via the Transfer Entropy Approach , 2013, IEEE Transactions on Control Systems Technology.

[16]  강일,et al.  Decentralized control of the tennessee eastman process = 테네시-이스트만 공정의 분산 제어 , 1999 .

[17]  Matthäus Staniek,et al.  Symbolic transfer entropy. , 2008, Physical review letters.

[18]  Fan Yang,et al.  Signed directed graph-based hierarchical modelling and fault propagation analysis for large-scale systems , 2013 .

[19]  Fan Yang,et al.  Capturing Connectivity and Causality in Complex Industrial Processes , 2014 .

[20]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[21]  S L Shah,et al.  Improved correlation analysis and visualization of industrial alarm data. , 2012, ISA transactions.

[22]  Sirish L. Shah,et al.  Transfer Zero-Entropy and Its Application for Capturing Cause and Effect Relationship Between Variables , 2015, IEEE Transactions on Control Systems Technology.

[23]  Schreiber,et al.  Measuring information transfer , 2000, Physical review letters.

[24]  Masaru Noda,et al.  Event correlation analysis for alarm system rationalization , 2011 .

[25]  Sirish L. Shah,et al.  Optimal Alarm Design , 2009 .

[26]  Carsten Beuthel,et al.  Intelligent alarming Effective alarm management improves safety , fault diagnosis and quality control , 2007 .

[27]  Fan Yang,et al.  Capturing Causality from Process Data , 2014 .

[28]  X. Rong Li Probability, Random Signals, and Statistics , 1999 .