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Lag-Specific Transfer Entropy for Root Cause Diagnosis and Delay Estimation in Industrial Sensor Networks
Rui Chen1, Shu Liang1, Jian-Guo Wang2
1College of Electronic and Information Engineering, Tongji University, Shanghai 200092, China.
Sensors (Basel, Switzerland)
|July 12, 2025
Summary
This study introduces lag-specific transfer entropy (LSTE) to pinpoint disturbance origins in industrial plants. LSTE accurately identifies the first deviating sensor and its signal propagation time, improving disturbance analysis.
Area of Science:
- Process Engineering and Control
- Data Science and Machine Learning
- Industrial Monitoring and Diagnostics
Background:
- Modern industrial plants generate vast amounts of multi-sensor data at high frequencies.
- Variable transport and residence time delays in sensor data complicate accurate disturbance analysis.
- Existing methods struggle to precisely identify the origin and propagation time of process disturbances.
Purpose of the Study:
- To develop and validate a novel method for identifying the origin of process disturbances using historical sensor data.
- To accurately quantify the time delay for disturbances to propagate through industrial systems.
- To improve the reliability of disturbance detection by reducing false links compared to traditional methods.
Main Methods:
- Application of lag-specific transfer entropy (LSTE) to analyze multi-sensor time-series data.
- Inclusion of a self-prediction optimization step to remove self-information from sensor data.
- Benchmarking LSTE on diverse industrial case studies: a nonlinear simulation, the Tennessee Eastman plant, a three-phase separator, and a blast furnace.
Main Results:
- LSTE successfully identified the initial sensor deviating from normal operation in all tested scenarios.
- The method accurately reported the propagation times of disturbances, aligning with known process physics.
- LSTE demonstrated a significant reduction in false causal links compared to classical transfer entropy.
Conclusions:
- Lag-specific transfer entropy is an effective tool for pinpointing disturbance origins and quantifying propagation delays in complex industrial processes.
- The self-prediction optimization enhances the accuracy and reliability of transfer entropy for industrial sensor data analysis.
- LSTE offers a robust advancement for real-time monitoring, fault detection, and process optimization in industrial settings.
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