Abstract

Owing to expensive cost and restricted structure, limited sensors are allowed to install in modern systems to monitor the working state, which can improve their availability. Therefore, an effective sensor placement method is presented based on a VIKOR algorithm considering common cause failure (CCF) under epistemic uncertainty in this paper. Specifically, a dynamic fault tree (DFT) is developed to build a fault model to simulate dynamic fault behaviors and some reliability indices are calculated using a dynamic evidence network (DEN). Furthermore, a VIKOR method is proposed to choose the possible sensor locations based on these indices. Besides, a sensor model is introduced by using a priority AND gate (PAND) to describe the failure sequence between a sensor and a component. All placement schemes can be enumerated when the number of sensors is given, and the largest system reliability is the best alternative among the placement schemes. Finally, a case study shows that CCF has some influence on sensor placement and cannot be neglected in the reliabilitybased sensor placement.

Highlights

  • Driven by the support from modern technology, industrial production systems are seeing more synthesized and intelligent mechanical equipment

  • This paper proposes a new effective sensor placement method to improve the effectiveness of sensor placement based upon the reliability criterion considering common cause failure (CCF) problem and epistemic uncertainty shown as Fig. 1

  • This paper proposes an effective sensor placement method based on the reliability criterion in the presence of epistemic uncertainty

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Summary

Introduction

Driven by the support from modern technology, industrial production systems are seeing more synthesized and intelligent mechanical equipment. In reference [27], from the perspective of system fault diagnosis, a PAND gate is used to establish the sensor model and importance parameters of components are calculated to determine the potential sensor locations. The reliable and precise placement can be made by comprehensively considering multidimensional information For this reason, in reference [28], a combination criterion based on the sensor failure risk and uncertainty of sensor information is developed to determine the effective placement of sensors, providing decision support for system health monitoring. This paper proposes a new effective sensor placement method to improve the effectiveness of sensor placement based upon the reliability criterion considering CCF problem and epistemic uncertainty shown as Fig. 1.

Reliability analysis based on DEN considering CCF
Solution for DFT based on DEN under epistemic uncertainty
Conversion of DFT into DEN
DEN model considering CCF
Calculating reliability results
Constructing the decision matrix
Determining the possible locations of sensors using a VIKOR method
Sensor model
Determining the optimal sensor placement scheme
A case study
D2 D3 D4 D5 D6 D7 D8 D9 X19 X20 X21
Conclusion
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