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Information Entropy of Angular Spectrum for Quantitatively Evaluating Eddy Current Distribution Varying in Time Domain

基于角度谱信息熵的时域变化涡流分布定量评价

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Abstract

Eddy current (EC) distribution induced by EC sensors determines the interaction between the defect in the testing specimen and the EC, so quantitatively evaluating EC distribution is crucial to the design of EC sensors. In this study, two indices based on the information entropy are proposed to evaluate the EC energy allocated in different directions. The EC vectors induced by a rotational field EC sensor varying in the time domain are evaluated by the proposed methods. Then, the evaluating results are analyzed by the principle of EC testing. It can be concluded that the two indices can effectively quantitatively evaluate the EC distributions varying in the time domain and are used to optimize the parameters of the rotational EC sensors.

摘要

涡流传感器感应的涡流分布决定了检测试样中缺陷与涡流之间的相互作用, 因此定量评估涡流分布对于设计涡流传感器至关重要. 本研究提出了两个基于信息熵的指标来评估不同方向上分配的涡流能量. 通过所提出方法评估了时域变化旋转场涡流传感器感应的涡流向量. 然后, 通过涡流检测原理对评估结果进行了分析. 结果表明, 这两个指标可以有效地定量评估时域变化的涡流分布, 并将用于旋转涡流传感器参数的优化.

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References

  1. ZHANG W P, WANG C L, XIE F Q, et al. Defect imaging curved surface based on flexible eddy current array sensor [J]. Measurement, 2020, 151: 107280.

    Article  Google Scholar 

  2. ZHANG H Y, MA L Y, XIE F Q. A method of steel ball surface quality inspection based on flexible arrayed eddy current sensor [J]. Measurement, 2019, 144: 192–202.

    Article  Google Scholar 

  3. CHEN T, HE Y T, DU J Q. A high-sensitivity flexible eddy current array sensor for crack monitoring of welded structures under varying environment [J]. Sensors, 2018, 18(6): 1780.

    Article  Google Scholar 

  4. DELABRE B, DECITRE J M, LE BIHAN Y. Design of a flexible eddy current probe in view of the evaluation of the electrical conductivity during inspection of defects [J]. Nondestructive Testing and Evaluation, 2017, 32(3): 227–241.

    Article  Google Scholar 

  5. SUN Z G, CAI D, ZOU C, et al. A flexible arrayed eddy current sensor for inspection of hollow axle inner surfaces [J]. Sensors, 2016, 16(7): 952.

    Article  Google Scholar 

  6. XIE R F, CHEN D X, PAN M C, et al. Fatigue crack length sizing using a novel flexible eddy current sensor array [J]. Sensors, 2015, 15(12): 32138–32151.

    Article  Google Scholar 

  7. FAN X H, CHEN T, DU J Q, et al. Methods for improving sensitivity of crack quantitative monitoring of flexible eddy current array sensor [J]. Smart Materials and Structures, 2020, 29(8): 085033.

    Article  Google Scholar 

  8. CHEN G M, LI W, WANG Z X. Structural optimization of 2-D array probe for alternating current field measurement [J]. NDT & E International, 2007, 40(6): 455–461.

    Article  Google Scholar 

  9. XIN J J, LEI N G, UDPA L, et al. Rotating field eddy current probe with bobbin pickup coil for steam generator tubes inspection [J]. NDT & E International, 2013, 54: 45–55.

    Article  Google Scholar 

  10. ROSADO L S, SANTOS T G, RAMOS P M, et al. A new dual driver planar eddy current probe with dynamically controlled induction pattern [J]. NDT & E International, 2015, 70: 29–37.

    Article  Google Scholar 

  11. LIU X C, YANG J M, WU B, et al. A novel generation method of oscillatory rotating eddy current for crack orientation determination and detection in metal plates [J]. NDT & E International, 2018, 97: 1–10.

    Article  Google Scholar 

  12. CHEN G L, ZHANG W M, JIN W Y, et al. A novel rotational field eddy current planar probe with two-circular sector pickup coils [J]. Sensors, 2019, 19(21): 4628.

    Article  Google Scholar 

  13. CHEN G L, ZHANG W M, PANG W H. Koch curve fractal geometry excitation probe for eddy current nondestructive testing [J]. Measurement, 2018, 124: 470–478.

    Article  Google Scholar 

  14. ZHANG W M, CHEN G L, PANG W H. Shannon information entropy of eddy current density distribution [J]. Nondestructive Testing and Evaluation, 2017, 32(2): 152–165.

    Article  Google Scholar 

  15. LI J H, CHEN G L, ZHANG W M, et al. The interaction efficiency evaluation between defect and eddy current induced by different exciting coils of planar eddy current probe [J]. Measurement and Control, 2020, 53(5/6): 1031–1037.

    Article  Google Scholar 

  16. CHEN G L. Two novel information entropy indices for analysis of the eddy current distribution [J]. Entropy, 2018, 20(9): 699.

    Article  Google Scholar 

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Correspondence to Guolong Chen  (陈国龙).

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Foundation item: the National Natural Science Foundation of China (No. 51807086), the Young Doctoral Fund of Education Department of Gansu Province (No. 2021QB-047), and the Hongliu Youth Fund of Lanzhou University of Technology (No. 07/062003)

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Chen, G., Wang, K., Cao, Z. et al. Information Entropy of Angular Spectrum for Quantitatively Evaluating Eddy Current Distribution Varying in Time Domain. J. Shanghai Jiaotong Univ. (Sci.) 28, 587–595 (2023). https://doi.org/10.1007/s12204-022-2475-9

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  • DOI: https://doi.org/10.1007/s12204-022-2475-9

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