Please wait a minute...
Chin. Phys. B, 2015, Vol. 24(3): 030301    DOI: 10.1088/1674-1056/24/3/030301
GENERAL Prev   Next  

Inverse problem of pulsed eddy current field of ferromagnetic plates

Chen Xing-Le (陈兴乐), Lei Yin-Zhao (雷银照)
School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
Abstract  To determine the wall thickness, conductivity and permeability of a ferromagnetic plate, an inverse problem is established with measured values and calculated values of time-domain induced voltage in pulsed eddy current testing on the plate. From time-domain analytical expressions of the partial derivatives of induced voltage with respect to parameters, it is deduced that the partial derivatives are approximately linearly dependent. Then the constraints of these parameters are obtained by solving a partial linear differential equation. It is indicated that only the product of conductivity and wall thickness, and the product of relative permeability and wall thickness can be determined accurately through the inverse problem with time-domain induced voltage. In the practical testing, supposing the conductivity of the ferromagnetic plate under test is a fixed value, and then the relative variation of wall thickness between two testing points can be calculated via the ratio of the corresponding inversion results of the product of conductivity and wall thickness. Finally, this method for wall thickness measurement is verified by the experiment results of a carbon steel plate.
Keywords:  pulsed eddy current electromagnetic field      inverse problem      ferromagnetic plate      wall thickness measurement  
Received:  20 September 2014      Revised:  14 October 2014      Accepted manuscript online: 
PACS:  03.50.De (Classical electromagnetism, Maxwell equations)  
  02.30.Zz (Inverse problems)  
  81.70.Ex (Nondestructive testing: electromagnetic testing, eddy-current testing)  
  41.20.-q (Applied classical electromagnetism)  
Fund: Project supported by the National Defense Basic Technology Research Program of China (Grant No. Z132013T001).
Corresponding Authors:  Chen Xing-Le     E-mail:  chenxingle@yeah.net

Cite this article: 

Chen Xing-Le (陈兴乐), Lei Yin-Zhao (雷银照) Inverse problem of pulsed eddy current field of ferromagnetic plates 2015 Chin. Phys. B 24 030301

[1] Robers M A and Scottini R 2002 Pulsed Eddy Current in Corrosion Detection http://www.ndt.net/article/ecndt02/251/251.htm [2014-08-10]
[2] de Haan V O and de Jong P J 2004 Proceedings of the 16th World Conference on Non-destructive Testing, August 30-September 3, 2004, Montreal, Canada, p. 1
[3] Cheng W 2012 J. Nondestr. Eval. 31 215
[4] Xu Y Z, Wu X J, Li J and Kang Y H 2012 NDT&E Int. 51 24
[5] Chen X L and Lei Y Z 2014 NDT&E Int. 66 28
[6] Dodd C V and Deeds W E 1968 J. Appl. Phys. 39 2829
[7] Lei Y Z 2000 Analytical Methods for Tme-harmonic Electromagnetic Fields (Beijing: Science Press) p. 181 (in Chinese)
[8] Theodoulidis T P and Kriezis E E 2004 J. Mater. Process. Technol. 161 343
[9] Theodoulidis T P and Bowler J R 2005 AIP Conf. Proc. 760 403
[10] Theodoulidis T P and Burke S K 2004 Electromagn. Nondestr. Eval. (VIII) 24 11
[11] Burke S K, Ditchburn R J and Theodoulidis T P 2008 J. App. Phys. 104 014912
[12] Xie L and Lei Y Z 2006 Acta Phys. Sin. 55 4397 (in Chinese)
[13] Xie L and Lei Y Z 2007 Chin. Phys. 16 2523
[14] Jaeger J C 1940 Philos. Mag. Ser. 7 29 18
[15] Theodoulidis T 2008 IEEE Trans. Magn. 44 1894
[16] Fan M B, Cao B H and Yang X F 2010 Acta Phys. Sin. 59 7570 (in Chinese)
[17] Xiao C Y and Zhang J 2010 Chin. Phys. B 19 120302
[18] Chen X L and Lei Y Z 2013 Transactions of China Electrotechnical Society 28 1 (in Chinese)
[19] Chen X L and Lei Y Z 2014 NDT&E Int. 68 22
[20] Xin W, Mao X F and Chen X L 2014 Proc. CSEE 34 2004 (in Chinese)
[21] Mao X F and Lei Y Z 2013 NDT&E Int. 60 121
[22] Bronshtein I N, Semendyayev K A, Musiol G and Muehlig H 2007 Handbook of Mathematics (5th edn.) (Berlin: Springer) p. 517
[1] Weighted total variation using split Bregman fast quantitative susceptibility mapping reconstruction method
Lin Chen(陈琳), Zhi-Wei Zheng(郑志伟), Li-Jun Bao(包立君), Jin-Sheng Fang(方金生), Tian-He Yang(杨天和), Shu-Hui Cai(蔡淑惠), Cong-Bo Cai(蔡聪波). Chin. Phys. B, 2018, 27(8): 088701.
[2] Reconstruction of dynamic structures of experimental setups based on measurable experimental data only
Tian-Yu Chen(陈天宇), Yang Chen(陈阳), Hu-Jiang Yang(杨胡江), Jing-Hua Xiao(肖井华), Gang Hu(胡岗). Chin. Phys. B, 2018, 27(3): 030503.
[3] Inverse full state hybrid projective synchronizationfor chaotic maps with different dimensions
Adel Ouannas, Giuseppe Grassi. Chin. Phys. B, 2016, 25(9): 090503.
[4] Apparent directional spectral emissivity determination of semitransparent materials
Chun-Yang Niu(牛春洋), Hong Qi(齐宏), Ya-Tao Ren(任亚涛), Li-Ming Ruan(阮立明). Chin. Phys. B, 2016, 25(4): 047801.
[5] Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation
Yao-Bin Qiao(乔要宾), Hong Qi(齐宏), Fang-Zhou Zhao(赵方舟), Li-Ming Ruan(阮立明). Chin. Phys. B, 2016, 25(12): 120201.
[6] Simultaneous reconstruction of temperature distribution and radiative properties in participating media using a hybrid LSQR–PSO algorithm
Niu Chun-Yang (牛春洋), Qi Hong (齐宏), Huang Xing (黄兴), Ruan Li-Ming (阮立明), Wang Wei (王伟), Tan He-Ping (谈和平). Chin. Phys. B, 2015, 24(11): 114401.
[7] An approach to estimating and extrapolating model error based on inverse problem methods:towards accurate numerical weather prediction
Hu Shu-Juan (胡淑娟), Qiu Chun-Yu (邱春雨), Zhang Li-Yun (张利云), Huang Qi-Can (黄启灿), Yu Hai-Peng (于海鹏), Chou Ji-Fan (丑纪范). Chin. Phys. B, 2014, 23(8): 089201.
[8] Cardiac electrical activity imaging of patients with CRBBB or CLBBB in magnetocardiography
Zhu Jun-Jie (朱俊杰), Jiang Shi-Qin (蒋式勤), Wang Wei-Yuan (王伟远), Zhao Chen (赵晨), Wu Yan-Hua (吴燕华), Luo Ming (罗明), Quan Wei-Wei (权薇薇). Chin. Phys. B, 2014, 23(4): 048702.
[9] A Compton scattering image reconstruction algorithm based on total variation minimization
Li Shou-Peng (李守鹏), Wang Lin-Yuan (王林元), Yan Bin (闫镔), Li Lei (李磊), Liu Yong-Jun (刘拥军). Chin. Phys. B, 2012, 21(10): 108703.
[10] An inverse problem in analytical dynamics
Li Guang-Cheng(李广成) and Mei-Feng-Xiang(梅凤翔). Chin. Phys. B, 2006, 15(8): 1669-1671.
[11] Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints
Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙). Chin. Phys. B, 2002, 11(8): 765-770.
[12] Investigation of titanium nitride coating by broadband laser ultrasonic spectroscopy
Gao Wei-Min (高伟民), Christ Glorieux, Walter Lauriks, Jan Thoen. Chin. Phys. B, 2002, 11(2): 132-138.
No Suggested Reading articles found!