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Chin. Phys. B, 2015, Vol. 24(3): 030301    DOI: 10.1088/1674-1056/24/3/030301
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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:

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

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