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Meander coil is an important kind of coil configuration used in eddy current testing and electromagnetic acoustic testing. Owing to lack of analytical calculation formulas of impedance and magnetic field for meander coil, the analytical modeling is performed and a method of calculating pulsed response is presented. In terms of the general model for eddy current testing and electromagnetic acoustic testing, the calculation of impedance and pulsed magnetic field is transformed into the superposition of impedance and pulsed magnetic field of single rectangular coils. Based on the second order vector potential and the time harmonic magnetic field equations, the scalar potential analytical expressions of the meander coil are derived. Then the analytical expressions of magnetic flux in all solution area and eddy current in the specimen are obtained. By calculating the induction electric potential and the impedance change, the impedance analytical expression of the rectangular meander coil is derived. An FFT-IFFT method is used to calculate the time domain response to pulsed magnetic field. A model with an 8-meander double-layer double-bundle coil above an aluminium plate is used in calculation, and the results are in good agreement with the experimental result and the TSFEM calculation result, which verifies the analytical model and the accuracy of the calculation method. The analytical calculation largely shortens the calculation time compared with that by TSFEM method.
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Keywords:
- nondestructive testing /
- meander coil /
- second order potential /
- analytical modelling
[1] Wong B S, Guan, T C 2004 J. Adv. Mater. 36 3
[2] Pickett C A, Koerner D W, Deeds W E, Dodd C V 1988 Rev. Prog. Quan. Nond. Evalu. 7 B 1695
[3] Al-Qahtani H, Beuker T, Damaschke J 2008 Glob.Pipel. Mon. 4
[4] Sebko V P, Suchkov G M, Malakhov A V 2004 Defektoskopiya 7 17
[5] Thompson R B 1979 Appl. Phys. Lett. 34 175
[6] Wakiwaka H, Nishizawa H, Yanase S, Maehara O 1996 IEEE edn. 4332
[7] Yamada S, Fujiki H, Iwahara M, Mukhopadhyay S C Dawson F P 1997 IEEE Trans. Magn. 33 3376
[8] Mizuno S, Yamada, S, Iwahara, M 2003 J. Magn. Soc. 27 397
[9] Li Y, Theodoulidis T, Tian G Y 2007 IEEE Trans. Magn. 43 4010
[10] Theodoulidis T P, Kriezis E E 2002 NDT & E Int. 35 407
[11] Fava J O, Ruch M C 2006 NDT & E Int. 39 414
[12] Fan M B, Huang P J, Ye B 2009 Acta Phys. Sin.58 5950(in Chinese)[范孟豹、黄平捷、叶 波 2009 58 5950]
[13] Tsuboi H,Seshima N, Sebestyén I, Pávó J, Gyimóthy S, Gasparics A 2004 IEEE Trans. Magn. 40 1330
[14] Liang Z W, Sun H L, Wang Z J, Xu J, Xu Y M. 2008 Acta Phys. Sin. 57 4292 (in Chinese)[梁志伟、孙海龙、王之江、徐 杰、徐跃民 2008 57 4292]
[15] Ludwig R, Dai X W 1991 J. Appl. Phys. 69 89
[16] Dhayalan R, Balasubramaniam K, Krishnamurthy C V 2010 (American Institute of Physics, edn.) 972
[17] Hussein A M 1991 IEEE Trans. Magn. 27 4258
[18] Dodd C V, Deeds W E 1968 J. Appl. Phys. 36 2829
[19] Yong L, Tian G Y, Anthony S 2008 NDT & E Int. 41 477
[20] Xie L, Lei Y Z 2006 Acta Phys. Sin. 55 4397 (in Chinese) [谢 莉、雷银照 2006 55 4397]
[21] Smythe W R 1989 Static and dynamic electricity(3rd ed) (New York: McGraw-Hill) p329
[22] Comsol multiphysics 3.5 2007 User guide and modelling library
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[1] Wong B S, Guan, T C 2004 J. Adv. Mater. 36 3
[2] Pickett C A, Koerner D W, Deeds W E, Dodd C V 1988 Rev. Prog. Quan. Nond. Evalu. 7 B 1695
[3] Al-Qahtani H, Beuker T, Damaschke J 2008 Glob.Pipel. Mon. 4
[4] Sebko V P, Suchkov G M, Malakhov A V 2004 Defektoskopiya 7 17
[5] Thompson R B 1979 Appl. Phys. Lett. 34 175
[6] Wakiwaka H, Nishizawa H, Yanase S, Maehara O 1996 IEEE edn. 4332
[7] Yamada S, Fujiki H, Iwahara M, Mukhopadhyay S C Dawson F P 1997 IEEE Trans. Magn. 33 3376
[8] Mizuno S, Yamada, S, Iwahara, M 2003 J. Magn. Soc. 27 397
[9] Li Y, Theodoulidis T, Tian G Y 2007 IEEE Trans. Magn. 43 4010
[10] Theodoulidis T P, Kriezis E E 2002 NDT & E Int. 35 407
[11] Fava J O, Ruch M C 2006 NDT & E Int. 39 414
[12] Fan M B, Huang P J, Ye B 2009 Acta Phys. Sin.58 5950(in Chinese)[范孟豹、黄平捷、叶 波 2009 58 5950]
[13] Tsuboi H,Seshima N, Sebestyén I, Pávó J, Gyimóthy S, Gasparics A 2004 IEEE Trans. Magn. 40 1330
[14] Liang Z W, Sun H L, Wang Z J, Xu J, Xu Y M. 2008 Acta Phys. Sin. 57 4292 (in Chinese)[梁志伟、孙海龙、王之江、徐 杰、徐跃民 2008 57 4292]
[15] Ludwig R, Dai X W 1991 J. Appl. Phys. 69 89
[16] Dhayalan R, Balasubramaniam K, Krishnamurthy C V 2010 (American Institute of Physics, edn.) 972
[17] Hussein A M 1991 IEEE Trans. Magn. 27 4258
[18] Dodd C V, Deeds W E 1968 J. Appl. Phys. 36 2829
[19] Yong L, Tian G Y, Anthony S 2008 NDT & E Int. 41 477
[20] Xie L, Lei Y Z 2006 Acta Phys. Sin. 55 4397 (in Chinese) [谢 莉、雷银照 2006 55 4397]
[21] Smythe W R 1989 Static and dynamic electricity(3rd ed) (New York: McGraw-Hill) p329
[22] Comsol multiphysics 3.5 2007 User guide and modelling library
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