Model of Ferrite-cored Driver-pickup Coil Probe Application of TREE Method for Eddy Current Nondestructive Evaluation

Authors

  • Siquan Zhang Department of Electrical and Automation Shanghai Maritime University, Shanghai 201306, China
  • Chengkai Ye Department of Electrical and Automation Shanghai Maritime University, Shanghai 201306, China

DOI:

https://doi.org/10.13052/2022.ACES.J.370513

Keywords:

Eddy current testing, ferrite cored driver-pickup probe, induced voltage, magnetic vector potential, truncated region eigenfunction expansion method

Abstract

An analytical model of a driver-pickup coil probe, consists of a cylindrical ferrite core, located above a layered conductor is presented. The truncated region eigenfunction expansion (TREE) method is used and the solution region is truncated with a certain radius around markedasmathitalicz axis. First, the magnetic vector potential of each region of filamentary coil problem is derived and solved with variables separation method using boundary and interface conditions, and then the rectangular cross-section coil problem is solved with superposition method. The expression of induced voltage in pickup coil is obtained and can be calculated with software such as Matlab or Mathematica. Using the proposed analytical model, the influence of the excitation frequency and excitation current in the driver coil on the responses of the pickup coil is examined. Experiments are performed, and the changes of voltage induced in the pickup coil due to the conductor are measured at different excitation frequencies and excitation currents. The analytical calculation results agree with the experimental results very well, verifying the correctness of the proposed analyticalmodel.

Downloads

Download data is not yet available.

Author Biographies

Siquan Zhang, Department of Electrical and Automation Shanghai Maritime University, Shanghai 201306, China

Siquan Zhang received the Ph.D. degree in Material Processing Engineering from the South China University of Technology, Guangzhou, China. His current research interests include eddy current testing, analytical model in Non-destructive testing.

Chengkai Ye, Department of Electrical and Automation Shanghai Maritime University, Shanghai 201306, China

Chengkai Ye received the B.S. degree from Shanghai Maritime University. He is currently working towards the M.S. degree in Control Theory and Control Engineering. His current research interests include eddy current testing and the application of finite element method in NDT.

References

G. Tytko and L. Dziczkowski, “Fast calculation of the filamentary coil impedance using the truncated region eigenfunction expansion method,” The Applied Computational Electromagnetics Society (ACES) Journal, vol. 33, no. 12, pp. 1461-1466, 2018.

T. Theodoulidis and J. R. Bowler, “Impedance of a coil at an arbitrary position and orientation inside a conductive borehole or tube,” IEEE Trans. Magnetics, vol. 51, no. 4, pp. 1-6, 2015.

C. V. Dodd and W. E. Deeds, “Analytical solutions to eddy-current probe-coil problems,” J. Appl. Phys., vol. 39, no. 6, pp. 2829-2838,1968.

T. P. Theodoulidis and J. R. Bowler, “Bobbin coil signal variation due to an axisymmetric circumferential groove in a tube,” AIP Conf. Proc., vol. 1096, no. 1, pp. 1922-1929, 2009.

S. R. Luis, G. S. Telmo, M. R. Pedro, V. Pedro, and M. Piedade, “A differential planar eddy currents probe: Fundamentals, modeling and experimental evaluation,” NDT E Int., vol. 51, pp. 85-93, 2012.

T. P. Theodoulidis, “Developments in calculating the transient eddy-current response from a conductive plate,” IEEE Trans. Magnetics, vol. 44, no. 7, pp. 1894-1896, 2008.

H. Huang and T. Takagi, “Inverse analyses for natural and multicracks using signals from a differential transmit-receive ECT probe,” IEEE Trans. Magnetics, vol. 38, no. 2, pp. 1009-1012, 2002.

S. Zhang and N. Ida, “Analytical calculation of induced voltages of uniform eddy current probes above a moving conductor,” Lecture Notes Electr. Eng., vol. 506, pp. 177-193, 2019.

S. K. Burke and M. E. Ibrahim, “Mutual impedance of air-cored coils above a conducting plate,” J. Phys. D: Appl. Phys., vol. 37, no. 13, pp. 1857-1868, 2004.

D. R. Desjardins, T. W. Krause, A. Tetervak, and L. Clapham, “Concerning the derivation of exact solutions to inductive circuit problems for eddy current testing,” NDT E Int., vol. 68, pp. 128-135,2014.

D. R. Desjardins, L. Clapham, and T. W. Krause, “Transient response of a driver-pickup coil probe in transient eddy current testing,” NDT E Int., vol. 75, pp. 8-14, 2015.

S. Zhang, “An analytical model of a new T-cored coil used for eddy current nondestructive evaluation,” The Applied Computational Electromagnetics Society (ACES) Journal, vol. 35, no. 9, pp. 1099-1104, 2020.

T. P. Theodoulidis, “Model of ferrite-cored probes for eddy current nondestructive evaluation,” J. Appl. Phys., vol. 93, no. 5, pp. 3071-3078,2003.

S. Zhang, “Analytical model of an I-core coil for nondestructive evaluation of a conducting cylinder below an infinite plane conductor,” Meas. Sci. Rev., vol. 21, no. 4, pp. 99-105, 2021.

S. Zhang, “Analytical model of a T-core coil above a multi-layer conductor with hidden hole using the TREE method for nondestructive evaluation,” COMPEL - Int. J. Comput. Math. Electr. Electron. Eng., vol. 40, no. 6, pp. 1104-1117,2021.

G. Tytko and L. Dziczkowski, “E-cored coil with a circular air gap inside the core column used in eddy current testing,” IEEE Trans. Magnetics, vol. 51, no. 9, pp. 1-4, 2015.

B. Wincheski, J. P. Fulton, S. Nath, M. Namkung, and J. W. Simpson, “Self-nulling eddy current probe for surface and subsurface flaw detection,” Mater. Eval., vol. 52, no. 1, pp. 22-26,1994.

F. Jiang and S. Liu, “Calculation and analysis of an analytical model for magnetic field monitoring based on TREE in eddy current testing,” The Applied Computational Electromagnetics Society (ACES) Journal, vol. 33, no. 12, pp. 1489-1497, 2018.

T. P. Theodoulidis and E. E. Kriezis, “Series expansions in eddy current nondestructive evaluation models,” J. Mater. Process. Technol., vol. 161, no. 1-2, pp. 343-347, 2005.

F. Sakkaki and H. Bayani, “Solution to the problem of E-cored coil above a layered half-space using the method of truncated region eigenfunction expansion,” J. Appl. Phys., vol. 111, no. 7, pp. 2829-2864, 2012.

Downloads

Published

2022-11-14

How to Cite

[1]
S. . Zhang and C. . Ye, “Model of Ferrite-cored Driver-pickup Coil Probe Application of TREE Method for Eddy Current Nondestructive Evaluation”, ACES Journal, vol. 37, no. 05, pp. 632–638, Nov. 2022.