Effects of 3D Eddy Current Finite Element Formulations on ECT Signals

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To obtain the simulated eddy current testing (ECT) signals of steam generator (SG) in nuclear power plant (NPP), nodal-based finite element (FE) analysis with magnetic vector potential (MVP) is usually used. To perform the numerical analysis, we derive the governing equation in terms of MVP and electric scalar potential (ESP) from Maxwell’s equations. To insure the uniqueness of solution, gauge condition has to be considered. In eddy current problems, Coulomb gauge condition (CGC) is usually used. In 2-D or 3-D axis-symmetric analysis, CGC is included during formulation and ESP is eliminated using some special assumption. Because CGC is not used during the formulation in 3-D analysis, we have to include artificially. And because of the heavy computation cost for 3-D analysis modified magnetic vector potential (MMVP) is used by elimination ESP. In this paper, effects of artificial treatment of CGC and elimination of ESP on ECT signal are investigated in order to help for obtaining accurate numerical simulation results.

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Key Engineering Materials (Volumes 321-323)

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464-467

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October 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] C. R. I. Emson and J. Somkin, An optimal method for 3-D eddy currents, IEEE Trans. on Mag., Vol. 19 (1983), No. 6.

Google Scholar

[2] C. F. Bryant, C. R. I. Emson and C. W. Trowbridge, A comparison of Lorentz gauge formulations in eddy current computations, IEEE Trans. on Mag., Vol. 26 (1990), No. 2.

DOI: 10.1109/20.106345

Google Scholar

[3] O. Biro and K. Preis, On the use of the magnetic vector potential in the finite element analysis of three-dimensional eddy currents, IEEE Trans. on Mag., Vol. 25 (1989), No. 4, pp.3145-3159.

DOI: 10.1109/20.34388

Google Scholar

[4] David K. Cheng, Fundamentals of engineering electromagnetics, Prentice Hall (1992).

Google Scholar

[5] N. N. Rao, Elements of engineering electromagnetics, 5th ed., Prentice Hall, (1999). -5.

Google Scholar

[5] -5.

Google Scholar

[5] [0] 2000 4000 6000 8000 10000 12000 X [mm] Y [mm] Difference Impedance [Ohm] -5.

Google Scholar

[5] -5.

Google Scholar

[5] [0] 1000 2000 3000 4000 5000 X [mm] Y [mm] Difference Impedance [Ohm] -5.

Google Scholar

[5] -5.

Google Scholar

[5] [0] 5000 10000 15000 X [mm] Y [mm] Difference Impedance [Ohm] -5.

Google Scholar

[5] -5.

Google Scholar

[5] [0] 5000 10000 15000 X [mm] Y [mm] Difference Impedance [Ohm].

Google Scholar