scholarly journals Analytical solution for the effect of the permittivity of coating layer on eddy current generated in an aluminum sample by EMAT

2016 ◽  
Author(s):  
Feiran Sun ◽  
Zhenguo Sun ◽  
Qiang Chen
Keyword(s):  
Analytical Solution ◽  
Eddy Current ◽  
Coating Layer ◽  
Aluminum Sample

Analytical solution for magnetic field of cylindrical defect in eddy current nondestructive testing

2019 ◽  
Vol 95 (1) ◽  
pp. 015501 ◽  
Author(s):  
Yating Yu ◽  
Kuanhou Gao ◽  
Theodoros Theodoulidis ◽  
Fei Yuan
Keyword(s):  
Magnetic Field ◽  
Analytical Solution ◽  
Nondestructive Testing ◽  
Eddy Current

Efficient circuit representation of eddy-current fields

2017 ◽  
Vol 36 (5) ◽  
pp. 1457-1473 ◽  
Author(s):  
Yuji Shindo ◽  
Akihisa Kameari ◽  
Tetsuji Matsuo
Keyword(s):  
Analytical Solution ◽  
Orthogonal Polynomial ◽  
Eddy Current ◽  
Continued Fraction ◽  
Wide Frequency Range ◽  
Orthogonal Expansion ◽  
Current Field ◽  
Circuit Realization ◽  
Content Type ◽  
Circuit Representation

Purpose This paper aims to discuss the relationship between the continued fraction form of the analytical solution in the frequency domain, the orthogonal function expansion and their circuit realization to derive an efficient representation of the eddy-current field in the conducting sheet and wire/cylinder. Effective frequency ranges of representations are analytically derived. Design/methodology/approach The Cauer circuit representation is derived from the continued fraction form of analytical solution and from the orthogonal polynomial expansion. Simple circuit calculations give the upper frequency bounds where the truncated circuit and orthogonal expansion are applicable. Findings The Cauer circuit representation and the orthogonal polynomial expansions for the magnetic sheet in the E-mode and for the wire in the axial H-mode are derived. The upper frequency bound for the Cauer circuit is roughly proportional to N4 with N inductive elements, whereas the frequency bound for the finite element eddy-current analysis with uniform N elements is roughly proportional to N2. Practical implications The Cauer circuit representation is expected to provide an efficient homogenization method because it requires only several elements to describe the eddy-current field over a wide frequency range. Originality/value The applicable frequency ranges are analytically derived depending on the conductor geometry and on the truncation types.

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