Equivalent Circuit Representation of Eddy-current Field

2017 ◽  
Vol 137 (8) ◽  
pp. 534-537 ◽  
Author(s):  
Yuji SHINDO
Keyword(s):  
Equivalent Circuit ◽  
Eddy Current ◽  
Current Field ◽  
Circuit Representation

Equivalent Circuit in Cauer Form for Eddy Current Field Including a Translational Mover

2020 ◽  
Vol 56 (12) ◽  
pp. 1-7
Author(s):  
Yuji Shindo ◽  
Ryoma Yamamoto ◽  
Kengo Sugahara ◽  
Tetsuji Matsuo ◽  
Akihisa Kameari
Keyword(s):  
Equivalent Circuit ◽  
Eddy Current ◽  
Current Field

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.

Equivalent circuit model of eddy current damping regarding frequency-dependence with test validation

2021 ◽  
pp. 136943322110509
Author(s):  
Zhiguo Shi ◽  
Cheng Ning Loong ◽  
Jiazeng Shan
Keyword(s):  
Equivalent Circuit ◽  
Eddy Current ◽  
Dynamic Testing ◽  
Equivalent Circuit Model ◽  
Time History ◽  
Circuit Model ◽  
Theoretical Expression ◽  
Fe Model ◽  
Damping Force ◽  
Proposed Model

This study proposes an equivalent circuit model to simulate the mechanical behavior and frequency-dependent characteristic of eddy current (EC) damping, with the validations from multi-physics finite element (FE) modeling and dynamic testing. The equivalent circuit model is first presented with a theoretical expression of the EC damping force. Then, the transient analysis with an ANSYS-based FE model of an EC damper is performed. The time-history forces from the FE model are compared with that from the proposed equivalent circuit model. The favorable agreement indicates that the proposed model can simulate the nonlinear behavior of EC damping under different excitation scenarios. A noncontact and friction-free planar EC damper is designed, and its dynamic behavior is measured by employing shake table testing. The experimental observations can be reproduced by the proposed equivalent circuit model with reasonable accuracy and reliability. The proposed equivalent circuit model is compared with the classical viscous model and the higher-order fractional model using a complex EC damper simulated in ANSYS to show the advantages of the proposed model regarding model simplicity and prediction accuracy. A single-degree-of-freedom (SDOF) structure with different EC damping models is further analyzed to illustrate the need for accurate EC damping modeling.

Equivalent circuit representation of lossy coplanar waveguides

1992 ◽  
Vol 47 (11-12) ◽  
pp. 551-554
Author(s):  
F. Bouzidi ◽  
H. Aubert ◽  
D. Bajon ◽  
H. Baudrand ◽  
V. Fouad Hanna
Keyword(s):  
Equivalent Circuit ◽  
Coplanar Waveguides ◽  
Circuit Representation
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