Analysis of inductance calculation of coaxial circular filamentary coils, thin‐wall solenoids, and disk coils using inverse hyperbolic functions

Liang, Sizhuang

doi:10.1049/iet-smt.2016.0077

Cited by 5 publications

(2 citation statements)

References 9 publications

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“…Article [29] uses inverse hyperbolic functions to calculate the mutual and self-inductances of coaxial circular filamentary coils, thin-wall solenoids, and disk coils. This article does not present its own experimental research but uses measurement results carried out by other researchers and compares the obtained results with many benchmark problems.…”

Section: Principles For Calculating the Mutual And Self-inductances O...mentioning

confidence: 99%

Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils

Palka

2024

Energies

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This paper deals with a method of calculating the mutual and self-inductances of various air coils located arbitrarily in space. Known elementary solutions (the Biot–Savart formulas) were used to determine the magnetic field of infinitely thin current loops and infinitely thin wires of finite length magnetically linking other coils. Unlike commonly used algorithms, these elementary solutions were not extensively transformed analytically but were used to perform calculations via direct numerical integration. This enabled the very quick and accurate obtaining of the self-inductance values, as well as determining the dependence of mutual inductances on the positions of both coils. This method allows for the analysis of different coil configurations (misaligned coils, inclined to each other, etc.) that other methods do not cover. It also enables the determination of the forces acting on the coils, as well as the calculation of the magnetic field distribution from any coil configuration. The obtained results were compared with those presented by other authors (both computational and measurement results).

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Section: Principles For Calculating the Mutual And Self-inductances O...mentioning

confidence: 99%

Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils

Palka

2024

Energies

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“…In non-destructive testing, the inspection of materials is usually carried out with the employment of probes containing coils. The probe in the form of filamentary coil [7][8][9][10], rectangular coil [11,12], aircored coil [13][14][15][16][17][18], I-cored coil [19][20][21][22] and iron core coil [23] were studied. In eddy current testing, pot core probes are very frequently utilized [24,25].…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Tytko

2020

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Pot-cored coils are commonly used as probes in eddy current testing. In this paper, an analytical model of such a coil placed over a three-layer plate with a hole has been presented. The proposed solution enables the modelling of both magnetic and non-magnetic conductive plates that contain different types of hole, i.e. a through, a surface, an inner or a subsurface hole. The problem was solved by using the truncated region eigenfunction expansion (TREE) method. The analysis was carried out in a cylindrical coordinate system in which the solution domain was radially limited. With the employment of the filamentary coil, the expressions for the magnetic vector potential, and subsequently for the impedance of the cylindrical coil were obtained. The final formulas were presented in a closed form and then implemented in Matlab. The resistance and reactance values were compared with the results obtained in the experiment and using the finite element method in the Comsol Multiphysics package. In each of the cases, good agreement was obtained.

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Cross Interference Free Dual Frequency Wireless Power Transfer Using Frequency Bifurcation for Dynamic Biomedical Implants

Narayanamoorthi

2021

IEEE Trans. Electromagn. Compat.

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Analysis of inductance calculation of coaxial circular filamentary coils, thin‐wall solenoids, and disk coils using inverse hyperbolic functions

Cited by 5 publications

References 9 publications

Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils

Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils

Bulletin of the Polish Academy of Sciences: Technical Sciences

Cross Interference Free Dual Frequency Wireless Power Transfer Using Frequency Bifurcation for Dynamic Biomedical Implants

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