On the Inductive Coupling Between Two Parallel Thin-Wire Circular Loop Antennas

Parise, Mauro; Antonini, Giulio

doi:10.1109/temc.2018.2790265

Cited by 16 publications

(19 citation statements)

References 27 publications

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“…The widespread interest in solving this problem responds to the need for strengthening or nullifying the magnetic coupling between any pair of coils that constitute the considered coil system, depending on the application. For instance, enhancement of magnetic coupling between a transmitting coil and a receiving coil is required in wireless power transfer systems, every time that the transmission efficiency of the inductive link must be optimized [1][2][3]30]. On the other hand, reduction of magnetic coupling effects is desired in applications like magnetic resonance imaging (MRI), where multiple receiving coils are located in close proximity to each other to assure compact coverage of an area and obtain high signal-to-noise ratio images [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…Yet, these solutions either consists of integral expressions that require intensive and time-demanding numerical evaluation [4,5,26], or are valid in the quasi-static frequency range only [7,35,36] and cannot be used when the effects of the displacement currents are not negligible. This may be the case, for instance, of applications where the operating frequency exceeds a few tens of MHz, like magnetic resonance imaging [1,2] and shortwave inductive diathermy for therapeutic heating of tissues [30,[32][33][34]37]. Here, the overall size of the whole two-coil system may not be sufficiently small for electromagnetic retardation to have negligible impact on the field distribution, and the quasi-static field assumption fails.…”

Section: Introductionmentioning

confidence: 99%

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On the Mutual Inductance Between Non-Coaxial Coplanar Circular Loops

Salis¹,

Muzi²

2019

PIER Letters

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A simple and efficient explicit solution is derived for the mutual inductance of two noncoaxial coplanar circular loops, which is valid in the quasi-static as well as non-quasi-static frequency ranges. The solution is obtained by rigorously evaluating the Sommerfeld Integral describing the inductance, starting from expanding the integrand into a power series of the loop radius. As a result, a sum of simpler integrals is obtained, and term-by-term analytical integration is straightforwardly performed. The inductance is finally expressed as a series of spherical Hankel functions, with algebraic coefficients depending on the electrical size of the loops. Conducted numerical tests lead to conclude that, accuracy being equal, the proposed expression offers advantages in terms of time cost over conventional numerical integration techniques.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Mutual Inductance Between Non-Coaxial Coplanar Circular Loops

Salis¹,

Muzi²

2019

PIER Letters

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“…Yet, in spite of the geometrical simplicity, rigorous explicit closed-form expressions describing the inductance of a pancake coil still are not available. In fact, previously published solutions to this problem are in integral form [24], not completely analytical [26,[30][31][32], or tailored to special cases [7,28]. These features make their use impractical.…”

Section: Introductionmentioning

confidence: 99%

“…Finally, explicit analytical solutions tailored to special cases can be used only for specific coil configurations. Excellent illustrations of such solutions are the expressions derived in [7,28], which are valid only for single-turn coils.…”

Section: Introductionmentioning

confidence: 99%

An Accurate Explicit Expression for the Self Inductance of Thin-Wire Round Pancake Coils

Paola¹

2019

PIER Letters

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This paper presents an accurate analytical explicit expression for the self-inductance of a flat pancake round coil made up of concentric turns. The expression is obtained by converting the semi-infinite integral representation for the mutual inductance between two arbitrary turns of the coil into a finite integral, and then by expanding the integrand into a series of Legendre polynomials. As a result, a sum of simpler integrals is obtained, whose analytical evaluation is straightforward. The self inductance is finally expressed as the sum of logarithmic functions, describing the contributions from the self-inductances of the single turns, plus the mutual-inductance terms originating from all the possible pairs of turns of the coil, each one given by a power series of the ratio between the radii of the turns. Numerical simulations are performed to illustrate the advantages of the proposed solution.

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“…Generally, wireless power transfer in the near-field can be categorized into inductive WPT (IWPT), magnetic resonant coupling WPT (MRC-WPT) and radio wave [1]. Compared with the other two types of technology, inductive WPT has been maturely developed and utilized in many real applications [2,3]. Since the inspiring work of Massachusetts Institute of Technology has been published in 2007, an increasing amount of research has been conducted on wireless power transfer via magnetic resonant coupling (MRC-WPT) due to its characteristics of long transfer distance, high transmission efficiency and great convenience [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Study of Load Characteristics in Wireless Power Transfer System With Ferrite Core

Wang¹,

Feng²,

Shen³

et al. 2018

PIER M

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For wireless power transfer via magnetic resonant coupling (MRC-WPT), magnetic coupling between resonant coils can be greatly enhanced when a ferrite core is introduced inside the coils. Based on the equivalent circuit model of wireless power transfer system, transfer characteristics of the MRC-WPT system with air resonant coils and with a ferrite core are respectively analyzed in this paper. The influence mechanism of the load on the power transfer efficiency is investigated. Also, the requirement of load for improving transfer efficiency is derived when adding the ferrite core to the system. The numerical simulation and experiment result indicate that the transmission efficiency in the MRC-WPT system with ferrite core is higher than that in the counterpart with air resonant coils in the whole transfer region when the load is larger than the maximal critical load. In addition, for different transfer distances, the system efficiency for the system using the ferrite core tends to become lower than that in the air coil system when the load is smaller than the critical load.

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On the Inductive Coupling Between Two Parallel Thin-Wire Circular Loop Antennas

Cited by 16 publications

References 27 publications

On the Mutual Inductance Between Non-Coaxial Coplanar Circular Loops

On the Mutual Inductance Between Non-Coaxial Coplanar Circular Loops

An Accurate Explicit Expression for the Self Inductance of Thin-Wire Round Pancake Coils

Study of Load Characteristics in Wireless Power Transfer System With Ferrite Core

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