Modeling of Mutual Coupling Between Planar Inductors in Wireless Power Applications

Raju, Salahuddin; Wu, Renbiao; Chan, Mansun; Yue, C. Patrick

doi:10.1109/tpel.2013.2253334

Cited by 287 publications

(137 citation statements)

References 44 publications

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“…For the very special case in which d is very large (d ≫ r 1 , r 2 ), the closed-form formulas for the mutual inductance of a coaxial case were given by [2,7]   …”

Section: Calculation Of Mutual Inductance Andmentioning

confidence: 99%

“…They successfully lit a 60-W bulb at a distance of 7 feet-more than 2 m using helical coils of high Q-factor (= ω 0 L/R). Since then, numerous papers have investigated theoretical [2,3] and practical [4,5] evolutions of WPT systems. The transfer efficiency of WPT systems has been well known to depend on the figure of merit, defined as the product of the Q-factor (the geometric mean of Q 1 and Q 2 ) and the coupling coefficient (k), and the load resistance.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Alternative Expressions for Mutual Inductance and Coupling Coefficient Applied in Wireless Power Transfer

Kim¹,

Lee²

2016

Journal of electromagnetic engineering and science

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Alternative analytic expressions for the mutual inductance (Lm) and coupling coefficient (k) between circular loops are presented using more familiar and convenient expressions that represent the property of reciprocity clearly. In particular, the coupling coefficients are expressed in terms of structural dimensions normalized to a geometric mean of radii of two loops. Based on the presented expressions, various aspects of the mutual inductances and coupling coefficients, including the regions of positive, zero, and negative value, are examined with respect to their impacts on the efficiency of wireless power transmission. This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. ⓒ

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“…For the very special case in which d is very large (d ≫ r 1 , r 2 ), the closed-form formulas for the mutual inductance of a coaxial case were given by [2,7]   …”

Section: Calculation Of Mutual Inductance Andmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Alternative Expressions for Mutual Inductance and Coupling Coefficient Applied in Wireless Power Transfer

Kim¹,

Lee²

2016

Journal of electromagnetic engineering and science

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show abstract

“…(4) and Eq. (5), respectively [14], where N 1 and N 2 are the numbers of turns of the TX and the RX resonators, respectively. M ¼…”

Section: Proposed Wpt Systemmentioning

confidence: 99%

Asymmetric wireless power transfer systems using coupled DGS resonators

Hekal

Abdel‐Rahman

Allam

et al. 2016

IEICE Electron. Express

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This paper presents a new design for wireless power transfer (WPT) systems using asymmetric structures for the transmitter (TX) and the receiver (RX), and the TX/RX are constructed using spiral-strips defected ground structure (DGS) resonators. The proposed spiral-strips DGS resonator overcome the problem of low self-inductance that encountered by H-shape DGS resonator in [1,2], so that the proposed WPT system that employs the proposed spiral-strips DGS resonators has better efficiency and higher power transmission distance. Design methodology of the proposed WPT system are formulated and fabricated. The measurement results show a WPT efficiency of 78% at a transmission distance of 40 mm with the TX and RX areas of 50 × 50 mm 2 and 30 × 30 mm 2 , respectively.

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“…In order to estimate the mutual inductance, we need to determine the coil geometries first. So far, circular and square coil geometries have been most widely used [11][12][13][14][15][16]. In some work, mutual inductance for circular coils is calculated by using approximated formulas [14,17,18].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Planar Spiral Coils between Two Multilayer Media for Electric Vehicle Wireless Charging

Luo

Wei

2018

Energies

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Square and circular coils are two typical topologies for coupling coils and are applied to wireless charging. However, most of the research on coupling coils is based on the finite element model (FEM), which is a time-consuming process for 3-D structure coils. In this paper, on the basis of Fourier-Bessel transformation and Dual Fourier transformation, two theoretical models of square and circular coils between two multilayer media are proposed. With the proposed models, we consider several important parameters such as the size of the coils, thickness, and permeability of each layer. Thus, both the self-inductance and mutual inductance of two planar coils can be calculated without much computational time. Additionally, these theoretical models can help designers figure out the different trends of self-inductance and mutual inductance, which has plenty of benefits for the preliminary pad design. Lastly, a prototype with a size of 600 mm × 600 mm and a 200 mm air gap was built in order to verify the proposed models.

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Modeling of Mutual Coupling Between Planar Inductors in Wireless Power Applications

Cited by 287 publications

References 44 publications

Alternative Expressions for Mutual Inductance and Coupling Coefficient Applied in Wireless Power Transfer

Alternative Expressions for Mutual Inductance and Coupling Coefficient Applied in Wireless Power Transfer

Asymmetric wireless power transfer systems using coupled DGS resonators

Theoretical Analysis of Planar Spiral Coils between Two Multilayer Media for Electric Vehicle Wireless Charging

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