Analytical study of mutual inductance of hexagonal and octagonal spiral planer coils

Tavakkoli, Hadi; Abbaspour-Sani, Ebrahim; Khalilzadegan, Amin; Rezazadeh, Ghader; Khoei, Abdollah

doi:10.1016/j.sna.2016.04.065

Cited by 34 publications

(10 citation statements)

References 34 publications

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“…However, this simplicity brings some limitations regarding the coil geometries that the approximation applies for, as well as the precision of the model results. Based on the literature [1,8,[20][21][22][23][24][25][26]30], there are several approximation formulas for calculating the inductance of planar coils, some are application specific [18,[30][31][32], or are only valid for one type of geometry such as the research works from Bryan, Terman, Olivei, Gleason, Dill and others [1,26,33,34], some remain valid for several regular geometries like the Data Fitted Monomial, the Current Sheet Approximation and the Modified Wheeler [1,24,26,35]. These last ones, due to their higher versatility and precision in the results, when compared to others proposed in the literature, are the ones most commonly used.…”

Section: Review Of Analytical Modelsmentioning

confidence: 99%

A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation

Faria

Marques

Ferreira³

et al. 2021

Sensors

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An open-source tool that allows for a fast and precise analytical calculation of multi-layer planar coils self-inductance, without any geometry limitation is proposed here. The process of designing and simulating planar coils to achieve reliable results is commonly limited on accuracy and or geometry, or are too time-consuming and expensive, thus a tool to speed up this design process is desired. The model is based on Grover equations, valid for any geometry. The validation of the tool was performed through the comparison with experimental measurements, Finite Element Model (FEM) simulations, and the main analytical methods usually used in literature, with errors registered to be below 2.5%, when compared to standard FEM simulations, and when compared to experimental measurements they are below 10% in the case of the 1-layer coils, and below 5% in the 2-layer coils (without taking into consideration the coil connectors). The proposed model offers a new approach to the calculation of the self-inductance of planar coils of several layers that combines precision, speed, independence of geometry, easy interaction, and no need for extra resources.

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Section: Review Of Analytical Modelsmentioning

confidence: 99%

A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation

Faria

Marques

Ferreira³

et al. 2021

Sensors

View full text Add to dashboard Cite

show abstract

“…Inductance calculations of hexagonal coils require solution of complex integrals obtained by using the Biot Savart law. However, this process can be simplified by using some approximations such as dividing the inner area of the coil into rectangular and triangular pieces [25,34]. The total flux in the inner area of the coil can be obtained by summing these flux values.…”

Section: Proposed Coil Design and Inductance Calculation For Hexagonamentioning

confidence: 99%

“…Some of them have accurate results [32,33]. However, the equations include many coefficients and complex integral forms [34].In this paper, a calculation method based on the Biot Savart law has been used to obtain the self and mutual inductances of hexagonal coils. It has been shown in the literature that higher efficiency systems can be realized by using cores and multiple coil designs [13,35].…”

Section: Introductionmentioning

confidence: 99%

A 1-kW wireless power transfer system for electric vehicle charging with hexagonal flat spiral coil

Aydin¹,

Aydemir²

2021

Turk J Elec Eng & Comp Sci

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Wireless Power Transfer (WPT) technology is getting more attention in these days as a clean, safe and easy alternative to charging batteries in several power levels. Different coil types and system structures have been proposed in the literature. Hexagonal coils which have a common usage for low power applications, have not been well studied for high and mid power applications such as in Electric Vehicle (EV) battery charging. In order to fill this knowledge gap, the self and mutual inductance equations of a hexagonal coil are obtained and these equations have been used to design a 1 kW WPT system with hexagonal coils for a mid-power stage EV charging. The theoretical and simulation results have been validated with an implementation in the laboratory and a DC-to-DC power efficiency of 85% is achieved across a 10 cm air gap between the perfect aligned coils. The misalignment performance of the system was observed for different positioning of the secondary coil and the output power variation is given. In addition, the effect of shielding on magnetic field exposition of a driver sitting in an EV was obtained and these simulation results were compared in order to check the compliance with international health standards.

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“…In the model, the wire width of the coil is modelled as constant current-carrying filaments. Tavakkoli et al [29] derived a closed-form formula for the mutual inductance between coaxial hexagonal and octagonal planar spiral filamentary coils.…”

Section: Introductionmentioning

confidence: 99%

Analytical calculations of self‐ and mutual inductances for rectangular coils with lateral misalignment in IPT

Huang

Yang

et al. 2019

IET Power Electronics

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Rectangular coils are widely used in inductive power transfer (IPT), and the self-and mutual inductances of them are key system parameters. However, the study of the rectangular coil is not enough. In this study, a series of unified analytical formulae for the self-and mutual inductance calculations of a variety of rectangular coils including filamentary coils, pancake coils and thin-or thick-walled solenoids are presented. Various positions of the rectangular coils above are discussed, and the mutual inductance formulae in the case of co-axis, co-plane, misalignment and even overlapping are given. Finally, the experimental measurements are carried out on various types of rectangular coils. The experimental results agree well with the calculated ones, which indicate the effectiveness of the proposed method. Therefore, this study provides an interesting tool for designing the transceiver of rectangular coils in IPT system.

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Analytical study of mutual inductance of hexagonal and octagonal spiral planer coils

Cited by 34 publications

References 34 publications

A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation

A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation

A 1-kW wireless power transfer system for electric vehicle charging with hexagonal flat spiral coil

Analytical calculations of self‐ and mutual inductances for rectangular coils with lateral misalignment in IPT

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