Cylindrical Magnets and Coils: Fields, Forces, and Inductances

Ravaud, Romain; Lemarquand, Guy; Babić, Slobodan; Lemarquand, V.; Akyel, C.

doi:10.1109/tmag.2010.2049026

Cited by 178 publications

(102 citation statements)

References 22 publications

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“…We confirmed already obtained formulas of the magnetic force between inclined circular loops derived by the Biot-Savart law and by the approach of the mutual inductance. In order to use the new formula, whose final expressions are given per (16) or per (17), (18), (19) and (20), one needs to provide the radius of the primary and secondary coils, the position of the center of the secondary coil (the primary coil is assumed to be centered at origin), and the plane equation with all unit vectors in which the secondary coil is located. With these parameters, the problem is completely defined.…”

Section: Resultsmentioning

confidence: 99%

“…The vast majority of this attention has been given to the purely coaxial geometries [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. More recently the focus has been shifted to calculation of the mutual inductance and magnetic force between circular coils with lateral and angular misalignments [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

Babić

Akyel

2012

IEEE Trans. Magn.

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Abstract-This paper presents a new general formula for calculating the magnetic force between inclined circular loops placed in any desired position. This formula has been derived from the Lorentz force equation. All mathematical procedures are completely described to define the coil positions that lead to a relatively easy method for calculating the magnetic force between inclined circular loops in any desired position. The presented method is easy to understand, numerically suitable and easily applicable for engineers and physicists. The obtained formula is given in its simplest form from the already existing formulas for calculating the magnetic force between inclined circular loops. We validated the new formula through a series of examples, which are presented here.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

Babić

Akyel

2012

IEEE Trans. Magn.

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“…Analytically, mutual inductance can be calculated using numerical iterations [55][56][57], look-up tables [57], Bessel and Struve functions [58], Heuman's lambda function [59], and Biot-Savart law [60]. However, with the development of computer aided tools based on the high precision Finite Element Analysis (FEA), the calculation of mutual inductance became simpler and more convenient.…”

Section: Description Of Coil Designmentioning

confidence: 99%

Precise Analysis on Mutual Inductance Variation in Dynamic Wireless Charging of Electric Vehicle

et al. 2018

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Abstract:Wireless power transfer provides an opportunity to charge electric vehicles (EVs) without electrical cables. Two categories of this technique are distinguished: Stationary Wireless Charging (SWC) and Dynamic Wireless Charging (DWC) systems. Implementation of DWC is more desirable than SWC as it can potentially eliminate challenges associated with heavy weight batteries and time-consuming charging processes. However, power transfer efficiency and range, lateral misalignment of coils as well as implementation cost are issues affecting DWC. These issues need to be addressed through developing coil architectures and topologies as well as operating novel semiconductor switches at higher frequencies. This study presents a small-scale dynamic wireless power transfer system for EV. It specifically concentrates on analyzing the dynamic mutual inductance between the coils due to the misalignment as it has significant influence on the EV charging process, particularly, over the output power and overall efficiency. A simulation study is carried out to explore dynamic mutual inductance profile between the transmitter and receiver coils. Mutual inductance simulation results are then verified through practical measurements on fabricated coils. Integrating the practical results into the model, an EV DWC power transfer simulation is conducted and the relation between dynamic mutual inductance and output power are discussed technically.

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“…A closed form expression of the mutual impedance between two common axis circular turns immersed in air based on elliptic functions was firstly provided by Maxwell [1]. Several studies on two planar coils with parallel axes have been carried out by various authors [2][3][4][5][6][7]. These are particularly useful in applications concerning contactless energy transfer [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Coupling Impedance Between Planar Coils Inside a Layered Media

Carretero¹,

Alonso²,

Acero³

et al. 2011

PIER

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Abstract-In this paper a semi-analytical representation of the coupling impedance between coils composed of filamentary turns located between two layered media is provided on the basis of the spectral expansion of the fields involved in the system. Both media are composed of several layers of homogeneous materials characterized by their physical properties occupying, respectively, a half-space bounded by a plane. The domain in the middle, where the coils are placed, has vacuum properties. The development is focused on misaligned circular coils placed in parallel planes with respect to the media boundaries. Two different behavioral descriptions have been considered: first, the system is made up entirely of magnetic insulators and the coupling impedance is therefore purely inductive; second, at least one medium is an electrical conductor and, as a consequence, an additional resistive component emerges when the coupling impedance is evaluated. In the latter case, the coupling impedance exhibits a frequency dependence due to the dispersive effects associated with the induced currents generated in the conductive media. The model developed is verified by means of a comparison between numerical and experimental results.

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Cylindrical Magnets and Coils: Fields, Forces, and Inductances

Cited by 178 publications

References 22 publications

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

Precise Analysis on Mutual Inductance Variation in Dynamic Wireless Charging of Electric Vehicle

Coupling Impedance Between Planar Coils Inside a Layered Media

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