Forces Between Thin Coils With Parallel Axes Using Bessel Functions

Conway, John T.

doi:10.1109/tmag.2013.2251652

Cited by 15 publications

(14 citation statements)

References 19 publications

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“…Professor J. T. Conway (private communication) kindly provided the authors with the magnetic force results of an independently developed method [17]. In [17], Conway calculated magnetic forces between thin coils with parallel axes using Bessel functions.…”

Section: Examplementioning

confidence: 99%

“…In [17], Conway calculated magnetic forces between thin coils with parallel axes using Bessel functions. All results Tables 1 and 2 can be obtained by the general approach to calculate the magnetic force between two inclined circular loops positioned in any desired position [18].…”

Section: Examplementioning

confidence: 99%

“…Calculate the magnetic force between two thin non coaxial wall solenoids displaced by the perpendicular distance d and with the coil centers displaced by an axial distance c [17]. The larger solenoid has radius R 1 = 1 and its end planes lie at z 1 = 0 and z 2 = 4.…”

Section: Examplementioning

confidence: 99%

See 2 more Smart Citations

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section With Parallel Axes for Superconducting Magnet

Babić

Akyel²,

Ren³

et al. 2012

PIER B

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Abstract-The electromagnetic force between two misaligned coils (coils with parallel axes) with uniform current density distribution and rectangular cross section based on the derived semi-analytical expressions was presented. Using the semi-analytical expressions for magnetic force between filamentary misalignment circular coils we calculate the propulsive and the transverse magnetic force. In order to verify the validity of the expressions, we use the filament method with Grover's formula to calculate the magnetic force for two coils with parallel axes. The results obtained by two methods are in a very good agreement. In this paper, the derivation of the semianalytical expressions and the calculation results of the magnetic force are introduced.

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Section: Examplementioning

confidence: 99%

Section: Examplementioning

confidence: 99%

See 1 more Smart Citation

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section With Parallel Axes for Superconducting Magnet

Babić

Akyel²,

Ren³

et al. 2012

PIER B

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“…2) where the weight of the FM is balanced. A semi-analytical form using Bessel functions for the forces between the two laterally displaced magnets 20 …”

Section: Static Levitation Stability and Restoring Forcesmentioning

confidence: 99%

A diamagnetically stabilized horizontally levitated electromagnetic vibration energy harvester

2015

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This article investigates a horizontal diamagnetic levitation (HDL) system for vibration energy harvesting. In this configuration, two large magnets, alias lifting magnets, are arranged co-axially at a distance such that in between them a magnet, alias floating magnet, is passively levitated at a laterally offset equilibrium position. The levitation is stabilized in the horizontal direction by two diamagnetic plates made of pyrolytic graphite placed on each side of the floating magnet. This HDL configuration permits large amplitude vibration of the floating magnet and exploits the ability to tailor the geometry to meet specific applications due to its frequency tuning capability.Theoretical modeling techniques are discussed followed by an experimental setup to validate it. At an input root mean square (RMS) acceleration of 0.0434 m/s 2 (0.0044 g rms ) and at a resonant frequency of 1.2 Hz, the prototype generated a RMS power of 3.6 µW with an average system efficiency of 1.93%. Followed by the validation, parametric studies on the geometry of the components are undertaken to show that with the optimized parameters the efficiency can be further enhanced.

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“…Computations of the mutual inductance and the magnetic force between coaxial circular coils have been completely solved by the authors in [7][8][9][10][11][12][13][14][15][16][17][18][19][20]. However, the present-day focus has been shifted to the computation of the mutual inductance and the magnetic force between circular coils with lateral and angular misalignments [21][22][23][24][25][26][27][28][29][30]. Furthermore, these computations can be achieved correctly and speedily by using finite element and boundary element methods [31,32].…”

Section: Introductionmentioning

confidence: 99%

Investigating the Impacts of Lateraland Angular Misalignments betweenCircular Filaments

Amos

Hamam

Yasser

et al. 2014

JMMC

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This paper analyses the impacts of lateral and angular misalignments on the mutual inductance and the magnetic force between circular filaments which are arbitrarily positioned in space. Advanced and relevant models available in the literature are used to accomplish the aim of this paper. Using SCILAB application software, the results obtained based on the theoretical model show that as the coil misalignments increase the values of the mutual inductance and the magnetic force keep decreasing and increasing with respect to certain variable rotation angle at any point of the secondary coil. In order to further investigate the impact of coil separation distance and misalignments on the amount of voltage induced in the secondary coil, a model of air-cored transformer is constructed. The experimental results obtained show that the amount of the induced magnetic flux from the primary coil into the secondary coil becomes weaker if the coil separation distance and coil misalignments increase. As a result, a much smaller value of the mutual inductance is obtained resulting to a much smaller induced electromotive force in the secondary coil.In conclusion, this study shows that the full benefits of contactless inductive power transfer (CIPT) systems will not be realized if issues regarding coil separation distance and misalignments are not tackled in the model to be designed for the CIPT transformer.

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Forces Between Thin Coils With Parallel Axes Using Bessel Functions

Cited by 15 publications

References 19 publications

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section With Parallel Axes for Superconducting Magnet

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section With Parallel Axes for Superconducting Magnet

A diamagnetically stabilized horizontally levitated electromagnetic vibration energy harvester

Investigating the Impacts of Lateraland Angular Misalignments betweenCircular Filaments

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