Magnetic Force Calculation Between Thin Coaxial Circular Coils in Air

Babić, Slobodan; Akyel, C.

doi:10.1109/tmag.2007.915292

Cited by 101 publications

(61 citation statements)

References 11 publications

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“…Thus, an accurate evaluation of the interaction force is required. Many contributions to the interaction force calculation with coaxial or parallel axes based on the analytical or semi-analytical, and the filament method have been performed [1][2][3][4][5][6][7][8][9][10]. The magnetic force can be obtained by using series which converge slowly.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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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“…The differential coefficient is taken with respect to that coordinate. As is evident in [29][30][31][32][33][34][35][36][37][38][39][40], the magnetic force may be calculated by simple differentiation in cases where a general formula for the mutual inductance is available. This formula exists in our case, and the magnetic force between the coils can be calculated with the following expression:…”

Section: Basic Expressionsmentioning

confidence: 99%

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

Babić

Akyel²,

Sirois³

et al. 2011

PIER B

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Abstract-Systems that employ stimulating and implantable monitoring devices utilize inductive links, such as external and implanted coils. The calculation of the mutual inductance and the magnetic force between these coils is important for optimizing power transfer. This paper deals with an efficient and new approach for determining the mutual inductance and the magnetic force between two coaxial coils in air. The setup is comprised of a thick circular coil of the rectangular cross section and a thin wall solenoid. We use an integro-differential approach to calculate these electrical parameters. The mutual inductance and the magnetic force are obtained using the complete elliptic integrals of the first and second kind, Heuman's Lambda function and one term that has to be solved numerically. All possible regular and singular cases were solved. The results of the presented work have been verified with the filament method and previously published data.

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“…The calculation of mutual inductance for circular coils has been studied by many authors [3][4][5][6][7][8][9][10][11][12]. These papers are generally based on the application of Maxwell's formula, Neumann's formula and the Biot Savart law.…”

Section: Introductionmentioning

confidence: 99%

Mutual Inductance and Force Exerted Between Thick Coils

Ravaud¹,

Lemarquand²,

Lemarquand³

et al. 2010

PIER

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Abstract-We present exact three-dimensional semi-analytical expressions of the force exerted between two coaxial thick coils with rectangular cross-sections. Then, we present a semi-analytical formulation of their mutual inductance. For this purpose, we have to calculate six and seven integrations for calculating the force and the mutual inductance respectively. After mathematical manipulations, we can obtain semi-analytical formulations based on only two integrations. It is to be noted that such integrals can be evaluated numerically as they are smooth and derivable. Then, we compare our results with the filament and the finite element methods. All the results are in excellent agreement.

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Magnetic Force Calculation Between Thin Coaxial Circular Coils in Air

Cited by 101 publications

References 11 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

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

Mutual Inductance and Force Exerted Between Thick Coils

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