Force and torque computation from 2-D and 3-D finite element field solutions

Benhama, A.; Williamson, A.C.; Reece, A.B.J.

doi:10.1049/ip-epa:19990219

Cited by 50 publications

(21 citation statements)

References 4 publications

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“…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]. Using the powerful numerical methods, such as Finite Element Method (FEM) and Boundary Element Method (BEM) [27,28], it is possible to calculate accurately and rapidly this important physical quantity. Also, this problem can be tackled by some semi-analytical methods that can considerably reduce the computational time and the enormous mathematical procedures.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Babić¹,

Akyel²

2012

PIER B

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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: Introductionmentioning

confidence: 99%

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Babić¹,

Akyel²

2012

PIER B

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“…The center of the smaller inclined solenoid of the radius a 2 and the length 2b 2 is placed in the center of the greater solenoid of the radius a 1 and the length 2b 1 . The angle of inclination is y.…”

Section: Examplementioning

confidence: 99%

“…This new formula will serve as a benchmark problem to verify results of the presented method. The center of the smaller inclined filament coil of the radius a 2 is placed at the center of the greater solenoid of the radius a 1 and the length 2b 1 . The angle of inclination is y.…”

Section: Examplementioning

confidence: 99%

Torque calculation between circular coils with inclined axes in air

Babić

Akyel

2011

Int J Numerical Modelling

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SUMMARYIn this paper we derive new semi-analytical expressions for calculating the electromagnetic torque between inclined circular coils in air. The torque calculation has been obtained from the corresponding mutual inductance between inclined circular coils using the filament method. The coils of rectangular cross-section whose centers are at the same and the different axes have been considered. From this general case it is possible to calculate the torque between all possible coil combinations either with rectangular or neglected cross-section. Results obtained by the presented approach are in very good agreement with already published data. This method can be used for industrial electromagnetic devices such as torque sensors, transducers and torque-measuring devices.

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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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Force and torque computation from 2-D and 3-D finite element field solutions

Cited by 50 publications

References 4 publications

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Torque calculation between circular coils with inclined axes in air

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)

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