MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILS

MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILS

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 calcul...

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Veröffentlicht in:Electromagnetic waves (Cambridge, Mass.) Mass.), 2010-01, Vol.102, p.367-380
Hauptverfasser: Ravaud, Romain, Lemarquand, Guy, Lemarquand, Valerie, Babic, Slobodan I., Akyel, Cevdet
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Engineering Sciences
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container_title Electromagnetic waves (Cambridge, Mass.)
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creator Ravaud, Romain
Lemarquand, Guy
Lemarquand, Valerie
Babic, Slobodan I.
Akyel, Cevdet
description 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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Engineering Sciences
title MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILS
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