MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILSReport as inadecuate




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1 LAUM - Laboratoire d-acoustique de l-université du Maine 2 EPM - Ecole Polytechnique de Montreal

Abstract : We present exact three-dimensional semi-analytical ex- pressions of the force exerted between two coaxial thick coils with rect- angular 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 induc- tance 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 ¯la- ment and the ¯nite element methods. All the results are in excellent agreement.





Author: Romain Ravaud - Guy Lemarquand - Valérie Lemarquand - Slobodan Babic - Cevdet Akyel -

Source: https://hal.archives-ouvertes.fr/



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