Analytical 1D-calculation of a 1-turn Coil Parameters for the Magneto-Forming Technology
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Date
2016-04-27
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Abstract
In this paper, we will present an analytical modelling of a one-turn coil dedicated to
magnetic-pulse technologies. The goal is to be able to determine the main useful parameters
of an inductor by calculating the magnetic vector potential “A” diffusion. The concerned
parameters are electromagnetic (electromagnetic fields, magnetic flux and electric current
densities), electrical (resistance and inductance, maximum field coefficient) and
electromechanical (Lorentz force density and maximum force coefficient). The results
obtained will then be compared to numerical computations performed onto some test cases.
In order to get an approximate but robust analytical solution, it is proposed to assume an
axial symmetry and to solve the problem in the harmonic working condition before studying
the transient state.
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Keywords
magnetic pulse forming and welding, Bessel functions, analytical methods