Analytical 1D-calculation of a 1-turn Coil Parameters for the Magneto-Forming Technology

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.