A frequency domain approach for computing the Lorentz force in electromagnetic metal forming

Abstract

In this paper we present a finite element model in frequency domain which computes the Lorentz force that drives an electromagnetic forming (EMF) process. The only input data required are the electrical parameters of the capacitor bank, the coil and the work piece. The main advantage of this approach is that it provides an explicit relation between the parameters of the EMF process and the frequency of the discharge, which is a key parameter in the design of an optimum EMF system. The method is computationally efficient because it only requires to solve time-harmonic Maxwell's equations for a few frequencies and it can be very useful for coil design and for testing modeling conditions on complex three-dimensional geometries.

A Posteriori Error-Estimators for Induction Heating Processes Modelling

“…Therefore, the main aim is to make these tools more accurate, efficient, reliable and ergonomic for use in industrial contexts. Several works have been carried out in that direction, as is the case of [6], [7], [8] and [9] for induction heating process or [10], [11] and [12] for MPF processes.…”

“…The first a posteriori estimator based in the physical phenomena aims to verify the Faraday's Induction law (11), one of the main laws of electromagnetics.…”

“…Implementation: As this estimator aims to verify the Faraday's Induction law (11), the summation of the electric circulation and the change magnetic flux density on time have to be near to zero.…”

Numerical and experimental study of electromagnetic induction heating process for bolted flange joints

“…In most cases, it is impossible to deduce the electromagnetic and temperature distribution analytically. Therefore, finite element method (FEM)-based numerical simulation has become a popular mean used by many researchers to analyze the induction heating process in industrial applications, including metal forming, 6–13 melting 14 and molding, 15 crystal growing, 16 wafer packaging, 17,18 and welding process. 19,20 Cho 6 established a cost-effective coupled electromagnetic-thermal model to numerically analyze the solutions of both stationary and moving workpiece under low frequency induction heating system, which could predict more precise results of temperature distribution in the variable magnetic field than the previous model.…”

“…Further, Otio et al. 8 also efficiently calculated the Lorentz force in frequency domain by solving harmonic Maxwell’s equations, providing an analytical example for the inductor coil design and improvement. Chaharmiri et al.…”