A semi-analytical coupled simulation approach for induction heating

Abstract

The numerical simulation of the induction heating process can be computationally expensive, especially if ferromagnetic materials are studied. There are several analytical models that describe the electromagnetic phenomena. However, these are very limited by the geometry of the coil and the workpiece. Thus, the usual method for computing more complex systems is to use the finite element method to solve the set of equations in the multiphysical system, but this easily becomes very time consuming. This paper deals with the problem of solving a coupled electromagnetic - thermal problem with higher computational efficiency. For this purpose, a semi-analytical modeling strategy is proposed, that is based on an initial finite element computation, followed by the use of analytical electromagnetic equations to solve the coupled electromagnetic-thermal problem. The usage of the simplified model is restricted to simple geometrical features such as flat or curved surfaces with great curvature to skin depth ratio. Numerical and experimental validation of the model show an average error between 0.9% and 4.1% in the prediction of the temperature evolution, reaching a greater accuracy than other analyzed commercial softwares. A 3D case of a double-row large size ball bearing is also presented, fully validating the proposed approach in terms of computational time and accuracy for complex industrial cases.

Induction Heating during Magnetic Pulse Processing of Metals: Perspective Schemes and their Application

“…From a practical point of view, the latest proposals of the scientists of the Kharkov National Automobile and Highway University (KhNAHU) to increase the intensity of the Lenz-Joule heat release in the metal of the object of processing are of interest [25,26]. The authors of [25] theoretically and experimentally substantiated the advisability of introducing ferromagnets into the design of inductor systems.…”

“…From a practical point of view, the latest proposals of the scientists of the Kharkov National Automobile and Highway University (KhNAHU) to increase the intensity of the Lenz-Joule heat release in the metal of the object of processing are of interest [25,26]. The authors of [25] theoretically and experimentally substantiated the advisability of introducing ferromagnets into the design of inductor systems. It is shown that, in the presence of ferrite filling, there is a significant increase in the amplitudes of the excited currents and it is possible to increase the intensity of the induction process by more than ~ 1.5 times.…”

Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating

“…Numerical modeling of the induction heating process can be difficult from the computational point of view, especially in the case of ferromagnetic materials. Article [9] is devoted to finding solutions for the coupled electromagnetic-thermal problem with higher computational efficiency. Therefore, the so-called semi-analytical modeling approach is needed.…”

Numerical Analysis of Metals Under The Influence of Electromagnetic Field at Different Current Values

“…In the work by Bay et al [9], ferromagnetic nonlinear effects are taken into account, but only temperatures below the Curie temperature are considered and the effect of magnetic hysteresis is neglected. Areitioaurtena et al proposed an approximate solution based on a semianalytical modeling strategy [10,11]. In their work, an analytical electromagnetic approach is followed to solve the coupled electromagnetic-thermal problem by determining the initial model based on the harmonic approximation and performing the finite element solution.…”