A mathematical simulation of high temperature induction heating of electroconductive solids

Niu

2009 4th IEEE Conference on Industrial Electronics and Applications

2009

The results of an investigation on the electrical resistivity of carbon steels are presented, and mathematical models which take into account the effect of the nonlinearities of the temperature and carbon content are proposed. The result showed that the electrical resistivity had a strong carbon content dependence within the range of 0.06-1.22C wt.%. The sensitivity analysis of the model parameters indicated that a small perturbation of the electrical resistivity of carbon steels may attribute to enormous changes carbon content. A comparison between traditional formula and the regression equation on the relation of temperature and electrical resistivity in steels is provided.

Section: A Regression Equationsmentioning

confidence: 58%

“…Temperature dependence of electrical resistivity was investigated widely for the non-linear finite element analysis of induction heating. However, less research work was on carbon content dependence of electrical resistivity [1]- [4].…”

Section: Introductionmentioning

confidence: 99%

Temperature and carbon content dependence of electrical resistivity of carbon steel

Niu

2009 4th IEEE Conference on Industrial Electronics and Applications

2009

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

“…The following expression to be used to calculate the relative magnetic permeability of the ferromagnetic billet at the temperature lower than Curie temperature is adopted in the paper (Drobenko et al, 2007):…”

Section: Computer-based Modelingmentioning

confidence: 99%

Computer-based modeling of moving cylindrical ferromagnetic billets induction heating

Prakht

Dmitrievskii

Сарапулов

et al. 2013

Purpose -Nowadays, various software is available for simulating physical processes in induction heating. The software is often limited in its ability to simulate the billet movement, sometimes assuming uniform distribution of voltages on the inductor winding, uniformity of the physical properties of the billet, etc. The mathematical model of moving cylindrical ferromagnetic billets described in this paper takes into account the billet's movement, the billet phase heterogeneity and the nonuniformity of the supply voltage distribution in the inductor turns. The paper aims to discuss these issues. Design/methodology/approach -The research methodology is based on FEM analysis of the coupled problem, including the electromagnetic and thermal boundary problem with additional algebraic equations, using Comsol 3.5a software. Findings -The electromagnetic and temperature field in the billet and the voltage distribution on the winding turns have been calculated. The phase distribution in the billet has been predicted. Significant interaction of the nonuniformity of the supply voltage distribution, the billet's movement, the billet phase heterogeneity and side effect on the ends of the inductor have been shown. Practical implications -The results received can be used for designing the induction heating unit for moving cylindrical billets made from ferromagnetic material and improving their characteristics. Originality/value -Investigation of moving cylindrical ferromagnetic billets induction heating can be done by numerical solving the coupled problem including the electromagnetic and thermal boundary problem with additional algebraic equations for the supply voltage distribution.

“…The effect of the temperature dependence of the steel's electrical conductivity coefficient γ and magnetic permeability µ on the electric-field strength and the temperature and stress distributions in the cylinder was also investigated [28]. Already at a temperature around 550 K, consideration of the temperature dependencies of the characteristics is crucial.…”

Section: Soft Ferromagnetic Temperature-sensitive Materialsmentioning

confidence: 99%

“…Consideration of the nonlinear magnetic-field induction-strength dependence requires significantly higher computer resources (see [28]) in the case of coupled thermo-electro-dynamic problems. Besides, reference data on induction-strength nonlinearity of many ferromagnetic materials are not available.…”

Section: Soft Ferromagnetic Temperature-sensitive Materialsmentioning

confidence: 99%

Thermomechanical behavior of polarizable and magnetizable electroconductive solids subjected to induction heating

2008

Self Cite

This paper presents a mathematical and numerical model developed for coupled time-dependent electromagnetic, temperature and mechanical processes, which occur in polarizable and magnetizable electroconductive solids subjected to an electromagnetic field generated by external currents. The electromagnetic field in the solid and in its surroundings is described by Maxwell's equations. The temperature variation in the solid is governed by the classical heat-transfer equation. To predict the stress-strain state of the solid, a nonisothermal theory for thermoplastic materials is used. The model takes into account the temperature dependence of all material coefficients and the nonlinear dependence of the induction on the strength of both the electrical and the magnetic fields. The problem is solved by a finite-element method and a unified set of single time-step algorithms. As an example, the process of high-temperature induction heating of a finite cylinder is considered.