Numerical Modeling of Ferrite Material Impact on the Effectiveness of Induction Heating Process (original) (raw)
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Development of a Model for Induction Heating
2002
The development of this derivation was taken from References [1] to [6]. The development leads to a set of equations that can be used to solve for the amount of induction heating within a conductor. The following equations are a version of Maxwell's equations. Details of the intial assumptions to reach this state can be found in References [2] and [5].
COUPLED VII : proceedings of the VII International Conference on Computational Methods for Coupled Problems in Science and Engineering, 2017
Computer modeling is necessary part of design new induction heating and melting devices [1]. One of the complicated technologies when it is necessary to simulate coupled electromagnetic, temperature and magnetohydrodynamic fields is heating and melting of titanium alloys in the alternating electromagnetic field. Thermal processing of titanium alloys in the inductor has some features that it is necessary to take into account on the designing of the advanced technology and equipment. Low thermal conductivity and high temperature losses at the surface result in maximum temperature inside of the billet that could under appropriate conditions exceed melting point. In this way it is possible to obtain liquid phase of titanium alloy inside of the billet and protect it from the contact with surrounding atmosphere. To get this it is necessary to choose the right regime of processing, frequency of current, power and thermal conditions. At the same time precise heating with very strong execution of the temperature profile during the heating time are essential for thermal processing of titanium alloys in this technology [2]. Mathematical model comprising computation of electromagnetic, temperature, MHD fields after getting melt zone and dynamic of its growth was developed. The calculation of the melting process has been carried out by the method "enthalpy-porosity" with application of models of turbulent currents k-ω SST in a non-static setting. Electromagnetic forces and heat sources have been defined by solving a harmonic task by the method of finite elements on a vector magnetic potential in the system "inductor-load" for each iteration of the hydrodynamic task. Experiments confirmed need in simulation of MHD fields to receive good coincidence. Using of the developed models for simulation of electromagnetic processing billets make it easy to develop and implement optimal heat processing systems for the crucibleless induction melting of titanium alloys.The calculations on the basis of the model and the analysis of physical processes with non-crucible melting of titanium alloys have also been carried out.
Journal of Electrical and Electronics Engineering, 2014
The paper deals with numerical computation methods for solving the quasistationary electromagnetic field for ferromagnetic semi-finished parts placed into industrial inductor. Finite element method is used for eddy current problem solution initially for fixed ferromagnetic parts. The coupled question electromagnetic field and thermal field during induction heating process is solved. Power density as a function of amplitude and frequency of exciting current is evaluated. Thermal field distribution inside the semi-finished part is also quantified. These results are an essential phase in the design optimization of industrial induction equipment and the heating process.
Electric and Magnetic Fields Analysis of Traveling Wave Induction Heating
2019
The analysis of the electromagnetic problem is the dominant aspect to investigate the performance of the induction heating process. There are two universal analysis methods; the mathematical and numerical methods, each of them has its own advantages and drawbacks. This paper presents a comprehensive analysis of the electromagnetic problem, for the Traveling Wave Induction Heating (TWIH) system, by the aid of mathematical analytical approach. The 2dimensional model is analyzed and the solution of the electromagnetic field is concern on investigation the behaviour of the magnetic field attenuation, material impedance, normal forces between the heater and material, the air gap flux, eddy current density, produced power, magnetizing reactance and effective workpiece resistance. The analytical results are verified by comparing them with that of the numerical analysis method. The comparison shows significant convergence between the presented analytical method and the numerical analysis me...
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Modelling and Optimization of Distributed Parameter …, 1996
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Rigorous Electromagnetic Analysis of Domestic Induction Heating Appliances
PIERS Online, 2009
In this paper the developed analytical electromagnetic model of induction heating system is presented. The model was built up assuming equivalent electric and magnetic currents flowing in each planar element of the typical structure used for an induction heating system: the load disk represents the pan steel bottom, the copper inductor, and ferrite flux conveyor. A system of integral equations system was then obtained enforcing the boundary conditions on each element of the structure for the electric and magnetic fields, produced by the equivalent currents. The numerical solution of the system is a matrix equation with a known voltage vector in the left-hand side, and product of impedance coefficients matrix and unknown electric and magnetic currents vector in the right-hand side. Since the feeding voltage is known, and impedance coefficients are calculated using of geometry and material parameters, currents vector can be also calculated. Thus, the whole model is solved and it gives a detailed picture of currents distribution in the system, which in its turn allows to analyze heating process in the load. Each step of developing of the model was verified by appropriate experimental measurements. Achieved results give a possibility to analyze and develop improvements to increase efficiency, safety and to reduce the cost.
Numerical Based Simulation and Electromagnetic Field Calculation at Metal Induction Heating
Paper is presenting results of research on application of simulation software in defining the parameters of the electromagnetic field and temperature distribution in induction heating for metal conductor. Modern simulation programs for calculation of parameters of electromagnetic field and head transfer are based on numerical methods such as Finite Differences Methods (FDM) and Finite Element Method (FEM). In this paper is used ELTA simulation program, based on FDM method, product of the Flux control.