An electromagnetic-thermal coupling example solved on a high frequency inductive system with the Matlab finite elements solver

Ernst, Roland; Grosse, Philippe; Philippe, Laurent

doi:10.1016/s1290-0729(99)80021-0

Cited by 7 publications

(4 citation statements)

References 6 publications

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“…ref. [19][20][21][22] In this paper, we focus mainly on the thermochemical model, coupling mass transfer and thermodynamic calculations at the SiC/gas interfaces. More precisely, in the following section, we describe the specific boundary condition introduced at the crystal surface to link the crystal's chemical properties to the growth process conditions.…”

Section: Computation Detailsmentioning

confidence: 99%

A first step toward bridging silicon carbide crystal properties and physical chemistry of crystal growth

et al. 2016

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International audienceThe links between the occurrence of a given silicon carbide (SiC) polytype and crystal growth conditions have been mainly empirically described. Although studies are a little more advanced, a similar description can be applied to point defects and especially dopants in the crystals. We propose a method to determine such links, based on a coupled thermodynamic and mass transport model, where SiC is treated as a solid solution. We implemented such an approach to the case of the seeded sublimation growth process, which is currently the industrial bulk growth process for SiC single crystalline ingots. The computation of both Si and C activities in the SiC crystal, between the SiC-C and SiC-Si two-phase equilibria, allowed first the assessment of the SiC crystal chemistry and second the linking of SiC-C and SiC-Si chemistry with the growth process parameters. We demonstrate that depending on the temperature, pressure and a temperature gradient, the activities of Si and C in the crystals can be described and tuned. The case of cubic polytype (3C-SiC) formation is specifically discussed. Its stabilization requires a high Si activity and a low C activity in the SiC crystal, meaning that the synthesis conditions must be close to the limit at the SiC + Si phase boundary

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Section: Computation Detailsmentioning

confidence: 99%

A first step toward bridging silicon carbide crystal properties and physical chemistry of crystal growth

et al. 2016

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“…Because of the same reason, the temperature differences inside the workpiece are higher than those of the one-dimensional case. Also, (7), (8), and (9) because they start from the inlet at t ¼ 0 s, as shown in Fig. 8.…”

Section: Two-dimensional Calculationmentioning

confidence: 95%

“…Sadeghipour et al [7] investigated the induced power density profile and transient temperature distribution, using finite element analysis, for a flanged tube of AISI 1040 steel. Ernst et al [8] presented a new and original electromagnetic-thermal coupling modeling tool based on the Matlab two-dimensional finite elements solver for the optimization of a single SiC crystal inductive elaboration process. Arita et al [9] analyzed the results of finite element analysis of high-frequency induction heating problems considering temperature dependence of material characteristics using threedimensional finite element analysis in order to correctly express the induction heating coil's shape.…”

Section: Introductionmentioning

confidence: 99%

Coupled electro-magneto-thermal model for induction heating process of a moving billet

Cho

2012

International Journal of Thermal Sciences

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“…In analyzing the induction heating processes, the papers (Biju et al, 2009;Ernst et al, 1999) introduce the assumption of the voltage drops being equal in separate inductor turns. In modeling the induction heating process of the moving ferromagnetic billets, however, it is necessary to take into account the fact that both the billet's parts being in the ferromagnetic state and those undergone the phase transition into the paramagnetic state are simultaneously in the induction heating zone.…”

Section: Introductionmentioning

confidence: 99%

Computer-based modeling of moving cylindrical ferromagnetic billets induction heating

Prakht

Dmitrievskii

Сарапулов

et al. 2013

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

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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.

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An electromagnetic-thermal coupling example solved on a high frequency inductive system with the Matlab finite elements solver

Cited by 7 publications

References 6 publications

A first step toward bridging silicon carbide crystal properties and physical chemistry of crystal growth

A first step toward bridging silicon carbide crystal properties and physical chemistry of crystal growth

Coupled electro-magneto-thermal model for induction heating process of a moving billet

Computer-based modeling of moving cylindrical ferromagnetic billets induction heating

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