3D models of proximity effects in large FeSi and FeMn furnaces

Herland, Egil V.; Sparta, Manuel; Halvorsen, Svenn Anton

doi:10.17159/2411-9717/2018/v118n6a8

Cited by 14 publications

(8 citation statements)

References 8 publications

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“…Here, the power density is highly affected by 3D effects. [28] sections (A1 and B1), the 3D results are similar to the 2D models without a steel shell. These cross sections are on the level of or above the furnace edge.…”

Section: Comparison With 3d Resultssupporting

confidence: 57%

“…Another consequence of the induced shell currents is that they generate some heat in the furnace shell. Although the amount is small compared with the total furnace power, [28] the heating may affect local temperatures in the lining and shell. [27] V. CONCLUSIONS 2D models describing the skin effect, electrode-electrode proximity effects and currents in the furnace shell have been reviewed.…”

Section: Comparison With 3d Resultsmentioning

confidence: 99%

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Skin and Proximity Effects in Electrodes and Furnace Shells

Herland

Sparta

Halvorsen

2019

Metall Mater Trans B

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A review of two-dimensional (2D) analytical models of skin and proximity effects in large industrial furnaces with three electrodes arranged in an equilateral triangle is given. The models cover three different cases: one electrode only, three electrodes where two are approximated by line currents, and induced shell currents where all electrodes are approximated by line currents. The first two models show how the skin and proximity effects depend on electrode material properties and size, and the distance between the electrodes. The third model shows how the strength of the induced shell currents will depend on electrode position and furnace size. These models are compared to numerical studies including distributed electrodes and shell currents. The analytical models are accurate when induced shell currents can be disregarded. However, strong shell currents may have a significant impact on the current distribution within the electrodes. This electrode-shell proximity effect competes with the electrode-electrode proximity effect. Finally, the 2D models have been compared with three-dimensional (3D) case studies of large industrial furnaces. In 3D, the shell currents are significantly smaller than what are predicted by the 2D models, but they are sufficiently strong to cause a significant correction of the electrode current density.

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Section: Comparison With 3d Resultssupporting

confidence: 57%

Section: Comparison With 3d Resultsmentioning

confidence: 99%

Skin and Proximity Effects in Electrodes and Furnace Shells

Herland

Sparta

Halvorsen

2019

Metall Mater Trans B

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“…Electrical conductivity [S/m] Electrode [6] 225000 Arc [22] 7000 Crater 1e-14 Carbide [6] 400 Charge 0.15, 15 Molten material [23] 1388900 Carbon block [6] 225000 Alumina brick 1e-14 Steel shell [14] 6.3e+10…”

Section: Zonesmentioning

confidence: 99%

“…Other researchers have developed different numerical models for SAF based on Computational Fluid Dynamics (CFD) and Finite Element Method (FEM). Herland et al [14] studied proximity effects in large FeSi and FeMn furnaces using FEM. In their model, they have included different parts of the furnaces.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Current and Power Distributions in a Submerged Arc Furnace

Tesfahunegn

Magnusson²,

Tangstad

et al. 2019

The Minerals, Metals &Amp; Materials Series

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Most submerged arc furnaces used for the production of ferroalloys run on three-phase alternating current. This affects the electrical operation of the furnace and thus it is of interest to study alternating current distributions in the system. This work presents computations of alternating electric current distributions inside an industrial submerged arc furnace for silicon production. A 3D model has been developed in ANSYS Maxwell using the eddy current solver. In each phase, electrode, central arc, crater, crater wall and side arcs that connect electrode and crater wall are taken into account. In this paper, the dynamic current distributions in different parts of the furnace, as well as skin and proximity effects in and between electrodes are presented. Moreover, active and reactive power distributions in various components of the furnace are quantified.

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“…[23] When present, these shell currents may also modify the currents of the electrode, effectively creating electrode-shell proximity effects. [24] Review papers about two-dimensional (2D) analytical models of skin and proximity effects, together with comparison papers that considered three-dimensional (3D) case studies of large industrial furnaces [25] and that conducted 3D simulations of ferromanganese and ferrosilicon furnaces [24] concluded that while 2D analytic solutions have the merit to capture part of the effects in play, 3D simulations are recommended to gain proper insight into the current distribution within the electrodes in large industrial furnaces. [25] The value of 3D models for SAFs have been discussed also by other authors: for example, Dhainaut applied a DC model to investigate current and power distribution for the point in time where the current enter one electrode and distribute evenly to the other two.…”

Section: Introductionmentioning

confidence: 99%

Metamodeling of the Electrical Conditions in Submerged Arc Furnaces

Sparta

Varagnolo

Stråbø

et al. 2021

Metall Mater Trans B

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Physics-based Finite Element Methods models can be used to investigate the electrical conditions in submerged arc furnaces (SAFs). However, their explicit solution may be very demanding in terms of time and computational resources. This makes these models difficult to employ during control operations and in fast prototyping. To obviate these inconveniences, we developed metamodels that are grounded on the physics-based model. In this context, a metamodel is a surrogate of an original model obtained using statistical analysis tools to determine approximate input–output relationships in a database of simulations from the original model. The metamodels for the SAF electrical conditions are shown to retain the same generalization capabilities as the original model while being computationally lightweight.

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3D models of proximity effects in large FeSi and FeMn furnaces

Cited by 14 publications

References 8 publications

Skin and Proximity Effects in Electrodes and Furnace Shells

Skin and Proximity Effects in Electrodes and Furnace Shells

Dynamic Current and Power Distributions in a Submerged Arc Furnace

Metamodeling of the Electrical Conditions in Submerged Arc Furnaces

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