preliminary investigation of metal melting in icf elta · 2020. 1. 14. · induction melting of...
TRANSCRIPT
Several problems of melting in the induction crucible furnaces are described. A short description of ICF ELTA program for simulation of electromagnetic and
thermal parameters in these systems is given. The program was used at the initial stage of the development of new technological processes and the induction
crucible furnaces. Preliminary results allowed to find a rational decision of an induction system, the required parameters of a refractory and a power supply. Non-
conductive and graphite crucibles of the furnace were compared from electrical and economical points of view.
Introduction
A preliminary investigation of the melting processes in the induction crucible furnaces was carried out
using ICF ELTA. The results of simulation permitted to find the required geometrical parameters of the
induction coils, the refractory and the electrical parameters of the power supply for the new
technological process. The advantage of the graphite crucible from an economical point of view was
proved.
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Conclusion
Introduction
Preliminary investigation of metal melting in ICF ELTAV. Bukanin¹, A. Ivanov¹, A. Zenkov¹
¹St. Petersburg Electrotechnical University (LETI), 5, Prof. Popov Str., St. Petersburg, Russia, 197376
where Q, P – elements of system, zQ – impedance of coil, xQP – reactance,
I – current of element, U – voltage of coil, NQP – coefficient of Magnetization
Forces, W – number of turns, SQ = µQ /(1 – µQ) – coefficient, µQ – magnetic
permeability
Description of ICF ELTA: Calculation methods
ICF ELTA program provides a two dimensional calculation of electromagnetic and
thermal fields in cylindrical induction system using both integral and differential
numerical methods
where R – radius, – resistivity, – angular frequency, µµ0 – magnetic permeability. Cv – specific heat, t – time, λ – thermal conductivity, Z – axial coordinate, w – volumetric power density
The ICF of 10 tons steel with 2 parallel connected 8 windings coils and 2 Faradayrings was described in [5]. Frequency of power supply is 286 Hz.
Results of Simulation: Comparison of results
, ;
, 0;
, 0 ;
, 0
Q Q QP P Q
P
k Q Q QP P
P
f Q QP P P
P
Q Q QP P P
P
Q B Z I j x I U
Q N Z I j x I
Q N I N W I
Q F S I N W I
B
1
1
( ) ( ) ( )
( ) ( ) ( ) ( ) 0
0( ) ( ) ( ) ( )
0( ) ( ) ( ) (( ( ))
Bk Bf BF B B
kkB kk kk kf kF
ffB B fk ff fF
FB B Fk Ff FF F
Z j x j x j x I U
Ij x Z jx j x j x
IN W N N N
N W N N N S I
Three types of crucible for coreless induction crucible furnaces are known
• crucibles with non-conductive refractory;• conductive crucible;• cold crucible.
Main equations for internal electromagnetic (Н) and temperature (T) fields
HjR
HR
RR
0ωμμρ
1
)(
wZ
T
Z
T
R
TR
R
T
Rt
TCv
)( )( λλ
1
Description of ICF ELTA:Main features of the program
ICF ELTA program has been developed by induction specialists to preliminary
simulation of induction melting technologies and equipment
• short time of calculation
• selection of required compensating circuits and
leads
• convenient preprocessing for input parameters
• convenient post processing for visualization of
output parameters
Preprocessing
Postrocessing
References[1] Mühlbauer, A. (2008). History of Induction Heating and Melting. Vulkan-Verlag, Essen., 202.
[2] Muelbauer, A., Raming, A, Muiznieks, A, Vogt, M, Bernier, F, Choudhury, A, Jarczyk, G. (1998). Induction melting of metallic high-temperature alloys and oxides
in a cold crucible. In: Proc. of the International Induction Heating Seminar, Padua, May 13-15. 271-278.
[3] Ernst, R., Garnier, C., Petitpas, P., Trassy, C. (2007). 2D and 3D numerical modeling of a cold crucible for Induction melting of metallic high-temperature alloys
and oxides in a cold crucible. In: Proc. of the International Symposium Heating by Electromagnetic Sources, Padua, June 19-22. 33-40.
[4] Umbrasko, A., Baake, E., Nacke, B., Jakovics, A. (2007). Numerical studies of the melting processes in the induction furnace with cold crucible. In: Proc. of the
International Symposium Heating by Electromagnetic Sources, Padua, June 19-22. 277-284.
[5] Nemkov, V. (2013). Magnetic flux control in induction installations. In: Proc. of the international conference HES-13 Heating by Electromagnetic Sources,
Padua, May 21-24. 117-125.
[6] Demidovich, V., Pozniak, I., Baake, E., Muelbauer, A. (1998). Methods and tools for simulation and design of induction crucible furnaces. In: Proc. of the
international Induction Heating Seminar, Padua, May 13-15. 389-396.
[7] Nemkov, V.S., Demidovich, V.B. (1988). Theory and Calculation of Induction Heating Devices. Energoatomizdat, Leningrad, 280. (in Russian).
Pind [kW] Pind [kW] Iind [A] Pwork [kW] Qind [kVAr] ind
ICF ELTA 902 5000 24550 4098 53860 0.819
FLUX 2D 850 5000 24040 4110 47800 0.822
Comparison of some obtained results showed a good practical correlation betweenan experiment and calculation.
Results of Simulation: Melting of copper and aluminum in graphite crucibles
Graphite crucible can increase electricalefficiency of heating. The rational solution forthis configuration is graphite crucible atfrequency 8000 Hz.
Coil•29 cm interior dia;•50 cm length;•9 turns;•rectangle tube profile4×3×0.9 cm
Generator•250 kW output max.;•Frequency: available range is 50; 250; 500; 1000; 2400; 8000; 10000 Hz;
Crucible: height 55 cm, external dia. 46 cm, internal dia. 34 cm. Magnesite refractory: thickness 6 cm – wall, 15 cm – bottom. Coil: 47 cm ID, 37 cm length, 10 number of turns, rectangle tube: 3.2×3.2×0.4 cm. Melt: height 37 cm, diameter 34 cm.Power supply: thyristor inverter 800 V, 800 kW, 500 Hz. Constant inductor power 600 kW.
Variant of crucible t, [s] Avg. η
Specific W, Copper/Total
[kW·h/t]
Product. [t/h]
Mean T, [C]
Non-conductive, cold start
1515 0.316 265/845 0.712 1200
hot start 1125 0.342 213/628 0.959 1200
Graphite, cold start 940 0.592 309/525 1.15 1200
hot start 630 0.606 212/352 1.71 1200