Computational Study of Induction Heating Process in Crystal Growth Systems—The Role of Input Current Shape

Mohammad Hossein Tavakoli, Tayebe Nadery Mostagir

Department of Physics, Kurdistan University, Sanandaj, Iran.
Physics Department, Bu-Ali Sina University, Hamedan, Iran.

DOI: 10.4236/csta.2012.13021                

Abstract

A set of 2D steady state finite element numerical simulations of electromagnetic fields and heating distribution for an oxide Czochralski crystal growth system was carried out for different input current shapes (sine, square, triangle and sawtooth waveforms) of the induction coil. Comparison between the results presented here demonstrates the importance of input current shape on the electromagnetic field distribution, coil efficiency, and intensity and structure of generated power in the growth setup.

Keywords

A1. Computer Simulation; A1. Induction Heating; A2. Czochralski Method; A2. Growth from Melt; B1. Metals

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	J. J. Derby, L. J. Atherton and P. M. Gresho, “An Integrated Process Model for the Growth of Oxide Crystals by the Czochralski Method,” Journal of Crystal Growth, Vol. 97, No. 3-4, 1989, pp. 792-826. doi:10.1016/0022-0248(89)90583-6
[2]	D. T. J. Hurle, “Crystal Pulling from the Melt,” Springer-Verlag, Berlin, Heidelberg, 1993. doi:10.1007/978-3-642-78208-4
[3]	O. Klein and P. Philip, “Transient Numerical Investigation of Induction Heating during Sublimation Growth of Silicon Carbide Single Crystals,” Journal of Crystal Growth, Vol. 247, No. 1-2, 2003, pp. 219-235. doi:10.1016/S0022-0248(02)01903-6
[4]	M. H. Tavakoli, F. Samavat and M. Babaiepour, “Influence of Active Afterheater on the Induction Heating Process in Oxide Czochralski Systems,” Crystal Research and Technology, Vol. 43, No. 2, 2008, pp. 145-151. doi:10.1002/crat.200710993
[5]	M. H. Tavakoli, A. Ojaghi, E. Mohammadi-Manesh and M. Mansour, “Influence of Coil Geometry on the Induction Heating Process in Crystal Growth Systems,” Journal of Crystal Growth, Vol. 311, No. 6, 2009, pp. 1594-1599. doi:10.1016/j.jcrysgro.2009.01.092
[6]	M. H. Tavakoli, E. Mohammadi-Manes and A. Ojaghi, “Influence of Crucible Geometry and Position on the Induction Heating Process in Crystal Growth Systems,” Journal of Crystal Growth, Vol. 311, No. 17, 2009, pp. 4281-4288. doi:10.1016/j.jcrysgro.2009.07.013
[7]	M. H. Tavakoli, H. Karbaschi, F. Samavat and E. Mohammadi-Manesh, “Numerical Study of Induction Heating in Melt Growth Systems—Frequency Selection,” Journal of Crystal Growth, Vol. 312, No. 21, 2010, pp. 3198-3203. doi:10.1016/j.jcrysgro.2010.07.035
[8]	G. H. Hardy and W. W. Rogosinski, “Fourier Series,” Dover, 1999.
[9]	M. H. Tavakoli, “Modeling of Induction Heating in Oxide Czochralski Systems Advantages and Problems,” Crystal Growth Design, Vol. 8, No. 2, 2007, pp. 483-488. doi:10.1021/cg070378+
[10]	S. Zinn and S. L. Semiatin, “Elements of Induction Heating,” ASM International, Cleveland, 1988.
[11]	V. Rudnev, D. Loveles, R. Cook and M. Black, “Handbook of Induction Heating,” CRC Press, New York, 2003.