The feedback control of the vertical Bridgman crystal growth process by crucible rotation: Two case studies

Computers and Chemical Engineering

Volumn 29, Issue 4, 2005, Pages 887-896

  Sonda, Paul ^a   Yeckel, Andrew ^a   Derby, Jeffrey J ^a   Daoutidis, Prodromos ^a  

^a University of Minnesota   (United States)

Author keywords

Crystal growth; Flow control; Model based control; Numerical modeling

Indexed keywords

ALGORITHMS; BUOYANCY; CONTROL EQUIPMENT; CRUCIBLES; FEEDBACK CONTROL; LINEARIZATION; OSCILLATIONS;

BRIDGMAN CRYSTAL GROWTH; CRUCIBLE ROTATION; FEEDBACK CONTROL ALGORITHMS; FLOW OSCILLATIONS;

CRYSTAL GROWTH;

CONTROL SYSTEM; MATHEMATICAL ANALYSIS;

ALGORITHM; ARTICLE; CRYSTALLIZATION; FEEDBACK SYSTEM; FURNACE; LINEAR SYSTEM; MATHEMATICAL MODEL; OSCILLATION; TIME;

EID: 15944425786     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2004.09.013     Document Type: Article

References (26)

1. Y. Azuma, N. Usami, T. Ujihara, K. Fujiwara, G. Sazaki, and Y. Murakami Growth of SiGe bulk crystals with uniform composition by utilizing feedback control system of the crystal-melt interface position for precise control of the growth temperature Journal of Crystal Growth 250 2003 298 304
2. C. Batur, W. Duval, and R. Bennett Performance of Bridgman furnace operating under projective control Proceedings of the American control conference 1999 4101 4105
3. C. Batur, A. Srinivasan, W. Duval, N. Singh, and D. Golovaty On-line control of solid-liquid interface by state feedback Journal of Crystal Growth 205 1999 395 409
4. H. Bénard Les Tourbillons cellulaires dans une nappe liquide transportant de la chaleur par convection en régime permanent Annales de Chimie et de Physique 23 1901 62 144
5. P. Capper, and J. Gosney Application of the accelerated crucible rotation technique to the Bridgman growth of CdHgTe: simulations and crystal growth Journal of Crystal Growth 70 1984 356 364
6. L. Chin, and F. Carlson Finite element analysis of the control of interface shape in Bridgman crystal growth Journal of Crystal Growth 62 1983 561 567
7. de Santos, J. (1991). Two-phase cocurrent downflow through constricted passages. Ph.D. thesis, University of Minnesota, available through University Microfilms Inc., http://www.umi.com.
8. P. Daoutidis, and C. Kravaris Synthesis of feedforward/state feedback controllers for nonlinear processes AIChE Journal 35 1989 1602 1615
9. D. Kim, P. Adornato, and R. Brown Effect of vertical magnetic field on convection and segregation in vertical Bridgman crystal growth Journal of Crystal Growth 89 1988 339 356
10. K. Kim, A. Witt, and H. Gatos Crystal growth from the melt under destabilizing thermal gradients Journal of the Electrochemical Society 119 1972 1218 1226
11. A. Kumar, and P. Daoutidis Control of nonlinear differential algebraic equation systems: With application to chemical processes 1999 Chapman and Hall/CRC
12. C. Lan Effects of axial vibration on vertical zone-melting processing International Journal of Heat and Mass Transfer 43 2000 1987 1997
13. W. Liu, M. Wolf, D. Elwell, and R. Feigelson Low frequency vibrational stirring: a new method of radial mixing solutions and melts during growth Journal of Crystal Growth 82 1987 589 597
14. L. Rayleigh On convective currents in a horizontal layer of fluid when the higher temperature is on the under side The Philosopher's Magazine 32 1916 529 546
15. M. Schmachtl, A. Schievenbusch, C. Zimmerman, and W. Grill Crystallization process control during directional solidification in a high-temperature-gradient furnace by guided ultrasonic waves and real-time signal evaluation Ultrasonics 36 1998 291 295
16. R. Seidensticker, and W. Rosch Active control of interface shape during the crystal growth of lead bromide Journal of Crystal Growth 198 1999 988 994
17. J. Shiomi, and G. Amberg Active control of a global thermocapillary instability Physics of Fluids 14 2002 3039 3045
18. Sonda, P. (2003). The modeling, simulation, and control of transport phenomena in a thermally destabilized Bridgman crystal growth system. Ph.D. thesis, University of Minnesota, available through University Microfilms Inc., http://www.umi.com.
19. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby Improved radial segregation via the destabilizing vertical Bridgman configuration Journal of Crystal Growth 260 2003 263 276
20. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby Development of model-based control for Bridgman crystal growth Journal of Crystal Growth 266 2004 182 189
21. Sonda, P., Yeckel, A., Daoutidis, P., Derby, J. J. (2004b). Hopf bifurcation and solution multiplicity in a model for Bridgman crystal growth. Chemical Engineering Science, in press.
22. Srinivasan, A. (1994). Modeling and control of the solid-liquid interface during crystal growth. Ph.D. thesis, University of Akron.
23. A. Yeckel, G. Compère, A. Pandy, and J.J. Derby Three-dimensional imperfections in a model vertical Bridgman growth system for cadmium zinc telluride Journal of Crystal Growth 263 2004 629 644
24. A. Yeckel, and J.J. Derby Effect of accelerated crucible rotation on melt composition in high-pressure vertical Bridgman growth of cadmium zinc telluride Journal of Crystal Growth 209 2000 734 750
25. A. Yeckel, and J.J. Derby Dynamics of three-dimensional convection in microgravity crystal growth: g-jitter with steady magnetic fields Journal of Crystal Growth 263 2004 40 52
26. Yeckel, A., Goodwin, R. T. (2003). Cats2D (Crystallization and Transport Simulator), User Manual, unpublished (available at http://www.msi.umn.edu/ ~yeckel/cats2d.html).