A Simulation Study for Optimal Pull-Speed Schedule of Ingot Growing Process for Crystalline Silicon Solar Cell

To control ingot diameter and pull speed of ingot for crystalline silicon solar cell, various control techniques are applied. The main theme of this study is to realize the operational process in computer simulation with dynamic data of ingot diameter and full speed via heat transfer in real system. First of all we developed thermal dynamic modeling program for single crystalline silicon ingot production process. We used the thermal parameters, operational parameters, crucible rotation rate, pull-speed of ingot, ingot diameter and crucible shield structure with heater and parameters in heat-transfer phenomena. Finally we got optimal pulling speed scheduling in equation and applied this equation to whole process modeling program. After preparing all the modules in one package we simulated it in the view point of ingot diameter control. We compared the simulation result and some real process data. And the results of this simulation are similar enough with real process data