Multi-scale modeling and control of fluidized beds for the production of solar grade silicon ☆
Multi-scale modeling and control of fluidized beds for the production of solar grade silicon ☆
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DOI：
10.1016/j.powtec.2009.04.022
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发表时间：
2010-04
影响因子：
5.2
通讯作者：
S. Balaji;Juan Du;C. M. White;B. Ydstie
中科院分区：
文献类型：
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作者：
S. Balaji;Juan Du;C. M. White;B. Ydstie
在本文中，我们开发了一个多尺度模型来描述由于化学气相沉积（CVD）在流化床反应器（FBR）中的硅颗粒的生长。该反应器系统被设计为通过硅烷的热分解来制造用于太阳能电池应用的多晶硅。使用三个模块-计算流体动力学（CFD）、反应模块和群体平衡模块（PBM）来模拟FBR中连续相和分散相之间的复杂相互作用以及硅颗粒上的CVD。计算流体动力学（CFD）模块通过不同相之间的动量、质量和热量传递来描述流体动力学。反应模块描述了均相气相反应和多晶硅颗粒上的沉积。粒子数平衡代表了颗粒尺寸分布的动态演变。通过耦合在一起的模块，我们提供了一个完整的多尺度模型的颗粒CVD过程。使用COMSOL Multi-physics和MATLAB求解得到的非线性多尺度模型。该模型的计算结果与中试反应器的实验数据相吻合。库存控制器保持空隙率，进而保持出口处硅颗粒的平均直径。
In this paper we develop a multi-scale model to describe the growth of silicon particles due to chemical vapor deposition (CVD) in a fluidized bed reactor (FBR). The reactor system is designed to make poly-silicon for solar cell applications by thermal decomposition of silane. The complex interplay between the continuous and the disperse phases and CVD onto the silicon particles in the FBR is modeled using three modules — Computational Fluid Dynamics (CFD), Reaction Module and Population Balance Module (PBM). The Computational Fluid Dynamics (CFD) module describes the hydrodynamics via momentum, mass and heat transfer between different phases. The reaction module describes the homogeneous gas phase reactions and deposition on polycrystalline silicon particles. The population balance represents the dynamic evolution of the particle size distribution. By coupling together the modules, we provide a complete multi-scale model for the particulate CVD process. The resulting nonlinear, multi-scale model is solved using COMSOL Multi-physics and MATLAB. The results from the proposed model match the experimental data obtained from a pilot scale reactor. An inventory controller maintains the void fraction and in turn the average diameter of the silicon particles at the exit.