Numerical study on various types of stress and dislocation generation in multi-crystalline silicon at various growth stages for PV applications

Photovoltaic (PV) solar cell plays a main role in recent development of green energy technology. Multi-crystalline silicon is an important material with advantages of low-production cost and high conversion efficiency of PV solar cells. Numerical simulation was performed to study the generation of creep stress and formation of dislocations in multi-crystalline silicon at the various growth stages. Computations are carried out using the finite volume method. A 2D numerical approach is successfully used to study the thermal stress and dislocation density in directional solidification silicon. The generation of dislocation and von Mises stresses is calculated by Haasen–Alexander–Sumino model. This model gives the quantitative description of the relationship between plastic deformation and dislocation density. This study is aimed to achieve an advanced understanding of the thermal stress, inelastic creep deformation, and dislocation multiplication in grown mc-Si. The results have shown that the most intensive multiplication of dislocations is occurring at the final growth stage, which may control by the optimize hot zone furnace.

[1]  V. Kalaev,et al.  Numerical Modeling of Stress and Dislocations in Si Ingots Grown by Seed-Directional Solidification and Comparison to Experimental Data , 2014 .

[2]  Chung-Wei Lu,et al.  The carbon distribution in multicrystalline silicon ingots grown using the directional solidification process (vol 312, pg 1282, 2010) , 2010 .

[3]  Lei Sun,et al.  Quality evaluation of multi-crystalline silicon ingots produced in a directional solidification furnace with different theories , 2014 .

[4]  Paulo Roberto Mei,et al.  New processes for the production of solar-grade polycrystalline silicon: A review , 2008 .

[5]  Lijun Liu,et al.  Effects of argon flow on melt convection and interface shape in a directional solidification process for an industrial-size solar silicon ingot , 2012 .

[6]  P. Haasen,et al.  Dislocations and Plastic Flow in the Diamond Structure , 1969 .

[7]  Jens Lothe John Price Hirth,et al.  Theory of Dislocations , 1968 .

[8]  K. Kakimoto,et al.  Influence of back-diffusion of iron impurity on lifetime distribution near the seed-crystal interface in seed cast-grown monocrystalline silicon by numerical modeling , 2012 .

[9]  J. Hirth,et al.  Theory of Dislocations (2nd ed.) , 1983 .

[10]  L. Arnberg,et al.  Effect of accelerated crucible rotation on the segregation of impurities in vertical Bridgman growth of multi-crystalline silicon , 2011 .

[11]  Qinghua Yu,et al.  Influence of an insulation partition on a seeded directional solidification process for quasi-single crystalline silicon ingot for high-efficiency solar cells , 2012 .

[12]  K. Kakimoto,et al.  Numerical analysis of cooling rate dependence on dislocation density in multicrystalline silicon for solar cells , 2011 .

[13]  J. Fainberg,et al.  Finite volume multigrid solver for thermo-elastic stress analysis in anisotropic materials , 1996 .

[14]  K. Kakimoto,et al.  Study on thermal stress in a silicon ingot during a unidirectional solidification process , 2008 .

[15]  K. Kakimoto,et al.  Numerical analysis of influence of crucible shape on interface shape in a unidirectional solidification process , 2008 .

[16]  W. Martienssen,et al.  Springer handbook of condensed matter and materials data , 2005 .

[17]  K. Kakimoto,et al.  Role of marangoni tension effects on the melt convection in directional solidification process for multi-crystalline silicon ingots , 2012 .

[18]  Lili Zheng,et al.  Modeling and improvement of silicon ingot directional solidification for industrial production systems , 2009 .

[19]  Residual Thermal Stresses Simulation for Multi-crystalline Silicon Casting , 2012 .

[20]  Zhiyong Wu,et al.  Optimization of the high-performance multi-crystalline silicon solidification process by insulation partition design using transient global simulations , 2015 .

[21]  Antonio Luque,et al.  Handbook of photovoltaic science and engineering , 2011 .

[22]  Y. Kangawa,et al.  Numerical Analysis of the Dislocation Density in Multicrystalline Silicon for Solar Cells by the Vertical Bridgman Process , 2013 .

[23]  N. Stoddard,et al.  Bulk multicrystalline silicon growth for photovoltaic (PV) application , 2008 .