CLC number: TB12; TB30
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2016-12-12
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Chih-Hung Chen, Hsuan-Teh Hu, Fu-Ming Lin, Hsin-Hsin Hsieh. Residual stress analysis and bow simulation of crystalline silicon solar cells[J]. Journal of Zhejiang University Science A, 2017, 18(1): 49-58.
@article{title="Residual stress analysis and bow simulation of crystalline silicon solar cells",
author="Chih-Hung Chen, Hsuan-Teh Hu, Fu-Ming Lin, Hsin-Hsin Hsieh",
journal="Journal of Zhejiang University Science A",
volume="18",
number="1",
pages="49-58",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1500279"
}
%0 Journal Article
%T Residual stress analysis and bow simulation of crystalline silicon solar cells
%A Chih-Hung Chen
%A Hsuan-Teh Hu
%A Fu-Ming Lin
%A Hsin-Hsin Hsieh
%J Journal of Zhejiang University SCIENCE A
%V 18
%N 1
%P 49-58
%@ 1673-565X
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1500279
TY - JOUR
T1 - Residual stress analysis and bow simulation of crystalline silicon solar cells
A1 - Chih-Hung Chen
A1 - Hsuan-Teh Hu
A1 - Fu-Ming Lin
A1 - Hsin-Hsin Hsieh
J0 - Journal of Zhejiang University Science A
VL - 18
IS - 1
SP - 49
EP - 58
%@ 1673-565X
Y1 - 2017
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1500279
Abstract: The pressure to reduce solar energy costs encourages efforts to reduce the thickness of silicon wafers. Thus, the cell bowing problem associated with the use of thin wafers has become increasingly important, as it can lead to the cracking of cells and thus to high yield losses. In this paper, a systematic approach for simulating the cell bowing induced by the firing process is presented. This approach consists of three processes: (1) the material properties are determined using a nanoidentation test; (2) the thicknesses of aluminum (Al) paste and silver (Ag) busbars and fingers are measured using scanning electron microscopy; (3) non-linear finite element analysis (FEA) is used for simulating the cell bowing induced by the firing process. As a result, the bowing obtained using FEA simulation agrees better with the experimental data than that using the bowing calculations suggested in literature. In addition, the total in-plane residual stress state in the wafer/cell due to the firing process can be determined using the FEA simulation. A detailed analysis of the firing-induced stress state in single crystalline silicon (sc-Si), cast, and edge-defined film-fed growth (EFG) multi-crystalline silicon wafers of different thicknesses is presented. Based on this analysis, a simple residual stress calculation is developed to estimate the maximum in-plane principal stress in the wafers. It is also proposed that the metallization pattern, Ag busbars and fingers screen printed on the front of a solar cell, can be designed using this approach. A practical case of a 3-busbar Si solar cell is presented.
The paper demonstrates a systematic approach to evaluate the mechanical properties of wafers and solar cells. The FEA simulation proposed by the authors provides accurate bowing results and the stress distribution for various types of Si wafer, that agree well with experiments. The research results are quite interesting, which can be used to estimate the possibility of breakage in solar cell fabrication.
[1]Bähr, M., Dauwe, S., Lawerenz, A., et al., 2005. Comparison of bow-avoiding Al pastes for thin, large-area crystalline silicon solar cells. 20th European Photovoltaic Solar Energy Conference and Exhibition, p.926-929.
[2]Best, S.R., Hess, D.P., Belyaev, A., et al., 2006. Audible vibration diagnostics of thermo-elastic residual stress in multi-crystalline silicon wafers. Applied Acoustics, 67(6):541-549.
[3]Bittoni, L., Calvelli, R., Butturi, M.A., et al., 2006. Aluminium pastes suitable for wide range thin crystalline silicon solar cells processing. Blistering and bowing effects reduction. 21st European Photovoltaic Solar Energy Conference and Exhibition, p.818-821.
[4]Brito, M.C., Maia Alves, J., Serra, J.M., et al., 2005a. Measurement of residual stress in EFG ribbons using a phase-shifting IR photoelastic method. Solar Energy Materials and Solar Cells, 87(1-4):311-316.
[5]Brito, M.C., Pereira, J.P., Maia Alves, J., et al., 2005b. Measurement of residual stress in multicrystalline silicon ribbons by a self-calibrating infrared photoelastic method. Review of Scientific Instruments, 76(1):013901.
[6]Brown, G.R., Levine, R.A., Shaikh, A., et al., 2009. Three-dimensional solar cell finite-element sintering simulation. Journal of the American Ceramic Society, 92(7):1450-1455.
[7]Brun, X.F., Melkote, S.N., 2009. Analysis of stresses and breakage of crystalline silicon wafers during handling and transport. Solar Energy Materials and Solar Cells, 93(8):1238-1247.
[8]Funke, C., Kullig, E., Kuna, M., et al., 2004. Biaxial fracture test of silicon wafers. Advanced Engineering Materials, 6(7):594-598.
[9]He, S., Danyluk, S., 2006. Residual stresses in polycrystalline silicon sheet and their relation to electron-hole lifetime. Applied Physics Letters, 89(11):111909.
[10]He, S., Zheng, T., Danyluk, S., 2004. Analysis and determination of the stress-optic coefficients of thin single crystal silicon samples. Journal of Applied Physics, 96(6):3103-3109.
[11]Hilali, M.M., Gee, J.M., Hacke, P., 2007. Bow in screen-printed back-contact industrial silicon solar cells. Solar Energy Materials and Solar Cells, 91(13):1228-1233.
[12]Huster, F., 2005a. Aluminium-back surface field: bow investigation and elimination. 20th European Photovoltaic Solar Energy Conference and Exhibition, p.635-638.
[13]Huster, F., 2005b. Investigation of the alloying process of screen printed aluminium pastes for the BSF formation on silicon solar cells. 20th European Photovoltaic Solar Energy Conference and Exhibition, p.1466-1469.
[14]ISO (International Organization for Standardization), 2015. Metallic Materials–Instrumented Indentaion Test for Hardness and Materials Parameters, ISO 14577-1:2015. ISO, Geneva.
[15]Li, F., Garcia, V., Danyluk, S., 2006. Full field stress measurements in thin silicon sheet. Proceedings of the Fourth World Conference on Photovoltaic Energy Conversion, 1:363-368.
[16]Möller, H.J., Funke, C., Rinio, M., et al., 2005. Multicrystalline silicon for solar cells. Thin Solid Films, 487(1-2):179-187.
[17]Saha, R., Nix, W.D., 2002. Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Materialia, 50(1):23-38.
[18]Schneider, A., Gerhards, C., Huster, F., et al., 2001. Al BSF for thin screen-printed multi-crystalline Si solar cells. 17th European Photovoltaic Solar Energy Conference and Exhibition, p.1768-1771.
[19]Yasutake, K., Uemno, M., Kawabe, H., et al., 1982. Measurement of residual stress in bent silicon wafers by means of photoluminescence. Japanese Journal of Applied Physics, 21(12):1715-1719.
[20]Yu, L., Jiang, Y., Lu, S., et al., 2012. 3D FEM for sintering of solar cell with boron back surface field based on Solidwork Simulation. International Conference on Mechanical, Industrial, and Manufacturing Engineering, p.81-86.
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