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A New Six-Parameter Model Based on Chebyshev Polynomials for Solar Cells

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  • Shu-xian Lun
  • Jing-shu Sang
  • Ting-ting Guo

Abstract

This paper presents a new current-voltage ( I-V ) model for solar cells. It has been proved that series resistance of a solar cell is related to temperature. However, the existing five-parameter model ignores the temperature dependence of series resistance and then only accurately predicts the performance of monocrystalline silicon solar cells. Therefore, this paper uses Chebyshev polynomials to describe the relationship between series resistance and temperature. This makes a new parameter called temperature coefficient for series resistance introduced into the single-diode model. Then, a new six-parameter model for solar cells is established in this paper. This new model can improve the accuracy of the traditional single-diode model and reflect the temperature dependence of series resistance. To validate the accuracy of the six-parameter model in this paper, five kinds of silicon solar cells with different technology types, that is, monocrystalline silicon, polycrystalline silicon, thin film silicon, and tripe-junction amorphous silicon, are tested at different irradiance and temperature conditions. Experiment results show that the six-parameter model proposed in this paper is an I-V model with moderate computational complexity and high precision.

Suggested Citation

  • Shu-xian Lun & Jing-shu Sang & Ting-ting Guo, 2015. "A New Six-Parameter Model Based on Chebyshev Polynomials for Solar Cells," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, July.
  • Handle: RePEc:hin:jnlmpe:145258
    DOI: 10.1155/2015/145258
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