Originated in 1991 by O‘Regan and Grtzel, dye-sensitized solar cells (DSSCs) provide alternative solutions for renewable energy problems. Earlier mathematical models for DSSCs are based on junction solar cells, which was first studied by Chapin et al in 1954. These equations were derived from Shockley’s work on modelling semiconductors in the late 1940s. However, it was pointed out by Cao et al and Gregg that diffusion model is more suitable for modelling DSSCs. Since the study by Sdergren in 1994, the diffusion model has become prevalent in literature and the development of this model by including additional equations to incorporate electrolyte concentrations, time dependence for charge carrier densities and nonlinear diffusivity has shown to capture more complex processes of charge transport within DSSCs. In this paper, we review the development of the diffusion model for the charge carrier densities in a conduction band of DSSCs.

染料敏化太阳能电池 (DSSC) 由 O'Regan 和 Grtzel 于 1991 年创立，为可再生能源问题提供了替代解决方案。DSSC 的早期数学模型基于结太阳能电池，这是由 Chapin等人于 1954年首次研究的。这些方程源自肖克利在 1940 年代后期对半导体建模的工作。然而，Cao等人指出和 Gregg 认为扩散模型更适合模拟 DSSC。自从 Sdergren 在 1994 年进行研究以来，扩散模型在文献中变得普遍，并且通过包含附加方程来合并电解质浓度、电荷载流子密度的时间依赖性和非线性扩散率，该模型的发展表明可以捕获更复杂的电荷传输过程在 DSSC 中。在本文中，我们回顾了 DSSC 导带中电荷载流子密度扩散模型的发展。