Two-Dimensional Model for Perovskite Nanorod Solar Cells: A Dark Case Study

Nanorod geometry has witnessed a massive focus in the past few years for enhancing the solar cells performance. It improves the cell efficiency because of the carrier transport perpendicular to light absorption directions. Perovskite materials, such as the methylammonium lead iodide also have attracted great attention because of the low cost, simple manufacture process, and good optical properties. These advantages of both nanorod structures and perovskite materials imply that PNSC is a very promising candidate in energy harvesting applications. This increases the demand for accurate and fast models for the analysis and for the optimization of these cells. In this article, we present an analytical model for nanorod solar cells. The model solves the semiconductor equations (Poisson's equation and continuity equations) in two-dimensional cylindrical coordinates. It is based on using the conformal mapping theory as an approximation for potential and electric field estimation. It also uses separation of variables process in solving the two-dimensional continuity equation for both radial and axial directions. The analytical model was applied on a TiO ₂ /perovskite/spiro-MeOTAD cell to produce the dark current. The results of this model were compared with that of a numerical finite element model and achieved good matching.