Numerical physical-topological modeling is carried out to optimize the thickness of perovskite solar cells on the basis of the heterostructure TiO2 / CH3CN3PbI3-xClx / Spiro-OMeTAD. The results of the conducted studies showed that the optimum values ​​of the thicknesses of TiO2 and CH3CN3PbI3-xClx heterostructure films, which make it possible to obtain a high coefficient of efficiency of the solar cell, lie in relatively narrow limits. The carried out researches have shown the possibility of effective use of numerical physical-topological modeling for the development of perovskite solar cells, taking into account the features of photogeneration, recombination and transport of charge carriers in real heterostructures.

Keywords: Solar cell, perovskite, titanium dioxide, heterostructure, numerical simulation.

A numerical model of the laser annealing TiO2 film on the TCO / glass substrate with radiation of a wavelength of 1064nm (Nd: YAG laser) to the crystallization and its use in solar cells perovskite. The modeling used a numerical finite difference method for solving a system of one-dimensional unsteady heat conduction differential equations. As a result, laser annealing temperature distribution obtained in the process of modeling the structure of TiO2 / TCO / glass substrate by varying the laser power. It is shown that a high laser power (30-100 watts) is enough for an effective transition organometallic precursor of TiO2 in the crystalline phase of anatase TiO2 (transition temperature of 400-600 °C) for a short period of time (60 sec.) due to the direct absorption of photons laser radiation. It is found that for experimental studies should be used laser power of 30-70 watts, since a higher power (e.g., 100 W) raises the temperature of the substrate above its melting point (for example, for glass 650 ° C).

Keywords: Numerical modeling, laser annealing, TiO2 film, heat equation, solar cell