TDMA Based Numerical Approach on Modeling of Charge Carrier Transport
and Ion Vacancy Motion in Perovskite Solar Cells
Drift-diffusion models that account for the motion of both electronic
and ionic charges are important tools for explaining the hysteretic
behaviour. Furnishing numerical solutions to such models for realistic
operating conditions is challenging owing to the extreme values of some
of the parameters. We present a finite difference scheme with time step
that provides second order accuracy in the mesh spacing. The method is
able to use realistic parameters values whilst providing high accuracy.
Also, three diagonal matrix approximation (TDMA) method is exploit due
to matrix solve simplification. This method is robust and fast way to
solve. Ion vacancy density, electron concentration, and hole
concentration profiles are calculated in transient time-scale. In
following, built-in potential is varied and profiles are illustrated.
This approach paves the way to have a better insight of device physics
and its related phenomena such as ionic motion, hysteresis.