The hysteresis is an I-V hysteresis where when measuring the I-V characteristics by scanning the the voltage on its terminals, the forward scanning I-V curve is different from the reverse scanning. So, the forward and reverse scanned I-V curves do not coincide on each other even for relatively low scanning rate say 100 mV/s. T see such curves please follow the link:Article Origin of J-V Hysteresis in Perovskite Solar Cells
The hysteresis depends on the solar cell voltage scanning rate. It is so as the voltage scanning rate increases the hysteresis becomes pronounced. The most straight forward for its origin is the large capacitive effect of the perovskite material. One can write for the current in the cell i= Icon + Icapacitive= I cond + C dV/dt, if C is large the current i can be different when dV/dt changes sign.
If this question still concerns you, please have a read to this article here. This article has taken an effort to summarise and in terms theorise the mechanism of hysteresis. It has also suggested possible steps to minimise the phenomenon.
Article Perovskite solar cells: short lifetime and hysteresis behavi...
To simulation of the Hysteresis Index, You need a program to get the "PCE" value for a solar cell and according to that and changing the optical and electrical parameters of materials and thicknesses, You can create different structure and then calculate the index.
The last step is to report the value of Hysteresis Index per different cells