An accurate photovoltaic (PV) module electrical model based on the Shockley diode equation is presented. The model includes a photo-current source, a single diode junction, and series resistance, with temperature dependencies. It is used to evaluate the maximum power point (MPP) under varying temperature and insolation levels. The model is implemented in MATLAB to compare different MPPT converter topologies. The model is applied to a typical 60W PV module, the Solarex MSX60, to simulate its I-V characteristics under different irradiance and temperature conditions. The model includes temperature-dependent parameters such as the photo-current and saturation current, and series resistance. The model is validated against manufacturer data and shows good agreement. The study compares three configurations: direct connection to a battery, a buck converter MPPT, and a boost converter MPPT. The boost converter is shown to have a slight advantage over the buck converter, particularly at low light levels, as it can always track the MPP. The direct connection is found to be inferior in all cases. The results show that the boost converter achieves a matching efficiency of 100%, while the buck converter achieves 100% efficiency except under low light conditions. The direct connection has lower efficiency due to mismatch between the MPP and battery voltages. The boost converter's ability to always track the MPP makes it slightly more efficient, although the difference is small in practice. The study concludes that the boost converter is a better choice for MPPT applications due to its ability to track the MPP under all conditions.An accurate photovoltaic (PV) module electrical model based on the Shockley diode equation is presented. The model includes a photo-current source, a single diode junction, and series resistance, with temperature dependencies. It is used to evaluate the maximum power point (MPP) under varying temperature and insolation levels. The model is implemented in MATLAB to compare different MPPT converter topologies. The model is applied to a typical 60W PV module, the Solarex MSX60, to simulate its I-V characteristics under different irradiance and temperature conditions. The model includes temperature-dependent parameters such as the photo-current and saturation current, and series resistance. The model is validated against manufacturer data and shows good agreement. The study compares three configurations: direct connection to a battery, a buck converter MPPT, and a boost converter MPPT. The boost converter is shown to have a slight advantage over the buck converter, particularly at low light levels, as it can always track the MPP. The direct connection is found to be inferior in all cases. The results show that the boost converter achieves a matching efficiency of 100%, while the buck converter achieves 100% efficiency except under low light conditions. The direct connection has lower efficiency due to mismatch between the MPP and battery voltages. The boost converter's ability to always track the MPP makes it slightly more efficient, although the difference is small in practice. The study concludes that the boost converter is a better choice for MPPT applications due to its ability to track the MPP under all conditions.