The growing number of battery technologies and increasing environmental concerns have accelerated the transition to electric vehicles. As internal combustion engine vehicles are replaced by EVs, the impact of EV charging loads on power system operations has become a significant concern. However, the growing adoption of electric vehicles (EVs) presents a challenge for power grids that cannot be neglected. The high charging loads, particularly from fast charging stations, can negatively impact key distribution network parameters such as voltage stability, reliability, power loss, and harmonics. Ensuring the reliability of distribution networks is paramount for maintaining customer satisfaction in the power system. The charging station is integrated into the grid via a common DC bus, allowing multiple EVs to connect. Each EV is controlled locally, with independent management provided for the power exchange between the AC grid and the DC bus. This study investigates the impact of EV charging on the reliability of the bus distribution system. The analysis is conducted on the IEEE 33 bus test system, which represents a standard radial distribution network, across five different cases of EV charging station placement. It is observed that the system can withstand the placement of DC fast charging stations at strong buses up to a certain level, but placing fast charging stations at weak buses disrupts the smooth operation of the power system. Furthermore, these test results confirm the effectiveness of the reliability index-based approach for the allocation of EV charging stations within a distribution system.