Electric vehicles (EVs) are revolutionary mobility solutions to limit environmental pollution. Increasing EVs negatively impacts power distribution system performance and power supply quality. A significant impact is on the distribution system network, due to which the power supply's quality deteriorates, resulting in increased distribution and transmission losses. As a result, the overall efficiency of the power distribution network is reduced. This study analyzes and discusses the impact of EVs on the 34-bus radial distribution system. In this work, the smooth load curve is achieved by reducing load variance. Here, convex optimization method is used to solve the load variance problem. Further, the improvement in the performance of the distribution system network due to the integration of EVs is investigated. The intended goal is accomplished by connecting the Open DSS software with MATLAB software. For analyzing the various data, Python software is used. Ultimately, this paper improves the load profile and voltage profile by minimizing the load variance.