Sweden is at the forefront of the energy transition to reach carbon neutrality by 2045. Within this context, electric vehicles (EVs) are the most promising solution to lead the transport sector towards fossil freedom. However, while on the transport side, high integration of EVs is a positive step to meeting the energy transition goals, the expansion of electric mobility presents challenges for operators of electric power distribution systems (DS) due to the increased power demand that these vehicles will generate. This work focuses on analyzing the impact of increased shares of plug-in EVs (PEVs) at the low voltage (LV) level. For this, a case study is developed analyzing the effects of PEVs charging on the local 400V DS in Lidingö, Stockholm County. Steady-state power flow analysis for different loading scenarios was performed on a digital twin of the local DS and the different scenarios were built and ran based on stochastic variables involved in the PEVs charging behavior using local empirical dataset. The results obtained for the system studied show that PEV penetration levels (Pl) equal to or greater than 30% could become a concern for the existing systems due to the increase in power demand, specifically on the aggregated peak power. Furthermore, these results provided insights into how to identify possible limitations, bottlenecks, PEV hosting capacity and capacity shortages in the network and can be applied to different DS, which can help the local distribution system operator (DSO) planning for the energy infrastructure for the future.