The current transportation sector has increasingly transitioned to incorporating more electric vehicles (EVs) in the quest to decarbonise the sector. Electric vehicles have emerged as a prospective solution to reducing carbon emissions and the dependency on fossil fuels. The global focus, especially for capital cities like Windhoek, has been to incorporate electric vehicles into their vehicle fleet. Namibia committed itself to at least 10,000 EVs by 2030 at the United Nations Climate Change Conference (COP26) in Glasgow. The number was later increased to 96,000 EVs. The EVs require access to charging facilities that are connected either to solar energy systems or the electric grid power system. In the case of Windhoek, the charging stations are mostly powered from the City of Windhoek grid power network. The increased EV utilisation on the City of Windhoek (CoW) power network poses several challenges, among which include increased load demand and overloading of distribution transformers. Without forecasted planning, the increased load due to EV charging is likely to cause increased electricity infrastructure stress during peak hours. Over time, the City of Windhoek network could experience voltage fluctuations and poor power factors that could eventually lead to the risk of grid collapse. The mixed method approach involved data collection and simulation in DIgSILENT Power Factory with the goal to test the EV penetration levels under different distribution scenarios: uniform, clustered, and income-based. The simulation model considered 10,000 and 96,500 EV penetration levels, where analysis of peak loads, voltage stability and transformer loadings are considered for the power network. The results show a significant rise in peak load as EV penetration increases for the 96,500 EVs and a moderate increment for the 10,000 EV penetration with only 17.2% at full penetration. For uniform distribution, at 25% penetration of 96,500 EVS, the peak load increased by 41.7%. At 50% penetration, the peak load increased to 83.5%. At 75% penetration, the peak load increased by 125.5% and at 100% penetration, the peak load reached 167.2% increment. In terms of voltage stability, small deviations in per unit values were observed in clustered cases with 96,500 EVs. Transformer loadings increased with higher EV penetration. The study highlights the significant impact of EV adoption on the City of Windhoek power network. With higher EV penetration, the network will need infrastructural improvements and an in-depth demand-side management study for future research. The study also proposes the CoW to incorporate solar powered charging stations to mitigate the challenges mentioned.