Electric vehicles (EVs) are increasingly becoming integral to urban transportation, necessitating efficient charging infrastructures. This review paper analyzes the impact of cost-based smart charging strategies on urban lowvoltage power distribution networks. The study investigates various smart charging protocols and their implications for grid stability, energy management, and economic feasibility. Key topics include peak load management, demand response mechanisms, tariff structures, and integration of renewable energy sources. Insights from empirical studies and simulation models are synthesized to assess the effectiveness and challenges of cost-based smart charging solutions. The review highlights opportunities for optimizing charging behaviors to mitigate grid constraints while promoting sustainable urban mobility.