Abstract An abstract-map-based multi-layer optimization strategy is proposed to achieve an integrated planning of public fast-charging stations (PFCSs) to charge light-duty battery electric vehicles (BEVs) in a given geographical region, aiming to improve application of BEVs and finally enhance social welfare in a long term by optimally locating PFCSs and assigning their installed capacities to maximize the possibility of effectively charging BEVs, minimize PFCSs' infrastructure cost and mitigate negative impacts on both the transportation system and the power system. In the first layer of the proposed multi-layer strategy, the conditions of the transportation system are considered, while in the second layer, the conditions of the electric power system are taken into consideration. Finally in the third layer, an integrated planning of PFCSs is achieved by combining the consideration of both of the first two layers. On each layer from the first to the last layer, all the analysis, methodology, mathematical modeling, and case study are based on an abstract map which is rooted in the actual map of a representative geographical region. After the optimal results based on the abstract map are obtained, they are mapped back to the actual map of the representative geographical region. The results from the same case but considering different conditions, studied on each layer, are compared to prove the effectiveness and advantage of the integrated planning strategy of PFCSs.