This study addresses the problem of locating fast charging stations for electric vehicles in the early stages of infrastructure implementation. The primary objectives are to contextualise the problem and to subsequently develop the existing methodology found in the literature. In particular, this study aims to design an optimal location model for the infrastructure of fast charging stations for electric vehicles, using the city of Barcelona as a case study. The most notable contribution is the implementation of a multi-objective model, applying the weighted sums methodology. Using this approach, multiple solutions can be obtained and used to observe the trade-offs between conflicting objectives, providing valuable information to decision makers. In addition, an alternative outlook is taken with regards to electric vehicle user behaviour; the concept of minimising deviations is introduced into the optimisation problem with an aim to better reflect driver behaviour, and account for all users in the model. The model is first formulated mathematically and then implemented using the GAMS.. The objective of the work is to apply modeling and optimization techniques to design a method for locating public EV charging facilities. This method must take into account the legal framework of the EV charging facilities as well as the EV users characteristics and necessities