Free-floating electrical scooters (ES) have become major players in short-distance transportation. The reason for their success lies in the time saving and the freedom given by the self- service vehicles. Their key element is the Lithium Ion battery, which affects the overall performance and account for about one-third of the total ES cost [2]. The scope of this work has been to develop a battery model to be applied to the case of the management of an e-scooter free-floating fleet. Random daily usage of the fleet has been simulated by the use of Markov processes, while the battery has been modeled with Modelica, a language particularly suited for designing 0D/1D models by use of differential equations.The validation of the model has been performed with respect to the Battery NASA Prognostic Dataset [5], which has been extensively used in many scientific publications [6], [7].