This thesis work aims to compose a dynamic model of a hydrogen storage, developed in Simulink tool in Matlab environment. The system consists of the simulation of 3 main components: a PEM electrolyser, a metal hydride tank and a PEM fuel cell. The model also includes an heat exchanger to connect the tank cooling system with the fuel cell for better thermal integration of the system, facilitating the desorption of hydrogen from the metal matrix during the use of the fuel cell. The first chapters consist of a statement of the various processes considered in the system and the equations governing them.