The present paper presents the dynamic modelling of a hybrid thermal/electric energy storage for residential applications. Two systems are considered, which are suitable for application in Continental and Mediterranean climates. Both systems are suitable for the provision of heating, cooling and domestic hot water, but the Continental system is optimized for heating and domestic hot water production, whereas the Mediterranean system is optimized for the covering of cooling demands. The models are realized in Dymola/Modelica environment and are structured according to a modular approach, using only self-developed components or open source libraries. An adsorption module, used for thermal energy storage purposes, a battery pack, used for electrical storage, latent heat storages and heat pumps are the main components modelled. The integration in sub-system and the typical operation during one day under reference conditions are shown, which prove the successful integration of several sub-modules.