The assembly to couple power and heat has at least one fuel cell (2) or internal combustion motor and a heat storage (1) for hot and/or industrial water. The heat store is wholly or partially filled with a latent heat storage material, using phase change slurries (PCS) as an emulsion of water and paraffin in micro-capsules. The heat storage is coupled to an expansion tank (14). The heat storage can be connected to an intermediate circuit containing an additional water heater (9) and a heat exchanger (6).