A storage system with platforms for storing items, which are movable along a prescribed path, features an internal electrical power distribution system for supplying electrical power at each of the movable platforms to operate electrical devices, such as refrigerators or chargers. The power distribution system comprises a set of distribution terminals electrically connected to an external electrical power source, such as mains power, which extend along respective paths which follow the prescribed path of movement of the platforms. Further, the distribution system comprises a plurality of electrical bridging assemblies respectively bridging between the platforms and the distribution terminals. The electrical bridging assemblies are mechanically connected in fixed relation to the platforms and connected in movable electrical contact with the distribution terminals.