Abstract: The invention relates a power distribution system (1) like a track lighting system comprising a power supply (2), a power bar (3) comprising several electrical conductors (4, 5, 6) for distributing the power, an electrical load (12) to be powered by the power of the power distribution system, a selector switch (11) connected to the several electrical conductors and to the electrical load, wherein the selector switch is adapted to select via which electrical conductor the power is to be received by the electrical load, and a controlling device (10) for automatically controlling the selector switch. This kind of power distribution system provides a relatively large variability of adapting the power consumption to an actual load situation, which can lead to an improved performance of the power distribution system. In particular, power balancing can be provided in a relatively simple way by automatically controlling the selector switch accordingly.