A power distribution system for distributing electric power generated by a wind farm between an AC power transmission link and a DC power transmission link is provided. Both power transmission links connect the wind farm to a substation of a power grid. The power distribution system includes a central wind farm controller and a distribution device. In response to a control signal from the central wind farm controller, the distribution device distributes the generated electrical power between the two power transmission links. It is further described a power transmission system with the above described power distribution system and a method for distributing electric power between an AC power transmission link and a DC power transmission link.