A converter station for high voltage direct current includes two substantially identical parallel converter branches provided with control systems therefore which limit the control angles of the converters of the branches upwards or downwards. A balancing arrangement is provided to assure equal current distribution between the two converter branches when they are forced so far in one direction that the limit value emitter for the converters of one of the converter branches becomes active. The balancing arrangement includes a device responsive to the difference between the current in the two branches to regulate the control system of the converter of the other branch. This arrangement may include cross connections between the limit value emitters to control converters of both converter branches.