This application relates to methods and apparatus for control apparatus of a voltage source converter for direct current transmission of electrical power over a transmission line. The control apparatus comprises regulation control for generating a regulation signal for the converter to regulate an electrical parameter of the voltage source converter, such as voltage or power, so as to regulate power transmission over the transmission line. The regulation signal is based on the difference between a measured value of said parameter and a reference value of said parameter, as may be supplied from a reference control block and may be derived from a demand signal indicating the voltage or power demand. The apparatus also includes damping control configured to generate a damping signal for modulating said regulation signal to reduce the effect of resonance within the bandwidth of control of the converter. The damping signal is generated as a function of a measured voltage or current of the transmission line and an impedance value for the transmission line. The damping signal may be high-pass filtered so as to have no substantial impact on steady state operation.