The high-frequency negative damping effect caused by the time delay of the flexible high voltage direct current (HVDC) transmission system can easily induce the high-frequency resonance (HFR). Thus

the security and stable operation of the system is threatened. In this paper

a universal inter cross-coupled feed forward compensation control strategy for the HFR suppression is proposed. This strategy can make up for the defect that most of the existing suppression strategies which are difficult to adapt to different grid conditions. Firstly

a general form of cross-coupled feed forward compensation control is derived based on the simplified impedance model of the converter station with the influence of phase-locked loop (PLL) ignored. Secondly

the parameter selection ranges that can effectively compensate the high-frequency negative damping effect is given by analyzing the influence of the parameters of the proposed method. Thirdly

the analytical expression of the high-frequency resistive effect of the PLL is derived. Then

the mechanism of the proposed method interacting with the PLL is revealed. Finally

the adaptability of the proposed control to different grid operating conditions is verified by the frequency scanning method and time-domain simulations.