“…The basic structure of the VSC-HVDC is shown in Figure 1 e abc and i sabc are the voltage and line current at the sending-end grid, respectively; θs is the grid voltage phase angle; v d1 and v d2 are the DC voltages at the rectifier end and the inverter end, respectively; i d is the DC line current; V gabc and i gabc are the voltage and current at the receiving-end grid, respectively, and U N and f N are the rated voltage and frequency, respectively; P D , P J , P PD , and P C are the regulated power provided by the droop control, the inertia control, the PD control, and the RPC control, respectively; P 0 and Q are the steady-state active-and reactivepower provided by VSC-HVDC to the receiving-end grid, respectively. Through the phase-locked loop, Liu et al (2022a); Liu et al (2022b), V gabc provides the frequency f, phase θ, and voltage amplitude U at the receiving-end grid, and…”