Existing oscillation suppression strategies based on parameter tuning involve complex modeling processes, and their parameter adjustment ranges are constrained by the fundamental frequency performance. Meanwhile, oscillation suppression strategies based on control structure optimization fail to meet the suppression requirements under varying oscillation frequency conditions. Therefore, neither approach can achieve rapid and stable suppression of oscillations in permanent magnet synchronous generator (PMSG) connected voltage source converter-based multi-terminal direct current (VSC-MTDC) transmission systems under diverse operating conditions and scenarios. To address this problem, the response characteristics of different control system links under disturbances are analyzed, revealing the mechanism by which sending-end disturbances induces oscillatory instability. Based on the growth rates of interaction energy amplitudes between subsystems, the dominant interaction energy components responsible for oscillatory instability are identified. Then, using the output power of the static var generator and super capacitor as feedback signals, a control strategy is proposed to regulate the reference values of their inner current loops and compensate for the dominant interaction energy components. By suppressing the increasing of stored energy, this method can quickly suppress the oscillation. Simulation tests conducted on an RT-LAB semi-physical platform verify that, the proposed method can effectively suppress oscillations caused by sending-end disturbances within hundreds of milliseconds, while preserving the fundamental-frequency response characteristics of system power and voltage.