SISO Equivalent of MIMO VSC-Dominated Power Systems for Voltage Amplitude and Phase Dynamic Analyses in Current Control Timescale

High frequency oscillations caused by voltage source converters (VSCs) in current control timescale (less than 20ms) have brought great challenges to the security and stable operation of the VSC-dominated power systems. However, relevant studies on this multi-input multi-output (MIMO) system still lack enough mechanism cognitions of its voltage amplitude/phase dynamics. Thus, this paper will propose a single-input single-output (SISO) equivalent method of this MIMO system to separately study its amplitude/phase dynamics. First, a linearized VSC model based on internal voltage motion equation in current control timescale is derived. This model can explicitly depict VSC's self-characteristic, which is suitable for multi-VSC voltage amplitude/phase dynamic analyses. Then, with reserving and converting the interactions of other outputs into one output, the MIMO system based on this VSC model can be equivalent into the amplitude motion and the phase motion respectively. These two SISO systems are extremely convenient for engineers to study the mechanisms of the voltage amplitude/phase dynamics. Besides, this SISO equivalent method of the MIMO system can also be used to quantitatively analyze the interactions among the multi-VSC. Finally, the application of this method is illustrated in a single VSC system and the time domain simulations validate the correctness of the analyses.