A Unified Method of Frequency Oscillation Characteristic Analysis for Multi-VSG Grid-Connected System

This paper addresses the frequency oscillation problem in a parallel-inverter-based grid-connected system. Angular frequency interactions between inverters and the grid exhibit various number of complicated characteristics that seriously threaten the stable operation of the connected power system. In this paper, a unified method of frequency oscillation analysis is proposed to investigate the oscillation problem in a multi-VSG grid-connected system. In this method, the power control model of each grid-connected inverter is equivalent to a two-terminal network by analogy method, which can be described as a "current source" connected in parallel with a reciprocal of "admittance" and then joined in series with a reciprocal of "admittance." Next, considering the influence of grid impedance, the model of the whole grid-connected system is established to reveal the mechanism of multi-VSG angular frequency oscillation. Subsequently, the influence factors of frequency oscillation and its variation law are analyzed through transfer functions, which provide an essential theoretical method for solving the frequency oscillation problem in the current multi-inverter grid-connected engineering application. Finally, we validate the effectiveness and correctness of the small-signal model and the frequency oscillation characteristics by building the MATLAB/Simulink simulation.