Abstract

Impedance-based stability theory is an effective technique in grid-inverter system stability analysis. In existed research based on this theory, sequence impedance models are assumed to have linear behaviour under small-signal operation, and the grid-inverter system can be decoupled into positive- and negative-sequence subsystems. However, this may lead to wrong conclusions if there is cross-coupling over frequency and sequence, which can be caused by phase locking loop (PLL), asymmetric current regulators, and soft dc bus. Here, the cross-coupling will be analysed, and a 2 × 2 analytical admittance matrix model of grid-connected inverter will be derived and validated, which can describe the cross-coupling caused by PLL and asymmetric current regulators. The influence of the cross-coupling on system stability is also discussed.

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