For a grid-connected inverter requiring the ac voltage magnitude and the active power control, both vector control and power synchronization control can be applied. The stability comparison based on the dq impedance stability analysis between both control are carried out via three factors including the grid impedance, the inner current loop and the virtual impedance. The dq impedances of the inverter based on both control are derived. The determinant of the impedance ratio matrix is used for the stability analysis. The bode plot of the grid impedance and the inverter impedance are present to assist the stability analysis and explain their interactions. It is found that increasing the grid impedance and the cut-off frequency of the current loop stabilize the inverter with the power synchronization control, which is converse to the vector control. Furthermore, the inverter with the power synchronization control may suffer the instabilities when connecting to a strong grid. The virtual inductor and resistor are proposed to enhance the stability for the vector control and the power synchronization control respectively. The simulation validation using Matlab/Simulink is performed.

中文翻译：

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功率控制并网逆变器的DQ阻抗稳定性分析

对于需要交流电压幅值和有功功率控制的并网逆变器，可以同时应用矢量控制和功率同步控制。两种控制之间基于dq阻抗稳定性分析的稳定性比较是通过电网阻抗、内部电流环路和虚拟阻抗三个因素进行的。导出基于两种控制的逆变器的 dq 阻抗。阻抗比矩阵的行列式用于稳定性分析。电网阻抗和逆变器阻抗的波特图有助于稳定性分析并解释它们的相互作用。研究发现，增加电网阻抗和电流环截止频率可使逆变器稳定，功率同步控制与矢量控制相反。此外，具有功率同步控制的逆变器在连接到强电网时可能会遇到不稳定性。虚拟电感器和电阻器分别用于增强矢量控制和功率同步控制的稳定性。使用 Matlab/Simulink 进行仿真验证。