弱电网条件下多APF并网交互影响分析

多有源电力滤波器（APF）并入区域配电网时，控制回路间存在复杂的负交互影响，造成APF补偿性能下降，对系统的稳定性产生危害。首先基于诺顿等效电路搭建弱电网条件下多APF并网数学模型，然后结合动态相对增益矩阵（DRGA）原理，提出一种定量分析多APF控制回路间交互影响程度的方法，能够基于不同频率区间分析交互影响程度与控制回路参数及弱电网等效电感间的定量关系。最后利用MATLAB/Simulink平台搭建并网仿真系统模型，时域仿真结果与理论分析一致，验证了该方法的有效性。

Analysis on Interactive Influences among Multiple APFs Connected to Weak-structured Power System

When multiple active power filters (APF) are incorporated into the regional distribution network, there are complex negative interaction effects among the control circuits, resulting in the decline of APF compensation performance and harm to the stability of power system. Firstly, a multi-APF grid-connected mathematical model under the condition of weak power grid is established based on NORTON equivalent circuit. And then, combined with the dynamic relative gain array (DRGA) principle, a quantitative analytical method is proposed for analyzing the interaction degree between multiple APF control circuits, which can analyze the quantitative relationship between the interaction degree, the control circuit parameters and the weak grid equivalent inductance based on different frequency intervals. Finally, the MATLAB/Simulink platform is used to build a grid-connected simulation system model. The time-domain simulation results are consistent with the theoretical analysis, which verifies the effectiveness of the proposed method.