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有源电力滤波器(active power filter,APF)的建模问题对其功率变换过程认识及控制器设计有重要意义。基于目前研究广泛的并联电压型APF,建立其等效电压源模型;通过对APF与电力系统间能量交换及功率流动的分析,提出APF频域能量变换的思想,并建立频域能量变换模型;建立其状态空间数学模型,通过变换,证明APF的基波控制分量对频域误差系统呈阻尼特性,从而使APF对频域呈无源性特征,从能量角度解释了APF的工作原理;基于频域能量变换模型提出迭代学习控制策略,并对直流侧电容电压附加PI闭环控制。仿真实验结果证明了该频域能量变换思想及模型的正确性,并验证了所设计控制策略的有效性。
The modeling problem of active power filter (APF) is of great importance to the understanding of power conversion process and controller design. Based on the currently widely researched parallel voltage type APF, the equivalent voltage source model is established. Through the analysis of energy exchange and power flow between APF and power system, the idea of APF frequency energy transformation is put forward and the energy transform model in frequency domain is established. The mathematical model of the state space is established. Through the transformation, it is proved that the fundamental control component of the APF has a damping characteristic to the frequency domain error system, so that the APF has a passive characteristic in the frequency domain and explains the working principle of the APF from an energy perspective. Domain energy transformation model proposed iterative learning control strategy, and the DC side of the capacitive voltage control loop with PI. Simulation results prove the idea of energy transformation in the frequency domain and the correctness of the model, and verify the effectiveness of the proposed control strategy.