交流侧电感的取值对有源电力滤波器(Active Power Filter,APF)的补偿效果有重大影响.针对传统设计方法得到交流侧电感取值范围误差较大的问题,利用非线性动力学理论,阐述了一种全新的APF交流侧电感值设计方法.首先建立APF切换系统的精确离散模型.因为APF的强非线性,很难利用该模型得到相应的解析解,因此使用时域分析法迭代计算交流侧电感不同取值时APF补偿电流的数值解;然后通过该数值解分析不同电感值对系统动态特性的影响.在此基础上,根据已知的跟踪指标得到了交流侧电感的合理取值范围.使该取值范围和传统设计方法得到的取值范围进行比较,仿真结果验证了该方法的有效性和合理性.%AC-side inductor exerts great influence on the compensation effect ofAPF. In view of the low precision of the rough range of the AC-side inductance obtained by the traditional design method, a novel design method of AC-side inductance based on the nonlinear dynamics theory is proposed to study the effect of APF influenced by the inductance. Firstly, the discrete mapping model of APF is proposed. Because of the strong nonlinear nature of APF, it is hard to obtain the analytic solution using this model. Therefore, the numerical solution of APF compensation current when obtaining different values of the AC-side inductance is calculated by the time-domain method. Then, the numerical solution is used to study the effect of different inductance values on system dynamic performance. According to the known tracking index, the proper value range of the inductance is obtained. Finally, by comparing these range with the range obtained by the traditional method, the effectiveness and rationality of the above method is proved by the simulation and comparison.
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