【摘要】 近年来，复数滤波器(complexcoefficientfilter, CCF)在电网同步技术的研究中备受关注。然而，基于CCF的锁相环(phase locked loop, PLL)在数学模型和动态性能上均与实数滤波器型PLL基本无异。为此，提出一种前置分数阶CCF的三相PLL方案。首先，利用分数阶算子构造前级滤波结构，采用极点配置法确定阶次的取值范围，并论证该结构可以准确分离电网的基波正负序分量。其次，对基于分数阶CCF的PLL进行线性化数学建模，在此模型上分析整个PLL系统的控制性能，且采取三阶最小谐振峰值设计方法整定控制器参数。最后，进行仿真和对比实验验证。结果表明：相比现有的CCF-PLL，所提PLL在电网变化时的动态指标更优、动态品质更佳。更多还原

【Abstract】 In recent years, the complex coefficient filter(CCF) has received a lot of research attention in grid synchronization technology. However, a CCF-based phase locked loop(PLL) is basically similar to the PLL based on real coefficient filters in terms of mathematical models and dynamic performance. Thus, a three-phase PLL method with a front-up fractional-order CCF is put forward. First, by using fractional-order operators to construct a pre-stage filtering structure, pole assignment is used to determine the order’s value range, and it is shown that this structure can precisely separate the grid’s fundamental positive-and negative-sequence components. Secondly, linear mathematical modeling is conducted for fractional-order CCF-based PLL. The control performance of the entire PLL system is analyzed, with the third-order least resonance peak correction method being used to set up the controller’s parameters. Finally, simulations and comparative experiments are performed. The results show that the proposed PLL can deliver better dynamic indices and quality than the existing CCF-PLL during grid changes.更多还原