基于分数阶滤波器的三相锁相环技术

doi:10.19595/j.cnki.1000-6753.tces.180866

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摘要

采用复数滤波器（CCF）研究电网同步锁相技术是目前比较流行的方法。为进一步提高锁相环（PLL）的动态性能,利用分数阶控制可以改善系统动态品质这一特性,提出一种将CCF-PLL改为分数阶滤波器（FOF）的PLL算法。设计的前级多重FOF结构会在电网基波正负序（FPC/FNC）及各次谐波处产生谐振尖峰,通过闭环控制,可以精确分离出FPC、FNC和谐波,从而使后级的同步旋转坐标系PLL提取出纯净的频率、相位等信息。为分析所提PLL的动态特性,推导了其线性化数学模型,并在此基础上对系统进行设计,确定其相关参数。研究发现,在相同开环截止频率下,提出的PLL比CCF-PLL具备更优异的动态性能。最后,通过Matlab/Simulink仿真和相关实验验证了该PLL的正确性和良好的动态品质。

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关键词 ：锁相环, 分数阶, 复数滤波器, 动态性能

Abstract：

Using complex coefficient filter (CCF) to study grid synchronization is a popular method at present. In order to further improve the dynamic performance of phase-locked loop (PLL), a new PLL algorithm that changes the CCF-PLL to fractional-order filter (FOF) is put forward by using the characteristic of fractional-order control that can improve the dynamic quality of the system. The designed pre-stage multiple FOF structure can generate the resonance peaks in the positive-/ negative-sequence component (FPC/FNC) and harmonics of the grid fundamental wave. Through the closed-loop control, FPC/FNC and harmonics are precisely separated, so that the pure frequency and phase are extracted by the post-stage synchronous rotating frame PLL. To analyze the dynamic performance of the proposed PLL, its linearized mathematical model is derived, thereby the corresponding system and related parameters are designed. The study shows that with the same open-loop cut-off frequency, the proposed PLL has better dynamic performance than the CCF-PLL. Finally, the proposed PLL is tested by Matlab/Simulink simulation and related experiments, which shows good dynamic behavior.

Key words： Phase-locked loop fractional-order complex coefficient filter dynamic performance

收稿日期: 2018-08-02 出版日期: 2019-06-28

PACS:

TM46

基金资助:

河北省高等学校科学技术研究重点项目（ZD2017081）、国家自然科学基金（61573193）和江苏信息职业技术学院2018年科研课题资助

通讯作者: 漆汉宏男,1968年生,博士,教授,博士生导师,研究方向为电力电子功率变换与控制、新能源发电技术。E-mail: hhqi@ysu.edu.cn

作者简介: 何宇男,1989年生,硕士,讲师,研究方向为电力电子功率变换与控制、新能源发电技术。E-mail: galuohua@163.com

引用本文:

何宇, 漆汉宏, 罗琦, 邓超, 陈洪涛. 基于分数阶滤波器的三相锁相环技术[J]. 电工技术学报, 2019, 34(12): 2572-2583. He Yu, Qi Hanhong, Luo Qi, Deng Chao, Chen Hongtao. A Novel Three-Phase Phase-Locked Loop Method Based on Fractional-Order Filter. Transactions of China Electrotechnical Society, 2019, 34(12): 2572-2583.

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