引用本文:张展琦,全相军,吴在军,高丙团,王建华.双同步坐标系解耦滤波器复变量建模与分析[J].电力自动化设备,2024,44(5):171-177,184.
ZHANG Zhanqi,QUAN Xiangjun,WU Zaijun,GAO Bingtuan,WANG Jianhua.Modeling and analysis of double synchronous reference frame decoupled filter based on complex variables[J].Electric Power Automation Equipment,2024,44(5):171-177,184.
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双同步坐标系解耦滤波器复变量建模与分析
张展琦, 全相军, 吴在军, 高丙团, 王建华
东南大学 电气工程学院,江苏 南京 210096
摘要:
针对解耦双同步坐标系锁相环(DDSRF-PLL)传统实变量模型阶数较高、序分量响应不易观察、滤波性能评估困难等问题,提出了一种基于复变量的DDSRF-PLL建模方法。首先,建立了其复变量模型,分析了序分量响应特性,该复变量模型表明正序基波输出模型对负序基波分量实现负无穷大的衰减,同时可得到其他频率序分量的衰减增益;然后,基于提出的复变量模型,设计了二阶低通滤波器以显著增强解耦网络的滤波性能,并进一步分析了高阶低通滤波器的可行性与必要性。研究表明采用二阶低通滤波器即可满足大部分场景下的谐波抑制要求,且具有计算量小、模型阶数低、易于数字实现的优点。实验结果验证了所提复变量模型的正确性与有效性。
关键词:  电网同步  双同步坐标系  锁相环  复变量  二阶低通滤波器  高阶低通滤波器
DOI:10.16081/j.epae.202307010
分类号:
基金项目:国家重点研发计划项目(2021YFB2400500)
Modeling and analysis of double synchronous reference frame decoupled filter based on complex variables
ZHANG Zhanqi, QUAN Xiangjun, WU Zaijun, GAO Bingtuan, WANG Jianhua
School of Electrical Engineering, Southeast University, Nanjing 210096, China
Abstract:
Aiming to address the issues of high order of the traditional real-variable model, the difficulty in observing the sequence component response, and the challenging evaluation of filtering performance for decoupled double synchronous reference frame phase locked loop(DDSRF-PLL),a complex-variable based modeling method is proposed. A complex-variable based model is established and the characteristics of sequence component response are analyzed. This model demonstrates that the positive-sequence fundamental output model can achieve infinite attenuation for negative-sequence fundamental components while obtaining attenuation gain for other frequency sequence components. Based on the proposed complex-variable model, a second-order low-pass filter is designed to significantly enhance the filtering performance of the decoupling network, and the feasibility and necessity of high-order low-pass filters are also analyzed. Study shows that using a second-order low-pass filter can meet most of the harmonic suppression requirements in various scenarios and has advantages such as low computational complexity, low model order, and ease of digital implementation. Experimental results verify the correctness and effectiveness of the proposed complex-variable model.
Key words:  grid synchronization  double synchronous reference frame  phase locked loops  complex variables  second-order low-pass filter  high-order low-pass filter

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