基于频率自适应的双二阶巴特沃斯数字滤波方法
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摘要
频率波动、谐波未知的畸变电网导致相位和频率检测存在稳态误差,从而影响滤波器的滤波性能。针对上述问题,提出一种基于频率自适应的双二阶巴特沃斯数字滤波方法,该方法采用两个双二阶巴特沃斯带通滤波器,可实时检测电网电压的相位和频率并提取基波信号;分析巴特沃斯带通滤波器的特性及频率自适应滤波算法的结构;阐述该频率自适应滤波算法在电压锁相环和特定次谐波检测中的应用。仿真与实验结果验证了基于频率自适应的双二阶巴特沃斯数字滤波方法的有效性。该方法能够精确检测电网电压的相位和频率,并能有效消除因电网频率波动、电网畸变而导致的相位和频率检测误差,而且适用于单相或三相系统。
Distorted grid with frequency fluctuation and unknown harmonic causes steady-state error in phase and frequency detection, which affects performance of the filter. To solve these problems, a digital biquadratic Butterworth filter method based on frequency self-adaptation is proposed. This design uses two biquadratic Butterworth band-pass filters to real-time detect phase and frequency of the grid voltage and extract fundamental component. The characteristics of Butterworth band-pass filter and the structure of frequency self-adaptive filtering algorithm are analyzed. The application of the algorithm in voltage phase-locked loop and specific harmonic detection is introduced. The simulation and experimental result show that the digital biquadratic butterworth filter method based on frequency self-adaptation is effective. The method can accurately detect the phase and frequency of the grid voltage and effectively eliminate detection error caused by frequency fluctuations and distortion of the grid. It works in single-phase or three-phase system.
Distorted grid with frequency fluctuation and unknown harmonic causes steady-state error in phase and frequency detection, which affects performance of the filter. To solve these problems, a digital biquadratic Butterworth filter method based on frequency self-adaptation is proposed. This design uses two biquadratic Butterworth band-pass filters to real-time detect phase and frequency of the grid voltage and extract fundamental component. The characteristics of Butterworth band-pass filter and the structure of frequency self-adaptive filtering algorithm are analyzed. The application of the algorithm in voltage phase-locked loop and specific harmonic detection is introduced. The simulation and experimental result show that the digital biquadratic butterworth filter method based on frequency self-adaptation is effective. The method can accurately detect the phase and frequency of the grid voltage and effectively eliminate detection error caused by frequency fluctuations and distortion of the grid. It works in single-phase or three-phase system.
引文
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[10]WANG Yifei,LI Yunwei.Three-phase cascaded delayed signal cancellation PLL for fast selective harmonic detection[J].IEEE Transactions on Industrial Electronics,2013,60(4):1452-1454.
[11]杨仁增,张光先.谐波畸变电网下的频率自适应锁相方法[J].中国电机工程学报,2013,33(16):144-150.YANG Renzeng,ZHANG Guangxian.Frequency adaptive PLL under distorted grid conditions[J].Proceedings of the CSEE,2013,33(16):144-150(in Chinese).
[12]曾光,王嘉宁,李美娜.用于动态无功补偿检测的有源滤波器设计[J].电力电子技术,2004,38(3):11-13.ZENG Guang,WANG Jianing,LI Meina.Design of active filter for static var compensation(SVC)measurement[J].Power Electronics,2004,38(3):11-13(in Chinese).
[13]高钟毓,苑春法,萧蕴诗.巴特沃斯数字滤波器在自动测试中的应用[J].航空学报,1987,8(6):282-283.GAO Zhongyu,YUAN Chunfa,XIAO Yunshi.The application of the Butterworth digital filter in automatic measurements[J].Acta Aeronautica Et Astronautica Sinca,1987,8(6):282-283(in Chinese).
[14]WILLIAMS A B.电子滤波器设计手册[M].北京:电子工业出版社,1986:18-37.
[15]JOHNSON D E.有源滤波器精确设计手册[M].北京:电子工业出版社,1984:95-104.
[16]康兰.用于SVC的无功电流检测方法的应用研究[D].西安:西安理工大学,2009.KANG Lan.An applied research on reactive current detection methods based on instantaneous reactive power theory[D].Xi’an:Xi’an University of Technology,2009(in Chinese).
[2]姜齐荣,王亮,张春朋,等.基于频率和初相角解耦检测的新型锁相环[J].电力系统自动化,2013,37(18):113-115.JIANG Qirong,WANG Liang,ZHANG Chunpeng,et al.A new phase-locked loop based on decoupled of frequency and initial phase angle[J].Automation of Electric Power Systems,2013,37(18):113-115(in Chinese).
[3]GENG H,SUN J B,YANG G.Modeling and implementation of an all digital phase-locked-loop for grid-voltage phase detection[J].IEEE Transactions on Industrial Informatics,2013,9(2):772-774.
[4]张斌,张东来.电力系统自适应基波提取与频率跟踪算法[J].中国电机工程学报,2011,31(25):82-83.ZHANG Bin,ZHANG Donglai.Adaptive fundamental component extraction and frequency tracking algorithm for power systems[J].Proceedings of the CSEE,2011,31(25):82-83(in Chinese).
[5]陈平,李庆民.基于数学形态学的数字滤波器设计与分析[J].中国电机工程学报,2005,25(11):63-65.CHEN Ping,LI Qingmin.Design and analysis of mathematical morphology-based digital filters[J].Proceedings of the CSEE,2005,25(11):63-65(in Chinese).
[6]袁兆祥,郑建勇,胡敏强,等.有源滤波器中新型检测滤波器的设计[J].中国电机工程学报,2008,28(9):46-48.YUAN Zhaoxiang,ZHENG Jianyong,HU Minqiang,et al.Design of a novel detection filter of active power filter[J].Proceedings of the CSEE,2008,28(9):46-48(in Chinese).
[7]童力,邹旭东,张允,等.基于自适应滤波的单相统一电能质量控制器研究[J].中国电机工程学报,2011,31(24):12-14.TONG Li,ZOU Xudong,ZHANG Yun,et al.Research of single-phase united power quality conditioner based on adaptive filter[J].Proceedings of the CSEE,2011,31(24):12-14(in Chinese).
[8]郭晓瑞,郭吉丰,龙英文.三相全数字频率自适应闭环锁相技术[J].电力自动化设备,2013,33(2):81-84.GUO Xiaorui,GUO Jifeng,LONG Yingwen.A full digital three-phase closed loop lock phase technology of adative frequency[J].Electric Power Automation Equipment,2013,33(2):81-84(in Chinese).
[9]FELICE L,POMPEO M,GIULIANO R.Robust and fast three-phase PLL tracking system[J].IEEE Transactions on Industrial Electronics,2011,58(1):221-223.
[10]WANG Yifei,LI Yunwei.Three-phase cascaded delayed signal cancellation PLL for fast selective harmonic detection[J].IEEE Transactions on Industrial Electronics,2013,60(4):1452-1454.
[11]杨仁增,张光先.谐波畸变电网下的频率自适应锁相方法[J].中国电机工程学报,2013,33(16):144-150.YANG Renzeng,ZHANG Guangxian.Frequency adaptive PLL under distorted grid conditions[J].Proceedings of the CSEE,2013,33(16):144-150(in Chinese).
[12]曾光,王嘉宁,李美娜.用于动态无功补偿检测的有源滤波器设计[J].电力电子技术,2004,38(3):11-13.ZENG Guang,WANG Jianing,LI Meina.Design of active filter for static var compensation(SVC)measurement[J].Power Electronics,2004,38(3):11-13(in Chinese).
[13]高钟毓,苑春法,萧蕴诗.巴特沃斯数字滤波器在自动测试中的应用[J].航空学报,1987,8(6):282-283.GAO Zhongyu,YUAN Chunfa,XIAO Yunshi.The application of the Butterworth digital filter in automatic measurements[J].Acta Aeronautica Et Astronautica Sinca,1987,8(6):282-283(in Chinese).
[14]WILLIAMS A B.电子滤波器设计手册[M].北京:电子工业出版社,1986:18-37.
[15]JOHNSON D E.有源滤波器精确设计手册[M].北京:电子工业出版社,1984:95-104.
[16]康兰.用于SVC的无功电流检测方法的应用研究[D].西安:西安理工大学,2009.KANG Lan.An applied research on reactive current detection methods based on instantaneous reactive power theory[D].Xi’an:Xi’an University of Technology,2009(in Chinese).