基于变分模态分解的电力系统泛频带振荡辨识方法
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摘要
振荡问题已成为现代电网面临的重要问题之一,电力系统中多种类型的振荡可能同时出现且频段跨度极大。针对含泛频带振荡模态的信号,首先通过带通滤波器实现不同频段信号的分离,再利用有高噪声鲁棒性的变分模态分解(Variational Mode Decomposition, VMD)方法提取各个振荡模态信号,最后通过Prony算法实现对不同模态参数的辨识。仿真与实际算例分析表明,该方法能够对信号中不同类别振荡模态进行有效区分与提取,精确识别出每个模态的信息。无论针对已发生剧烈振荡的信号或是含有潜在振荡的类噪声信号,该方法均能有效地进行模态辨识。
Oscillation is one of the most important stability problems of modern power system. In a power system, multiple types of oscillation crossing a broad-band may occur at a same time. In this paper, the mode identification for broad-band oscillation signal is proposed. First, the signal is decomposed to signals of different frequency bands by band pass filters. Then, the mode signals of the decomposed signals are extracted by using Variational Mode Decomposition(VMD) method. The mode parameters can be identified from the mode signals by Prony algorithm. The simulation and case study show that this method can distinguish and extract different kinds of oscillation modes of signals effectively and identify each mode's information accurately. It can accurately identify mode information from both oscillation signal and damped oscillation in ambient noise.
Oscillation is one of the most important stability problems of modern power system. In a power system, multiple types of oscillation crossing a broad-band may occur at a same time. In this paper, the mode identification for broad-band oscillation signal is proposed. First, the signal is decomposed to signals of different frequency bands by band pass filters. Then, the mode signals of the decomposed signals are extracted by using Variational Mode Decomposition(VMD) method. The mode parameters can be identified from the mode signals by Prony algorithm. The simulation and case study show that this method can distinguish and extract different kinds of oscillation modes of signals effectively and identify each mode's information accurately. It can accurately identify mode information from both oscillation signal and damped oscillation in ambient noise.
引文
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[15]李宽,李兴源,胡楠,等.基于经验模态分解自适应滤波的次同步振荡ESPRIT分析[J].电力系统保护与控制,2012,40(13):18-23.LI Kuan,LI Xingyuan,HU Nan,et al.ESPRIT analysis of subsynchronous oscillation based on the empirical mode decomposition self-adaptive filter[J].Power System Protection and Control,2012,40(13):18-23.
[16]张煜林,陈红卫.基于CEEMD-WPT和Prony算法的谐波间谐波参数辨识[J].电力系统保护与控制,2018,46(12):115-121.ZHANG Yulin,CHEN Hongwei.Parameter identification of harmonics and inter-harmonics based on CEEMD-WPT and Prony algorithm[J].Power System Protection and Control,2018,46(12):115-121.
[17]WANG Shen,HUANG Songling,WANG Qing,et al.Mode identification of broadband Lamb wave signal with squeezed wavelet transform[J].Applied Acoustics,2017,125:91-101.
[18]任子晖,刘昊岳,徐进霞.基于小波变换和改进Prony方法的电能质量扰动分析[J].电力系统保护与控制,2016,44(9):122-128.REN Zihui,LIU Haoyue,XU Jinxia.Power quality disturbance analysis based on wavelet transform and improved Prony method[J].Power System Protection and Control,2016,44(9):122-128.
[19]潘晴,冉福星,李雅昆.基于EMD的前后置滤波语音增强算法[J].河南师范大学学报(自然科学版),2018,46(3):33-39.PAN Qing,RAN Fuxing,LI Yakun.Speech enhancement algorithm based on EMD for pre and post filter[J].Journal of Henan Normal University(Natural Science Edition),2018,46(3):33-39.
[20]蒋平,史豪,吴熙.风电功率波动引发的强迫振荡扰动源定位方法[J].电力工程技术,2018,37(5):1-6.JIANG Ping,SHI Hao,WU Xi.Localizing disturbance source of power system forced oscillation caused by wind power fluctuation[J].Electric Power Engineering Teachnology,2018,37(5):1-6.
[21]徐琪,徐箭,施微,等.基于奇异值分解的含风电电力系统强迫振荡分析[J].中国电机工程学报,2016,36(18):4817-4827,5105.XU Qi,XU Jian,SHI Wei,et al.The forced oscillation analysis of wind integrated power systems based on singular value decomposition[J].Proceedings of the CSEE,2016,36(18):4817-4827,5105.
[22]DRAGOMIRETSKIY K,ZOSSO D.Variational mode decomposition[J].IEEE Transactions on Signal Processing,2014,62(3):531-544.
[23]HAUER J F,DEMEURE C J,SCHARF L L.Initial results in Prony analysis of power system response signals[J].IEEE Transactions on Power Systems,1990,5(1):80-89.
[24]OUIBRAHIM H.Prony,Pisarenko,and the matrix pencil:a unified presentation[J].IEEE Transactions on Acoustics,Speech,and Signal Processing,1989,37(1):133-134.
[2]谢小荣,刘华坤,贺静波,等.电力系统新型振荡问题浅析[J].中国电机工程学报,2018,38(10):2821-2828,3133.XIE Xiaorong,LIU Huakun,HE Jingbo,et al.On new oscillation issues of power systems[J].Proceedings of the CSEE,2018,38(10):2821-2828,3133.
[3]段贵钟,秦文萍,逯瑞鹏,等.考虑风电接入与负荷不确定性的静态电压稳定性分析[J].电力系统保护与控制,2018,46(12):108-114.DUAN Guizhong,QIN Wenping,LU Ruipeng,et al.Static voltage stability analysis considering the wind power and uncertainty of load[J].Power System Protection and Control,2018,46(12):108-114.
[4]ZHANG Xinran,LU Chao,LIU Shichao,et al.A review on wide-area damping control to restrain inter-area low frequency oscillation for large-scale power systems with increasing renewable generation[J].Renewable&Sustainable Energy Reviews,2016,57:45-58.
[5]李生虎,孙琪,石雪梅,等.基于区域极点配置的风电系统弱阻尼低频振荡模式抑制[J].电力系统保护与控制,2017,45(20):14-20.LI Shenghu,SUN Qi,SHI Xuemei,et al.Suppression of weakly damped low-frequency modes of wind power system based on regional pole placement[J].Power System Protection and Control,2017,45(20):14-20.
[6]高海翔,伍双喜,苗璐,等.发电机组引发电网功率振荡原因及其抑制措施研究综述[J].智慧电力,2018,46(7):49-55,66.GAO Haixiang,WU Shuangxi,MIAO Lu,et al.Overview of reasons for generator-induced power oscillations&its suppression measures[J].Smart Power,2018,46(7):49-55,66.
[7]SURIYAARACHCHI D H R,ANNAKKAGE U D,KARAWITA C,et al.A Procedure to study subsynchronous interactions in wind integrated power systems[J].IEEE Transactions on Power Systems,2013,28(1):377-384.
[8]KARAAGAC U,FARIED S O,MAHSEREDJIAN J,et al.Coordinated control of wind energy conversion systems for mitigating subsynchronous interaction in DFIG-based wind farms[J].IEEE Transactions on Smart Grid,2014,5(5):2440-2449.
[9]崔亚辉,张俊杰,赵宗彬,等.高压直流输电超临界600 MW机组次同步振荡扭振模型及仿真[J].热力发电,2016,45(6):106-110.CUI Yahui,ZHANG Junjie,ZHAO Zongbin,et al.Subsynchronous oscillation torsional vibration model and simulation for a supercritical 600 MW unit with high voltage direct current transmission[J].Thermal Power Generation,2016,45(6):106-110.
[10]张帆,张东辉,柳勇军,等.鲁西背靠背混合直流输电工程引发次同步振荡的风险评估及抑制方法研究[J].智慧电力,2017,45(4):30-33,43.ZHANG Fan,ZHANG Donghui,LIU Yongjun,et al.Risk assessment and suppression method study on sub-synchronous oscillation resulted from Luxi mixed back-to-back HVDC project[J].Smart Power,2017,45(4):30-33,43.
[11]徐衍会,曹宇平.直驱风机网侧换流器引发次/超同步振荡机理研究[J].电网技术,2018,42(5):1556-1564.XU Yanhui,CAO Yuping.Research on mechanism of sub/sup-synchronous oscillation caused by GSCcontroller of direct-drive permanent magnetic synchronous generator[J].Power System Technology,2018,42(5):1556-1564.
[12]WANG Henan,ZHENG Chao,REN Jie,et al.Review on mechanism and analysis methods of low frequency oscillation in power system[J].Advanced Materials Research,2014,986-987:2010-2013.
[13]WADDUWAGE D P,ANNAKKAGE U D,NARENDRAK.Identification of dominant low-frequency modes in ring-down oscillations using multiple Prony models[J].IET Generation,Transmission and Distribution,2015,9(15):2206-2214.
[14]金涛,刘对.基于改进去噪性能的Prony算法电网低频振荡模态辨识研究[J].电机与控制学报,2017,21(5):33-41.JIN Tao,LIU Dui.Power grid low frequency oscillation recognition based on advanced Prony algorithm with improved denoising feature[J].Electric Machines and Control,2017,21(5):33-41.
[15]李宽,李兴源,胡楠,等.基于经验模态分解自适应滤波的次同步振荡ESPRIT分析[J].电力系统保护与控制,2012,40(13):18-23.LI Kuan,LI Xingyuan,HU Nan,et al.ESPRIT analysis of subsynchronous oscillation based on the empirical mode decomposition self-adaptive filter[J].Power System Protection and Control,2012,40(13):18-23.
[16]张煜林,陈红卫.基于CEEMD-WPT和Prony算法的谐波间谐波参数辨识[J].电力系统保护与控制,2018,46(12):115-121.ZHANG Yulin,CHEN Hongwei.Parameter identification of harmonics and inter-harmonics based on CEEMD-WPT and Prony algorithm[J].Power System Protection and Control,2018,46(12):115-121.
[17]WANG Shen,HUANG Songling,WANG Qing,et al.Mode identification of broadband Lamb wave signal with squeezed wavelet transform[J].Applied Acoustics,2017,125:91-101.
[18]任子晖,刘昊岳,徐进霞.基于小波变换和改进Prony方法的电能质量扰动分析[J].电力系统保护与控制,2016,44(9):122-128.REN Zihui,LIU Haoyue,XU Jinxia.Power quality disturbance analysis based on wavelet transform and improved Prony method[J].Power System Protection and Control,2016,44(9):122-128.
[19]潘晴,冉福星,李雅昆.基于EMD的前后置滤波语音增强算法[J].河南师范大学学报(自然科学版),2018,46(3):33-39.PAN Qing,RAN Fuxing,LI Yakun.Speech enhancement algorithm based on EMD for pre and post filter[J].Journal of Henan Normal University(Natural Science Edition),2018,46(3):33-39.
[20]蒋平,史豪,吴熙.风电功率波动引发的强迫振荡扰动源定位方法[J].电力工程技术,2018,37(5):1-6.JIANG Ping,SHI Hao,WU Xi.Localizing disturbance source of power system forced oscillation caused by wind power fluctuation[J].Electric Power Engineering Teachnology,2018,37(5):1-6.
[21]徐琪,徐箭,施微,等.基于奇异值分解的含风电电力系统强迫振荡分析[J].中国电机工程学报,2016,36(18):4817-4827,5105.XU Qi,XU Jian,SHI Wei,et al.The forced oscillation analysis of wind integrated power systems based on singular value decomposition[J].Proceedings of the CSEE,2016,36(18):4817-4827,5105.
[22]DRAGOMIRETSKIY K,ZOSSO D.Variational mode decomposition[J].IEEE Transactions on Signal Processing,2014,62(3):531-544.
[23]HAUER J F,DEMEURE C J,SCHARF L L.Initial results in Prony analysis of power system response signals[J].IEEE Transactions on Power Systems,1990,5(1):80-89.
[24]OUIBRAHIM H.Prony,Pisarenko,and the matrix pencil:a unified presentation[J].IEEE Transactions on Acoustics,Speech,and Signal Processing,1989,37(1):133-134.