基于最小二乘法和时频原子变换的谐波/间谐波测量算法

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摘要提出了最小二乘法与时频原子变换相结合的谐波/间谐波测量方法。应用最小二乘法对整个测量频段扫频, 获取谐波/间谐波分量的个数和大致频率。依次对各个分量跟踪配置时频原子变换对应的带通滤波器, 精确测量其频率和幅值。时频原子变换是具有自适应复带通滤波特性的新型时频分析方法, 其频窗宽度与频窗中心相互解耦, 可以灵活调整而不受窗函数中心频率的限制。通过构造频窗互不交叉的复带通滤波器来抑制频率邻近分量之间的干扰, 同时能在非同步采样条件下抑制基波频率波动对测量精度的影响。仿真结果表明该方法具有测量精度高、计算量小、抗噪性能好等优点。

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关键词 ：电力系统谐波, 间谐波, 最小二乘法, 时频原子变换, 复带通滤波器

Abstract：A new harmonic/inter-harmonic detecting method is presented in this paper, which is based on least-square method and time-frequency transform (TFT). In the first step of approach, least-square algorithm is used to obtain the number and approximate frequency of harmonic and inter-harmonics by scanning the whole frequency band. Then, TFT is applied to detect harmonics & interharmonics’ accurate frequency and amplitude of each component through configuration of complex band pass filter(CBPF) corresponding to TFT. TFT is a novel time frequency analysis method with the characteristic of adaptive complex band pass filter. It decouples the center and the width of frequency window, so the the width of frequency can be adjusted freely without the restriction from the center frequency window. Mutually uncrossed CBPF is constructed to inhibit interference of adjacent frequency component. Also, it can inhibit the influence of fundamental frequency’s fluctuation on measuring accuracy under asynchronous sampling. The simulation results indicate that this method has the advantage of high detecting accuracy, low calculation amount and great anti-noise performance.

Key words： Power system harmonics inter-harmonics least-squares algorithm time frequency transform(TFT) complex band pass filter(CBPF)

收稿日期: 2010-03-30 出版日期: 2014-03-07

PACS:

TM714

基金资助:国家自然科学基金资助项目(50677044)

作者简介: 曹健男, 1984年生, 博士研究生, 研究方向为电力系统自动化。林涛男, 1969年生, 教授, 博士生导师, 主要研究方向包括电能质量分析与控制、电力系统运行与控制、电力系统继电保护与自动装置、新能源发电与智能电网等。

引用本文:

曹健, 林涛, 徐遐龄, 张蔓, 刘林. 基于最小二乘法和时频原子变换的谐波/间谐波测量算法[J]. 电工技术学报, 2011, 26(10): 1-7. Cao Jian, Lin Tao, Xu Xialing, Zhang Man, Liu Lin. Monitoring of Power System Harmonic/Inter-Harmonics Based on Least Squares Algorithm and Time Frequency Transform. Transactions of China Electrotechnical Society, 2011, 26(10): 1-7.

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http://dgjsxb.ces-transaction.com/CN/Y2011/V26/I10/1

[1] 肖湘宁. 电能质量分析与控制[M]. 北京：中国电力出版社, 2004.
[2] 钱昊, 赵荣祥. 基于插值FFT算法的间谐波分析[J]. 中国电机工程学报, 2005, 25(21): 87-91.
Qian Hao, Zhao Rongxiang. Interharmonics analysis based on interpolation FFT algorithm[J]. Proceedings of the CSEE, 2005, 25(21): 87-91.
[3] 祁才君, 王小海. 基于插值FFT算法的间谐波参数估计[J]. 电工技术学报, 2003, 18(1): 92-95.
Qi Caijun, Wang Xiaohai. Interharmonics estimation based on interpolation FFT algorithm[J] Transactions of China Electrotechnical Society, 2003, 18(1): 92-95.
[4] Garry W Chang, Cheng-Yi Chen, Meng-Chi Wu, et al. Measuring harmonics by an improved FFT-based algorithm with considering frequency variations[C]. IEEE International Symposium on Circuits and Systems, 2006: 1203-1206.
[5] 丁屹峰, 程浩忠, 孙毅斌, 等. 基于小波变换和Prony算法的间谐波参数辨识[J]. 上海交通大学学报, 2005, 39 (12): 2083-2087.
Ding Yifeng, Cheng Haozhong, Sun Yibin, et a1. The parameter identification of interharmonics based on wavelet transform and Prony algorirhm[J]. Journal of Shanghai Jiaotong University, 2005, 39(12): 2083-2087.
[6] 占勇, 丁屹峰, 程浩忠, 等. 电力系统谐波分析的稳健支持向量机方法研究[J]. 中国电机工程学报, 2004, 24(12): 43-47.
Zhan Yong, Ding Yifeng, Cheng Haozhong, et a1. A robust support vector algorithm for harmonics analysis of electric power system[J]. Proceedings of the CSEE. 2004, 24(12): 43-47.
[7] 刘开培, 周莉, 马秉伟. 基于支持向量机的间谐波检测及其在LabVIEW平台的实现[J]. 电网技术, 2006, 30(5): 76-80.
Liu Kaipei, Zhou Li, Ma Bingwei. Interharmonic detection based on regressive type of support vector machine and its realization on platform of labview[J]. Power System Technology, 2006, 30(5): 76-80.
[8] 薛蕙, 杨仁刚. 利用Morlet 连续小波变换实现非整次谐波的检测[J]. 电网技术, 2002, 12(12): 41-44.
Xue Hui, Yang Rengang. Morlet wavelet based detection of non-integer harmonics[J]. Power System Technology, 2002, 12(12): 41-44.
[9] 杜天军, 陈光礻禹, 雷勇. 基于混叠补偿小波变换的电力系统谐波测量方法[J]. 中国电机工程学报, 2005, 25(3): 54-59.
Du Tianjun, Chen Guangju, Lei Yong. A novel method for power system for harmonic detection based on wavelet transform with allasing compensation[J]. Proceedings of the CSEE, 2005, 25(3): 54-59.
[10] Pham V L, Wong K R. Wavelet-transform-based algorithm for harmonic analysis of power system waveforms[J]. IEE Proceedings of Generation Transformation and Distribution, 1999, 146(3): 249-254.
[11] 曹健, 林涛, 张蔓, 等. 电力系统间谐波检测方法的研究[J]. 高电压技术, 2008, 34(8): 1745-1750.
Cao Jian, Lin Tao, Zhang Man, et a1. On the monitoring of power system interharmonics[J]. High Voltage Engineering, 2008, 34(8): 1745-1750.
[12] Lin Tao, Mineo Tsuji, Eiji Yamada. Wavelet approach to power quality monitoring[C]. The 27th Annual Conference of IEEE Industrial Electronics Society, 2001: 670-675.
[13] Lin Tao, Alexander Domijan Jr. On power quality indices and real time measurement[J]. IEEE Transactions on Power Delivery, 2005, 20(4): 2552-2562.
[14] Lin Tao, Alexander Domijan Jr. Recursive algorithm for real-time measurement of electrical variables in power systems[J] IEEE Transactions on Power Delivery, 2006, 21(1): 15-22.
[15] 颜庆津. 数值分析[M]. 3版. 北京: 北京航空航天大学出版社, 2006.
[16] 陈德树. 计算机继电保护原理与技术[M]. 北京: 中国电力出版社, 1992.