基于主瓣宽度多谱线插值的高精度快速谐波分析算法

doi:10.19595/j.cnki.1000-6753.tces.180602

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (2962 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract This paper has induced multi-spectrum-line interpolation algorithm based on main-lobe width. At the same time, we have proved that the phase difference of any two adjacent spectrum lines is. According to this rule, this paper has induced a rapid algorithm so that square root is only calculated one time when we analyze some harmonic parameters. Based on the different order’s hanning self-multiplication windows, the simulation results have shown that the multi-spectrum-line interpolation algorithm has higher precision than double/triple-spectrum-line interpolation algorithm especially when the order of polynomial is lower than two others if obtaining same precision and the rapid algorithm can save calculation amount greatly.

Key words： Harmonic analysis window function main lobe width multi-spectrum-line interpolation multiplication

Received: 10 April 2018 Published: 26 September 2018

PACS:

TM935

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Zhang Junmin
	Liu Kaipei
	Wang Li
	Zhang Ying

Cite this article:

Zhang Junmin,Liu Kaipei,Wang Li等. A Precise and Rapid Algorithm for Harmonic Analysis Based on Multi-Spectrum-Line in Main Lobe Width Interpolation FFT[J]. Transactions of China Electrotechnical Society, 2018, 33(zk1): 121-128.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.180602 OR https://dgjsxb.ces-transaction.com/EN/Y2018/V33/Izk1/121

[1] Bo1 Z Q, Lin X N, Wang Q P, et al. Developments of power system protection and control[J]. Protection and Control of Modern Power Systems, 2016, 1(7): 1-8.
[2] 王保帅, 肖霞.一种用于谐波分析的高精度多谱线插值算法[J].电工技术学报, 2017, 32(15): 22-31.
Wang Baoshuai, Xiao Xia.A high accuracy multi-spectrum-line interpolation algorithm for harmonic analysis[J]. Transactions of China Electrotechnical Society, 2017, 32(15): 22-31.
[3] Chang G W, Chen C I, Liu Y J, et al.Measuring power system harmonics and interharmonics by an improved fast Fourier transform-based algorithm[J]. IET Generation, Transmission & Distribution, 2008, 2(2): 193-201.
[4] 庞浩, 李东霞, 俎云霄, 等.应用FFT 进行电力系统谐波分析的改进算法[J]. 中国电机工程学报, 2003, 23(6): 50-54.
Pang Hao, Li Dongxia, Zu Yunxiao, et al.An improved algorithm for harmonic analysis of power system using FFT technique[J]. Proceedings of the CSEE, 2003, 23(6): 50-54.
[5] Grandke T.Interpolation algorithms for discrete Fourier transform of weighed signals[J]. IEEE Transactions on Instrumentation and Measurement, 1983, 32(2): 350-355.
[6] 周俊, 王小海, 祈才君. 基于Blackman窗函数的插值FFT在电网谐波信号分析中的应用[J]. 浙江大学学报: 理学版, 2006, 33(6): 650-653.
Zhou Jun, Wang Xiaohai, Qi Caijun.Estimation of electrical harmonic parameters by using the interpolated FFT algorithm based on Blackman window[J]. Journal of Zhejiang University: Science Edition, 2006, 33(6): 650-653.
[7] 许珉, 张鸿博. 基于Blackman-Harris窗的加窗FFT插值修正算法[J]. 郑州大学学报: 工学版, 2005, 26(4): 99-101.
Xu Min, Zhang Hongbo.The correction algorithm based on the Blackman-Harris windows and interpolated FFT[J]. Journal of Zhengzhou University: Engineering Science, 2005, 26(4): 99-101.
[8] 卿柏元, 滕召胜, 高云鹏, 等. 基于Nuttall窗双谱线插值FFT的电力谐波分析方法[J]. 中国电机工程学报, 2008, 28(10): 153-158.
Qin Baiyuan,Teng Zhaosheng, Gao Yunpeng, et al.An approach for electrical harmonic analysis based on Nuttall window double-spectrum-line interpolation FFT[J]. Proceedings of the CSEE, 2008, 28(10): 153-158.
[9] 曾博, 滕召胜, 温和, 等. 莱夫-文森特窗插值FFT谐波分析方法[J]. 中国电机工程学报, 2009, 29(10): 115-120.
Zeng Bo, Teng Zhaosheng, Wen He, et al.Harmonic analysis based on Rife-Vincent window interpolated FFT[J]. Proceedings of the CSEE, 2009, 29(10): 115-120.
[10] He Wen, Zhaosheng Teng, Si Yuguo.Triangular self-convolution window with desirable side lobe behaviors for harmonic analysis of power system[J]. IEEE Transactions on Instrumentation & Measurement, 2010, 59(3): 543-552.
[11] Zeng Bo.Parameter estimation of power system signals based on cosine self-convolution window with desirable Side-Lobe behaviors[J]. IEEE Transactions on power delivery, 2011, 26(1): 250-257.
[12] Wen He, Teng Zhaosheng, Guo Siyu, et al.Hanning self-convolution window and its application to harmonic analysis[J]. Science in China, 2009, 52(2): 467-476.
[13] 周念成, 楼晓轩, 王强钢, 等. 电网电压不平衡下三相光伏发电系统的谐波电流抑制[J]. 电工技术学报, 2015, 30(16): 246-254.
Zhou Niancheng, Lou Xiaoxuan, Wang Qianggang, et al.Harmonic currents suppression for three-phase photovoltaic power generation system under unbalanced grid voltage conditions[J]. Transactions of China Electrotechnical Society, 2015, 30(16): 246-254.
[14] 温和, 滕召胜, 王永, 等. 改进加窗插值FFT 动态谐波分析算法及应用[J]. 电工技术学报, 2013, 27(12): 270-277.
Wen He, Teng Zhaosheng, Wang Yong, et al.Improved windowed interpolation FFT algorithm and application for power harmonic analysis[J]. Transactions of China Electrotechnical Society, 2013, 27(12): 270-277.
[15] 温和, 金冉, 蒙娟, 等. 电压不平衡度的加窗FFT快速测量方法[J].电工技术学报, 2017,32(6): 275-283.
Wen He, Jin Ran, Meng Juan, et al.Fast measurement method of voltage unbalance factor based on Window FFT[J]. Transactions of China Electrotechnical Society, 2017, 32(6): 275-283.
[16] 张俊敏, 刘开培, 汪立, 等. 基于乘法窗函数的插值FFT的谐波分析方法[J]. 电力系统保护与控制, 2016, 44(13): 1-5.
Zhang Junmin, Liu Kaipei, Wang Li, et al.An algorithm for harmonic analysis based on multiplication window function[J]. Power System Protection and Control, 2016, 44(13): 1-5.
[17] 温和, 滕召胜, 卿柏元. Hanning 自卷积窗及其在谐波分析中的应用[J]. 电工技术学报, 2009, 24(2): 164-169.
Wen He, Teng Zhaosheng, Qing Baiyuan.Hanning self-convolution windows and its application to harmonic analysis[J]. Transactions of China Electrotechnical Society, 2009, 24(2): 164-169.
[18] 孙仲民, 何正友, 臧天磊. 一种混合卷积窗及其在谐波分析中的应用[J]. 电工技术学报, 2016, 31(16): 207-214.
Sun Zhongmin, He Zhengyou, Zang Tianlei.A kind of hybrid convolution window and its application in Harmonic analysis[J]. Transactions of China Electrotechnical Society, 2016, 31(16): 207-214.
[19] 柳坤, 张俊敏, 田微. 基于互乘法窗函数的谐波分析方法[J]. 电测与仪表, 2016, 53(24): 19-23.
Liu Kun, Zhang Junmin, Tian Wei.An algorithm for harmonic analysis based on mutual-multiplication window function[J]. Electrical Measurement & Instrumentation, 2016, 53(24):19-23.
[20] Agrez D.Weighted multipoint interpolated DFT to improve amplitude estimation of multi-frequency signal[J]. IEEE Transactions on Instrumentation and Measurement, 2002, 51(2): 287-292.
[21] 牛胜锁, 梁志瑞, 张建华, 等. 基于三谱线插值FFT的电力谐波分析算法[J]. 中国电机工程学报, 2012, 32(16): 130-136.
Niu Shengsuo, Liang Zhirui, Zhang Jianhua, et al.An algorithm for electrical harmonic analysis based on triple-spectrum-line interpolation FFT[J]. Proceeding of the CSEE, 2012, 32(16): 130-136.
[22] 黄冬梅, 龚仁喜, 焦凤昌, 等. 莱夫-文森特窗三谱线插值的电力谐波分析[J].电力系统保护与控制, 2014, 42(2): 28-34.
Huang Dongmei, Gong Renxi, Jiao Fengchang, et al.Power harmonic analysis based on Rife-Vincent window and triple-spectral-line interpolation[J]. Power System Protection and Control, 2014, 42(2): 28-34.
[23] 张俊敏, 刘开培, 汪立, 等. 基于四谱线插值FFT的谐波分析快速算法[J]. 电力系统保护与控制, 2017, 1(45): 139-147.
Zhang Junmin, Liu Kaipei, Wang Li, et al.A rapid algorithm for Harmonic analysis based on four-spectrum-line interpolation FFT[J]. Power System Protection and Control, 2017, 45(1): 139-147.
[24] 蔡晓峰, 张鸿博, 鲁改凤. 应用三谱线插值FFT分析电力谐波的改进算法[J].电力系统保护与控制, 2015, 43(2): 33-39.
Cai Xiaofeng, Zhang Hongbo, Lu Gaifeng.Improvement algorithm for harmonic analysis of power system using triple-spectrum-line interpolation algorithm based on window FFT[J]. Power System Protection and Control, 2015, 43(2): 33-39.
[25] 张俊敏, 刘宗方, 陈勉.一种基于Hanning自乘法窗函数和四插值的谐波分析方法[J]. 中南民族大学学报(自然科学版), 2016, 35(1): 132-135.
Zhang Junmin, Liu Zongfang, Chen Mian.A harmonic analysis method based on Hamming self-multiplication window functions and four-spectrum-line-interpolation[J]. Journal of South-Central University for Nationalities (Natural Science Edition), 2016, 35(1): 132-135.
[26] 张俊敏, 刘开培, 汪立, 等. 基于Hanning自乘法窗函数的高精度谐波分析[J].智能电网, 2016, 4(5): 473-477.
Zhang Junmin, Liu Kaipei, Wang Li, et al.High-precision harmonic analysis based on Hanning self-multiplication window functions[J]. Smart Grid, 2016, 4(5): 473-477.