基于混合卷积窗四谱线插值和改进全相位的谐波检测组合优化算法Combined Optimization Algorithm Based on Mixed Convolution Window Four-line Interpolation and Improved All-phase Harmonic Detection
陈倩,王维庆,王海云,张家军
摘要(Abstract):
由于传统傅里叶算法在实际工程应用中都是非同步采样,存在栏栅效应和频谱泄露,导致谐波检测精度偏低。基于此问题,提出一种组合优化算法。通过分析混合卷积窗特性,提出基于混合卷积窗的四谱线插值算法,利用该算法准确检测谐波幅值和频率参数。从实际情况出发,提出基于混合卷积窗的改进全相位傅里叶算法,利用该算法对谐波相位进行检测,进而检测谐波3大参数。最后,在白噪声和频率波动影响下与传统加窗插值算法做对比分析。仿真结果表明,该组合优化算法可以有效地提高谐波检测参数精确度,抗白噪声和频率波动的能力较强。
关键词(KeyWords): 谐波检测;快速傅里叶算法;混合卷积窗;插值;全相位傅里叶变换;组合优化算法
基金项目(Foundation): 国家自然科学基金资助项目(51667020);; 教育部创新团队资助项目(IRT_16R63);; “天山雪松”人才培养计划资助项目(2017XS02);; 教育厅重大专项资助项目(XJEDU2017I002)
作者(Author): 陈倩,王维庆,王海云,张家军
DOI: 10.19635/j.cnki.csu-epsa.000371
参考文献(References):
- [1]Xue S Y,Yang S X.Power system frequency estimation using supervised Gauss-Newton algorithm[J].Measurement,2009,42(1):28-37.
- [2]IEC 61000-4-7,General guide on harmonics and interharmonics,for power supply systems and equipment connected thereto[S].
- [3]黄纯,朱智军,曹一家,等(Huang Chun,Zhu Zhijun,Cao Yijia,et al).一种电网谐波与间谐波分析新方法(A novel power system harmonic and interharmonic analysis method)[J].电工技术学报(Transactions of China Electrotechnical Society),2013,28(9):32-39.
- [4]王保帅,肖霞(Wang Baoshuai,Xiao Xia).一种用于谐波分析的高精度多谱线插值算法(A high accuracy multispectrum-line interpolation algorithm for harmonic analysis)[J].电工技术学报(Transactions of China Electrotechnical Society),2017,33(3):553-562.
- [5]Grandke T.Interpolation algorithms for discrete Fourier transforms of weighed signals[J].IEEE Trans on Instrumentation and Measurement,1983,32(2):350-355.
- [6]许鸿飞,张姣姣,庞思睿,等(Xu Hongfei,Zhang Jiaojiao,Pang Sirui,et al).基于汉宁双窗apFFT单谱线插值的电力谐波和间谐波检测算法(An electric power harmonic and inter-harmonic detection method based on single-spectrum-line interpolation of double Hanning windows apFFT)[J].电测与仪表(Electrical Measurement&Instrumentation),2017,54(10):87-93.
- [7]高云鹏,滕召胜,卿柏元,等(Gao Yunpeng,Teng Zhaosheng,Qing Baiyuan,et al).基于Kaiser窗双谱线插值FFT的谐波分析方法(Harmonic analysis based on Kaiser window double spectrum line interpolation FFT)[J].仪器仪表学报(Chinese Journal of Scientific Instrument),2010,31(2):287-292.
- [8]牛胜锁,梁志瑞,张建华,等(Niu Shengsuo,Liang Zhirui,Zhang Jianhua,et al).基于三谱线插值FFT的电力谐波分析算法(An algorithm for electrical harmonic analysis based on triple-spectrum-1ine interpolation FFT)[J].中国电机工程学报(Proceedings of the CSEE),2012,32(16):130-136.
- [9]李得民,何怡刚(Li Demin,He Yigang).基于Nuttall窗四谱线插值FFT的电力谐波分析(Harmonic analysis of power system based on Nuttall window four-spectrumline interpolation FFT)[J].电力系统保护与控制(Power System Protection and Control),2016,44(3):64-71.
- [10]黄翔东,王兆华(Huang Xiangdong,Wang Zhaohua).一种设计频率特性有间断滤波器的新方法(A novel technique to design filter with discontinuous frequency character)[J].天津大学学报(Journal of Tianjin University),2006,39(5):614-620.
- [11]温和,滕召胜,卿柏元(Wen He,Teng Zhaosheng,Qing Baiyuan).Hanning自卷积窗及其在谐波分析中的应用(Hanning self-convolution windows and its application to harmonic analysis)[J].电工技术学报(Transactions of China Electrotechnical Society),2009,24(2):164-169.
- [12]黄翔东,王兆华,罗蓬,等(Huang Xiangdong,Wang Zhaohua,Luo Peng,et al).全相位FFT密集谱识别与校正(Discrimination and correction for dense all-phase FFTspectrums)[J].电子学报(Acta Electronica Sinica),2011,39(1):172-177.
- [13]王兆华,黄翔东,杨尉(Wang Zhaohua,Huang Xiangdong,Yang Wei).全相位FFT相位测量法(The measuring phase method of all-phase FFT)[J].世界科技研究与发展(World Sci-Tech R&D),2007,29(4):28-32,27.
- [14]卿柏元,滕召胜,高云鹏,等(Qing Baiyuan,Teng Zhaosheng,Gao Yunpeng,et al).基于Nuttall窗双谱线插值FFT的电力谐波分析方法(An approach for electrical harmonic analysis based on Nuttall window double-spectrum-line interpolation FFT)[J].中国电机工程学报(Proceedings of the CSEE),2008,28(25):153-158.
- [15]李心一,谢志江,罗久飞(Li Xinyi,Xie Zhijiang,Luo Jiufei).迭代加窗插值FFT谐波分析方法(Harmonic analysis approach based on iterative windowed interpolation FFT)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2019,31(2):32-37.