Abstract The spectral leakage has great influence on the performance of dielectric loss angle measurement when using fast Fourier transform (FFT) algorithm. Based on the analysis of the spectrum leakage effect of FFT algorithm, an improved FFT method combined Nuttall window with five-point polynomial transform to detect dielectric loss angle was presented in this paper. Since Nuttall window has a good attenuation characteristic of side lobe, and five-point polynomial transform can speed up the attenuation of side lobe spectrum, the proposed method firstly applied Nuttall window to truncate the measurement signal, then used FFT weighted polynomial transformation so as to reduce the output sequence spectrum leakage effect and improve the analysis accuracy. Through simulations and experiments, the proposed Nuttall window and five-point polynomial transform interpolated FFT algorithm is proven to be accurate and reliable. The impact factors of dielectric loss angle measurement including fundamental frequency fluctuation, number of sampling points, random noise, harmonic component, and direct current component are also analyzed in detail in this paper.
Jin Tao,Chen Yiyang,You Shengqiang. An Improved FFT Algorithm for Dielectric Loss Angle Based on Nuttall Window and Five-Point Polynomial Transform[J]. Transactions of China Electrotechnical Society, 2015, 30(增刊2): 7-15.
[1] 段大鹏, 江秀臣, 孙才新, 等. 基于正交分解的介质损耗因数数字测量算法[J]. 中国电机工程学报, 2008, 28(7): 127-133. Duan Dapeng, Jiang Xiuchen, Sun Caixin, et al. A novel algorithm of dielectric loss measurement based on orthogonal decomposition[J]. Proceedings of the CSEE, 2008, 28(7): 127-133. [2] 徐志钮, 赵丽娟, 律方成, 等. 傅里叶算法测量介质损耗的误差分析与应用[J]. 电网技术, 2011, 35(12): 124-129. Xu Zhiniu, Zhao Lijuan, Lü Fangcheng, et al. Error analysis on dielectric loss measurement by Fourier algorithm and its application[J]. Power System Technology, 2011, 35(12): 124-129. [3] 孙鹏, 杨永越. 五点加权FFT介质损耗角测量算法的研究[J]. 高压电器, 2015, 51(3): 88-92. Sun Peng, Yang Yongyue. Five-point weighted FFT algorithm for measurement of dielectric loss angle[J]. High Voltage Apparatus, 2015, 51(3): 88-92. [4] 董爽, 李天云, 王永, 等. 在线检测介质损耗角的矩阵束方法[J]. 电工技术学报, 2015, 30(18): 229-236. Dong Shuang, Li Tianyun, Wang Yong, et al. An on-line detection method of dielectric loss angle based on matrix pencil algorithm[J]. Transactions of China Electrotechnical Society, 2015, 30(18): 229- 236. [5] 张红瑛, 滕召胜, 温和, 等. 九点变换改进FFT高精度谐波分析方法[J]. 电力系统及其自动化学报, 2010, 22(6): 38-43. Zhang Hongying, Teng Zhaosheng, Wen He, et al. Nine points’ polynomial transform improved FFT for high precise harmonic analysis[J]. Proceedings of the CSU-EPSA, 2010, 22(6): 38-43. [6] 高云鹏, 滕召胜, 曾博, 等. 基于Kaiser窗频谱校正的介质损耗因数测量[J]. 电工技术学报, 2009, 24(5): 203-208. Gao Yunpeng, Teng Zhaosheng, Zeng Bo, et al. Dielectric loss factor measurement based on Kaiser window spectral correction[J]. Transactions of China Electrotechnical Society, 2009, 24(5): 203-208. [7] 高云鹏, 李峰, 陈婧, 等. 基于Teager-Kaiser能量算子Rife-Vincent窗频谱校正的电压闪变测量[J]. 电工技术学报, 2014, 29(6): 248-256. Gao Yunpeng, Li Feng, Chen Jing, et al. Voltage flicker measurement using the Teager-Kaiser energy operator based on Rife-Vincent window spectral correction[J]. Transactions of China Electrotechnical Society, 2014, 29(6): 248-256. [8] 高云鹏, 滕召胜, 温和, 等. 基于Kaiser窗的相位差校正及tanδ 测量应用[J]. 湖南大学学报: 自然科学版, 2009, 36(4): 48-52. Gao Yunpeng, Teng Zhaosheng, Wen He, et al. Dielectric loss factor measurement based on Kaiser window phase difference correction[J]. Journal of Hunan University: Natural Sciences, 2009, 36(4): 48-52. [9] 王刘旺, 黄建才, 孙建新, 等. 基于加汉宁窗的FFT高精度谐波检测改进算法[J]. 电力系统保护与控制, 2012, 40(24): 28-33. Wang Liuwang, Huang Jiancai, Sun Jianxin, et al. An improved precise algorithm for harmonic analysis based on Hanning-windowed FFT[J]. Power System Protection and Control, 2012, 40(24): 28-33. [10] 唐轶, 陈奎, 韩智强, 等. 布莱克曼函数频域插值电力谐波计算[J]. 电力系统及其自动化学报, 2013, 25(3): 142-146. Tang Yi, Chen Kui, Han Zhiqiang, et al. New calculation method of electric power harmonic in frequency domain interpolation of Blackman windows[J]. Proceedings of the CSU-EPSA, 2013, 25(3): 142-146. [11] 温和, 滕召胜, 曾博, 等. 基于三角自卷积窗的介损角测量算法及应用[J]. 电工技术学报, 2010, 25(7): 192-198. Wen He, Teng Zhaosheng, Zeng Bo, et al. Dielectric loss angle measurement algorithm and application based on Triangular self-convolution window[J]. Transactions of China Electrotechnical Society, 2010, 25(7): 192-198. [12] 孙鹏, 杨永越, 刘黎明, 等. 基于Hanning卷积窗的DFT介质损耗角测量算法[J]. 电测与仪表, 2014, 51(16): 73-77. Sun Peng, Yang Yongyue, Liu Liming, et al. A DFT dielectric loss angle measurement algorithm based on Hanning convolution window[J]. Electrical Measure- ment & Instrumentation, 2014, 51(16): 73-77. [13] 高云鹏, 滕召胜, 卿柏元. 基于Kaiser窗双谱线插值FFT的谐波分析方法[J]. 仪器仪表学报, 2010, 31(2): 287-292. Gao Yunpeng, Teng Zhaosheng, Qing Baiyuan. Harmonic analysis based on Kaiser window double spectrum line interpolation FFT[J]. Chinese Journal of Scientific Instrument, 2010, 31(2): 287-292. [14] 徐志钮, 律方成, 李和明. 加Blackman-Harris窗插值算法仿真介损角测量[J]. 高电压技术, 2007, 33(3): 104-108. Xu Zhiniu, Lu Fangcheng, Li Heming. Simulation analysis of dielectric loss angle measured by the Blackman-Harris[J]. High Voltage Engineering, 2007, 33(3): 104-108. [15] 黄冬梅, 龚仁喜, 焦凤昌, 等. 菜夫-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): 27-34. 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): 27-34. [16] 温和, 滕召胜, 王永, 等. 频谱泄漏抑制与改进介损角测量算法研究[J]. 仪器仪表学报, 2011, 32(9): 2087-2094. Wen He, Teng Zhaosheng, Wang Yong, et al. Study on spectral 1eakage suppression and improved dielectric loss angle measurement method[J]. Chinese Journal of Scientific Instrument, 2011, 32(9): 2087- 2094. [17] 郝西伟, 杨大伟, 刘广艳, 等. 高精度FFT算法在介损监测中的理论与仿真研究[J]. 高压电器, 2009, 45(2): 57-61. Hao Xiwei, Yang Dawei, Liu Guangyan, et al. Theoretical and simulation study on high accuracy FFT algorithm for tan δ monitoring[J]. High Voltage Apparatus, 2009, 45(2): 57-61. [18] 温和, 滕召胜, 王一, 等. 基于三角自卷积窗的介损角高精度测量算法[J]. 电工技术学报, 2009, 24(3): 203-208. Wen He, Teng Zhaosheng, Wang Yi, et al. High accuracy dielectric loss angle measurement algorithm based on triangular self-convolution window[J]. Transactions of China Electrotechnical Society, 2009, 24(3): 203-208. [19] 许珉, 杨阳, 陈飞, 等. 基于Nuttall(Ⅰ)窗的插值FFT算法[J]. 电力系统保护与控制, 2011, 39(23): 44-48. Xu Min, Yang Yang, Chen Fei, et al. An interpolated FFT algorithm based on the Nuttall(I) window[J]. Power System Protection and Control, 2011, 39(23): 44-48. [20] 曾博, 唐求, 卿柏元, 等. 基于Nuttall自卷积窗的改进FFT谱分析方法[J]. 电工技术学报, 2014, 29(7): 59-65. Zeng Bo, Tang Qiu, Qing Baiyuan, et al. Spectral analysis method based on improved FFT by Nuttall self-convolution window[J]. Transactions of China Electrotechnical Society, 2014, 29(7): 59-65.
2015, Vol. 30 
