Abstract:This paper presents a novel power system harmonic and interharmonic analysis method based on S-transform and TT-transform. By using the spectral properties of diagonal elements of TT-transform and interpolation algorithm, the paper proposes a high precision measurement algorithm to detect steady harmonics and interharmonics, and solves the problem that the high frequency harmonics and interharmonics in power system is too less to detect. For dynamic harmonic and interharmonic analysis, the paper uses spectral analysis of diagonal elements of TT-transform to calculate frequency, amplitude and other parameters of each frequency component in signal, and accurately determines the beginning and ending time of each frequency component by analyzing the result of S-transform and detecting the amount of mutation of TT-series. Simulation results verify the feasibility and effectiveness of the proposed method in steady, dynamic harmonic and interharmonic analysis.
黄纯, 朱智军, 曹一家, 汪沨, 黎灿兵, 董旭柱. 一种电网谐波与间谐波分析新方法[J]. 电工技术学报, 2013, 28(9): 32-39.
Huang Chun, Zhu Zhijun, Cao Yijia, Wang Feng, Li Canbing, Dong Xuzhu. A Novel Power System Harmonic and Interharmonic Analysis Method. Transactions of China Electrotechnical Society, 2013, 28(9): 32-39.
[1] 张伏生, 耿中行, 葛耀中. 电力系统谐波分析的高精度FFT算法[J]. 中国电机工程学报, 1999, 19(3): 1-8. Zhang Fusheng, Geng Yaozhong. FFT algorithm with high accuracy for harmonic analysis in power system[J]. Proceedings of the CSEE, 1999, 19(3): 1-8 [2] 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. An improved algorithm for harmonic analysis of power system using FFT technique[J]. Proceedings of the CSEE, 2003, 23(6): 50-54. [3] 赵黎丽. 基于相关Hanning窗插值的间谐波分析算法[J]. 电工技术学报, 2008, 23(11): 153-158. Zhao Lili. Inter-harmonics analysis based on correlation Hanning window and interpolation algorithm[J]. Transactions of China Electrotechnical Society, 2008, 23(11): 153-158. [4] 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(3): 92-95. Qi Caijun, Wang Xiaohai. Interharmonic estimation based on interpolating FFT algorithm[J]. Transactions of China Electrotechnical Society, 2003, 18(3): 92-95. [5] 薛惠, 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, 26(12): 41-44. Xue Hui, Yang Rengang. Morlet wavelet based detection of noninteger harmonics[J]. Power System Technology, 2002, 26(12): 41-44. [6] 丁屹峰, 程浩忠, 吕干云. 基于Prony算法的谐波和间谐波频谱估计[J]. 电工技术学报, 2005, 20(10): 94-97. Ding Yifeng, Cheng Haozhong, Lü Ganyun. Spectrum estimation of harmonics and inter-harmonics based on Prony algorithm[J]. Transaction of China Electro- technical Society, 2005, 20(10): 94-97. [7] Stockwell R G, Mansinha L, Lowe R P. Localization of the complex spectrum: The S-transform[J]. IEEE Transaction on Signal Processing, 1996, 44(4): 998-1001. [8] Pinnegar C R, Mansinha L. A method of time-time analysis: the TT-transform[J]. Digital Signal Processing, 2003, 13(4): 588-603. [9] Pinnegar C R. Time-frequency and time-time filtering with the S-transform and TT-transform[J]. Digital Signal Processing, 2005, 15(3): 604-620. [10] Carine Simon, Martin Schimmel, Juanjo José Dañobeitia. On the TT-transform and its diagonal elements[J]. IEEE Transaction on Signal Processing, 2008, 56(11): 5709-5713. [11] Pinnegar C R. Generalizing the TT-transform[J]. Digital Signal Processing, 2009, 19(1): 144-152. [12] Lee I W C, Dash P K. S-transform-based intelligent system for classification of power quality disturbance signal[J]. IEEE Transaction on Power Delivery, 2003, 18(3): 800-805. [13] 占勇, 程浩忠, 丁屹峰. 基于S变换的电能质量扰动支持向量机分类识别[J]. 中国电机工程学报, 2005, 25(4): 51-56. Zhang Yong, Cheng Haozhong, Ding Yifeng. S-transform-based classification of power quality disturbance signals by support vector machines[J], Proceedings of the CSEE, 2005, 25(4): 51-56. [14] 刘守亮, 肖先勇, 杨洪耕. 基于S变换模时频矩阵相似度的短时电能质量扰动分类[J]. 电网技术, 2006, 30(5): 41-47. [15] 易吉良, 彭建春, 罗安, 等. 电能质量信号的改进S变换降噪方法[J], 仪器仪表学报, 2010, 31(1): 52-58. Yi Jiliang, Peng Jianchun, Luo An. Power quality signal denoising using modified S-transform[J]. Chinese Journal of Scientific Instrument, 2010, 31(1): 52-58. [16] Fan X, Zuo M. Gearbox fault detection using Hilbert and TT-transform[J]. Key Engineering Materials, 2005, 293(1): 79-86.