Complex Harmonic Parameters Estimation Using Incomplete S Transform
Yi Jiliang1, Zhou Man1, Li Zhongqi1, Li Junjun1, He Like2
1. College of Traffic Engineering Hunan University of Technology Zhuzhou 412007 China; 2. College of Electrical and Information Engineering Hunan Industry Polytechnic Changsha 410208 China
Abstract:Emerging power supply such as micro grid generates the intermittent non-stationary complex harmonic which brings adverse effects on electrical equipment. A novel technique for complex harmonic parameters estimation is proposed using incomplete S transform (IST) by means of the compute mode of non-ergodic spectrum and non-fixed window width coefficient. Firstly, the optimal window width coefficient of each concern frequency point is determined based on the principle of amplitude directly measuring. Secondly, IST vector of each concern frequency point is calculated using overlapping compute mode, so as to eliminate its end effect. The harmonic instantaneous frequency and phase estimation formulas are obtained use the principle phase coherence between IST vector and original signal. Finally, the effectiveness of the proposed method is validated by simulation and experiment, and the results show that the maximum relative error of estimated parameters is about 1% with the proposed method under the worst spectrum leakage, and it can track the change of complex harmonic parameters in real time.
易吉良, 周曼, 李中启, 李军军, 贺力克. 采用不完全S变换的复杂谐波参数估计[J]. 电工技术学报, 2018, 33(zk1): 112-124.
Yi Jiliang, Zhou Man, Li Zhongqi, Li Junjun, He Like. Complex Harmonic Parameters Estimation Using Incomplete S Transform. Transactions of China Electrotechnical Society, 2018, 33(zk1): 112-124.
[1] Reza M S, Agelidis V G.A robust technique for single phase grid voltage fundamental and harmonic parameter estimation[J]. IEEE Transactions on Instrumentation and Measurement, 2015, 64(12): 3262-3273. [2] 吴超凡, 陈隆道. 应用于电力谐波分析的改进相位差校正法[J]. 电工技术学报, 2017, 32(7): 158-164. Wu Chaofan, Chen Longdao.Improved phase difference correction method applied to power harmonic analysis[J]. Transactions of China Electrotechnical Society, 2017, 32(7): 158-164. [3] 贾清泉, 杨晓雯, 宋知用. 一种电力系统谐波信号的加窗频移算法[J]. 中国电机工程学报, 2014, 34(10): 1631-1640. Jia Qingquan, Yang Xiaowen, Song Zhiyong.A window frequency shift algorithm for power system harmonic analysis[J]. Proceedings of the CSEE, 2014, 34(10): 1631-1640. [4] 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. [5] Singh S K, Goswami A K, Sinh N.Power system harmonic parameter estimation using bilinear recursive least square (BRLS) algorithm[J]. Electrical Power and Energy Systems, 2015, 67: 1-10. [6] 邱思语, 杨洪耕. 改进的加权支持向量机回归的谐波发射水平估计方法[J]. 电工技术学报, 2016, 31(5): 85-90. Qiu Siyu, Yang Honggeng.Assessment method of harmonic emission level based on the improved weighted support vector machine regression[J]. Transactions of China Electrotechnical Society, 2016, 31(5): 85-90. [7] 邹培源, 黄纯, 江辉, 等. 基于全相位谱细化与校正的谐波和间谐波测量方法[J]. 电网技术, 2016, 40(8): 2496-2502. Zou Peiyuan, Huang Chun, Jiang Hui, et al.Method of harmonics and interharmonics measurement based on all-phase spectrum zoom and correction[J]. Power System Technology, 2016, 40(8): 2496-2502. [8] Reza M S, Ciobotaru M, Agelidis V G.Accurate estimation of single-phase grid voltage parameters under distorted conditions[J]. IEEE Transactions on Power Delivery, 2014, 29(3): 1138-1146. [9] Wang Yifei, Li Yunwei.A grid fundamental and harmonic component detection method for single-phase systems[J]. IEEE Transactions on Power Electronics, 2013, 28(5): 2204-2213. [10] 喻敏, 王斌, 王文波, 等. 基于同步挤压小波变换的电力系统时变谐波检测[J]. 电工技术学报, 2017, 32(增刊1): 50-57. Yu Min, Wang Bin, Wang Wenbo, et al.Power system time-varying transient harmonics detection based on SWT[J]. Transactions of China Electrotechnical Society, 2017, 32(S1): 50-57. [11] 王宇, 赵庆生, 郭贺宏, 等. 离散正交S变换在电能质量扰动检测中的应用[J]. 电力系统保护与控制, 2015, 43(17): 93-97. Wang Yu, Zhao Qingsheng, Guo Hehong, et al.Application of discrete orthonormal S-transform in detection of power quality disturbances[J]. Power System Protection and Control, 2015, 43(17): 93-97. [12] 覃星福, 龚仁喜. 基于广义S变换与PSO-PNN的电能质量扰动识别[J]. 电力系统保护与控制, 2016, 44(15): 10-17. Qin Xingfu, Gong Renxi.Power quality disturbances classification based on generalized S-transform and PSO-PNN[J]. Power System Protection and Control, 2016, 44(15): 10-17. [13] Li Jianmin, Teng Zhaosheng, Tang Qiu, et al.Detection and classification of power quality disturbances using double resolution S-transform and DAG-SVMs[J]. IEEE Transactions on Instrumentation and Measurement, 2016, 65(10): 2302-2312. [14] 易吉良, 彭建春, 谭会生. 采用不完全S变换的电能质量扰动检测方法[J]. 高电压技术, 2009, 35(10): 2562-2567. Yi Jiliang, Peng Jianchun, Tan Huisheng.Detection method of power quality disturbances using incomplete S transform[J]. High Voltage Engineering, 2009, 35(10): 2562-2567. [15] He Shunfan, Li Kaicheng, Zhang Ming.A real-time power quality disturbances classification using hybrid method based on S-transform and dynamics[J]. IEEE Transactions on Instrumentation and Measurement, 2013, 62(9): 2456-2475. [16] 周崇雯, 罗骏, 汪芳宗, 等. 基于不完全S变换的低频振荡可视化实时监测方法[J]. 电力系统保护与控制, 2015, 43(24): 63-68. Zhou Chongwen, Luo Jun, Wang Fangzong, et al.Visual real-time monitoring of low frequency oscillation based on incomplete S-transform[J]. Power System Protection and Control, 2015, 43(24): 63-68. [17] 李立, 易吉良, 朱建林. 采用改进不完全S变换估计电能质量扰动参数[J]. 电工技术学报, 2011, 26(6): 187-193. Li Li, Yi Jiliang, Zhu Jianlin.Parameter estimation of power quality disturbances using modified incomplete S-transform[J]. Transactions of China Electrotechnical Society, 2011, 26(6): 187-193. [18] Pinnegar C R, Mansiha L.Time-local spectral analysis for non-stationary time series: the S-transform for noise signal[J]. Fluctuation and Noise Letters, 2003, 3(3): 357-364