Abstract：An adaptive algorithm for the measurement of frequency signal is proposed. The model of the algorithm is formed by the gradient descent method, and it is proved to be asymptotically stable when the input signal to be measured is nonstationary, according to the theorem of Liapunov stability. The influence of the value for the parametric factors of the algorithm on the character of the adaptive algorithm is studied. The strategy for adjusting the parametric factors dynamically can ensure the algorithm convergence accurately to the component which is to be measured when the input signal is stable, suppressing the interference of noise and other component. Meanwhile, the algorithm can response to the variation of the component to be measured quickly and convergence to the new state of the component immediately. The correctness and effectiveness of the algorithm are proved by the theoretical analysis as well as the simulation studies.
刘亚栋, 杨洪耕, 马超, 刘张. 一种频率信号的自适应测量法[J]. 电工技术学报, 2012, 27(11): 263-270.
Liu Yadong, Yang Honggeng, Ma Chao, Liu Zhang. An Adaptive Measuring Method for Frequency Signal. Transactions of China Electrotechnical Society, 2012, 27(11): 263-270.
[1] Lin H C. Inter-harmonic identification using group-harmonic weighting approach based on the FFT[J]. IEEE Transaction on Power Electronics, 2008, 23(3): 1309-1319. [2] Clark S L, Famouri P, Cooley W L. Elimination of supply harmonics[J]. IEEE Industry Applications Magazine, 1997, 3(2): 62-67. [3] Apuzzo M D, Arco M D. A time-domain approach for the analysis of nonstationary signals in power systems[J]. IEEE Transaction on Power Delivery, 2008, 57(9): 1969-1977. [4] 蔡涛, 段善旭, 刘方瑞. 基于实值MUSIC算法的电力谐波分析方法[J]. 电工技术学报, 2009, 24(12): 149-155. Cai Tao, Duan Shanxu, Liu Fangrui. Power system analysis based on real-valued spectral MUSIC algorithm[J]. Transactions of China Electrotechnical Society, 2009, 24(12): 149-155. [5] 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. [6] 曾博, 滕召胜. 纳托尔窗改进FFT动态谐波参数估计方法[J]. 中国电机工程学报, 2010, 30(1): 65-71. Zeng Bo, Teng Zhaosheng. Improved FFT approach for the dynamic state estimation of harmonic parameters based on the Nuttall window[J]. Proceeding of the CSEE, 2010, 30(1): 65-71. [7] 吕干云, 方奇品, 蔡秀珊. 一种基于粒子群优化算法的的间谐波分析方法[J]. 电工技术学报, 2009, 24(12): 156-161. Lv Ganyun, Fang Qipin, Cai Xiushan. A method for inter-harmonics analysis based on PSO[J]. Transactions of China Electrotechnical Society, 2009, 24(12): 156-161. [8] Aiello M, Cataliotti A, Nuccio S. A comparison of spectrum estimation technique for nonstationary signals in induction motor drive measurements[J]. IEEE Transaction on Instrumentation and Measurement, 2005, 54(6): 2264-2271. [9] 陈涵, 刘会金, 李大路, 等. 非均匀采样和最小二乘法在间谐波检测中的应用[J]. 中国电机工程学报, 2009, 29(10): 109-114. Chen Han, Liu Huijing, Li Dalu, et al. Application of nonuniformly sampling and least square technique in inter-harmonic measurement[J]. Proceeding of the CSEE, 2009, 29(10): 109-114. [10] Aiello M, Cataliotti A, Nuccio S. A chirp-z transform-based synchronizer for power system measurements[J]. IEEE Transaction on Instrumentation and Measurement, 2005, 54(3): 1025-1032. [11] Kusljevic M D. Simultaneous frequency and harmonic magnitude estimation using decoupled modules and multirate sampling[J]. IEEE Transaction on Instrumentation and Measurement, 2010, 59(4): 954-962. [12] IEC61000-4-7, General guide on harmonics and inter-harmonics measurements and instrumentation, for power supply systems and equipment connected thereto[S]. [13] Bracale A, Carpinelli G, Lauria D, et al. On some spectrum estimation methods for analysis of nonstationary signals in power systems[C]. Proceeding of 11th International Conference on Harmonics and Quality of Power, 2004: 260-265. [14] Guckenheimer J, Holmes P. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields[M]. New York: Springer-Verlag, 1991. [15] Tey L H, So P L, Chu Y C. Improvement of power quality using adaptive shunt active filter[J]. IEEE Transaction on Power Delivery, 2005, 20(2): 1558-1568. [16] 李辉, 李亦斌, 邹云屏, 等. 一种新的变步长自适应谐波检测算法[J]. 电力系统自动化, 2005, 29(2): 69-73. Li Hui, Li Yibin, Zou Yunping, et al. A novel adaptive harmonic detecting algorithm based on variable step-size LMS[J]. Automation of Electric Power Systems, 2005, 29(2): 69-73.
2012, Vol. 27 
