IGG法和扩展傅里叶结合的间谐波分析  

Inter-harmonic Analysis Using IGG and Extended Fourier

作　　者：李丽[1] 严正[1] 王兴志[1] 

机构地区：[1]上海交通大学电气工程系,上海200240

出　　处：《电力系统及其自动化学报》2010年第3期9-14,共6页Proceedings of the CSU-EPSA

基　　金：国家自然科学基金资助项目(90612018)

摘　　要：为获得准确的间谐波信号的频率分布估计值,提出了基于中国科学院测量与地球物理研究所的IGG(Institute of Geodesy & Geophysics,Chinese Academy of Sciences)法和扩展傅里叶变换的间谐波分析方法。扩展傅里叶变换利用变换基函数代替传统离散傅里叶变换DFT(discrete Fourier transform)中的指数基部分,构造间谐波信号模型的目标函数,通过迭代对原始数据进行近似拟合;然后利用IGG算法迭代过程具有良好的抗粗差能力和可靠的收敛性等特点,求解上述目标函数。通过仿真验证,该方法具有超频率分辨和抗干扰特性,而且无需同步采样和过长的采样数据,因而在电力系统谐波测量中有较大的应用价值。To obtain accurate frequency distribution estimated value of inter-harmonic signal, a method based on IGG （Institute of Geodesy ＆ Geophysics, Chinese Academy of Sciences） and extended Fourier analysis is proposed. After constructing the objective function of inter-harmonic signal, the extended fourier analysis use transform basis instead of exponential basis to improve precision, and then through iterative procedure to do data fitting. The method of IGG is used to resolve the objective function, which has strong robustness, high convergence speed as well as favorable veracity and numerical stability. The simulation results show that the method has better features in calculation accuracy, super-resolution and anti-interference, avoiding synchronous sampling and over-long sampling data. This method can be used in the actual harmonic and inter-harmonic measurement in the power system.

关 键 词：间谐波 IGG方法 扩展傅里叶变换 相对频率分辨 非同步采样 

分 类 号：TM714[电气工程—电力系统及自动化]