应用三谱线插值FFT分析电力谐波的改进算法  

Improvement algorithm for harmonic analysis of power system using triple-spectrum-line interpolation algorithm based on window FFT

作　　者：蔡晓峰[1] 张鸿博[2] 鲁改凤[2] 

机构地区：[1]河南工程学院机械工程学院,河南新郑451191 [2]华北水利水电大学电力学院,河南郑州450011

出　　处：《电力系统保护与控制》2015年第2期33-39,共7页Power System Protection and Control

摘　　要：分析了加窗三谱线插值FFT算法的原理。针对算法开方运算量大、响应速度慢的不足,分析了窗函数主瓣内谱线的相位特性,推导出在忽略谐波间泄漏影响的情况下窗函数主瓣内任意相邻两根谱线相位差等于π的规律。在此基础上提出了一种改进三谱线插值修正算法,该算法在不影响精度的前提下可将插值过程所需的求幅值运算量减少为常规算法的1/3。仿真和实验结果表明,改进算法有效地减少了插值过程的计算量,提高了算法响应速度,同时仍然具有较高的计算精度,适用于电力谐波的分析测量。The principle of triple-spectrum-line interpolation algorithm based on window FFT is analyzed firstly. Aimed at its shortcomings of large computing capacity and much time consumption, frequency spectrum in main lobe of window function is analyzed, and a rule that the phase difference of any two adjacent spectrum lines in main lobe of window isπis derived. Based on the rule, an improved algorithm for triple-spectrum-line interpolation FFT is presented, which can reduce amount of solving amplitude to one-third of the normal one. Simulation and experiment shows that the improved algorithm is of high accuracy and small amount of calculation, and it is suitable for power harmonic analysis.

关 键 词：谐波测量 快速傅立叶变换 窗函数 三谱线 插值 

分 类 号：TM711[电气工程—电力系统及自动化]