电力系统保护与控制2011，Vol.39Issue(10)：27-30,36,5.
一种基于改进傅立叶级数的高精度谐波分析算法
A high accuracy harmonic analysis algorithm based on modified Fourier series
摘要
Abstract
For improving harmonic analysis accuracy of short sampling duration time, a modified Fourier series algorithm is proposed. The methed obtains the signal frequency by Harming windowed and interpolated algorithm, and then the integer period signal is gotten based on the signal frequency, and the signal value of boundary point is obtained by interpolation. The harmonic amplitude and phase are calculated by trapezoidal interpolation formula and the accuracy is improved. Signal frequency calculation accuracy of the Harming windowed and interpolated algorithm is higher than that of the harmonic phase, especially in short sampling duration time. So the method using the obtained signal frequency to get integer period signal can improve harmonic analysis accuracy in short sampling duration time. In the meantime, the method has simple principle and easy program realization. Multiple harmonic analysis algorithms based on Fourier transform are implemented, and calculation result indicates that the proposed algorithm by this paper has higher accuracy than other algorithms in different sampling duration time, especially in short sampling duration time.关键词
电力系统/谐波分析/傅立叶级数/汉宁窗/梯形插值Key words
power system/ harmonic analysis/ Fourier series/ Hanning window/ trapezoidal interpolation分类
信息技术与安全科学引用本文复制引用
徐志钮,律方成..一种基于改进傅立叶级数的高精度谐波分析算法[J].电力系统保护与控制,2011,39(10):27-30,36,5.基金项目
国家重点基础研究发展计划项目(973项目)(2009CB724508) （973项目）
