【摘要】 分析了傅里叶算法中衰减直流分量引起的误差,推导了精确的误差计算公式,并据此对传统傅里叶算法的计算结果进行修正,提出了改进的傅里叶递推算法。算法递推计算基波和谐波参数,不需计算衰减直流分量的幅值和衰减时间常数,数据窗仅为一个周期再加两个采样点。对电力系统中含有两个衰减直流分量的故障电流进行分析和仿真,结果表明,算法得到的基波和各次谐波分量具有较高的精度,计算量小,响应速度快,易于实现,有着良好的应用前景。更多还原

【Abstract】 First ,t he error caused by the decaying DC component in traditional Fourier algorithm is analyzed, and the accurate expression of the error is deducted. T hen ,the fundamental frequency component and each harmonic are estimated recursively by eliminating the error from the result of traditional Fourier algorithm, without calculating the amplitude of decaying component and decaying time constant .A t last, t he analysis and simulation of fault current with two decaying DC components are conducted. With a data window of only a full-wave and two additional samples, the algorithm is of simple calculation and fast response ,and is convenient to be realized.The high accuracy and other good performances of the algorithm promise a broad application prospects.更多还原