应用FFT高精度快速计算瞬态响应

为了提高瞬态响应的计算速度和精度，构造了基于快速傅立叶变换的响应计算格式，并研究了这种格式的本质。理论分析和数值仿真表明：ａ所提的计算格式能够提高速度８ 倍；ｂ基于抛物线型求积公式的算法精度最高；ｃ只要频域采样点数 Ｍ 超过时域采样点数２ 倍，计算精度就与 Ｍ无关。

On the High Speed and Accuracy Computation of Transient Response by FFT

In order to increase computation speed and accuracy of transient response,the algorithms based on fast Fourier transformation were constructed, and the essence of the algorithms were also explored. The theoretical analysis and numerical simulation show that: 1)the presented algorthms improve the computation speed up to 8 times; 2)the algorithm based on Simpson'rule has the best accuracy; 3)if the sampling point number(M) in frequency domain is larger than 2 times of sampling point in time domain,the accuracy has nothing to do with M.