卷积窗及其在电力系统参量估计中的应用

Convolution Window and Application in AC Electrical Parameters Estimation

利用矩形窗的多重卷积 ,导出一类新的窗函数 ,称其为卷积窗 ,并研究其在电力系统的参数估计中的应用 .误差分析和数值模拟表明 :若采用k阶矩形卷积窗 (矩形窗的k重卷积 ) ,各电气参量测量值的误差正比于相对频偏的k次方 .在电力系统中 ,只需取 4阶窗函数 ,便可将因非同步采样引起的测量误差降低到 10 -7的量级 。

Convolution window functions are presented, which are produced by the convolutions of rectangular windows, Its application in the estimation of AC electrical parameters is investigated. Both error analysis and numerical simulation show that the measuring error is proportional to kth power of the relative frequency deviation if the kth order convolution window is used. In the power network, the relative measuring errors caused by asynchronous sampling could be reduced to the order of 10-7 when 4th order convolution window is used, no special synchronous sampling technique is adopted.