有效值及有功功率测量的综合误差分析

分析了用加权算法求有效值及有功功率时，同步偏差及量化噪声对测量精度的影响，得到其综合误差公式。结果表明：随着所用权函数阶数的增加，不同步采样引起的测量误差将快速减小以至成为次要因素，量化误差将可能成为主要误差因素。采样数据量化引起的测量误差正比于量化精度而反比于采样点数的开方根。通过增加量化位数及采样点数均可降低数据量化引起的测量误差。

Analysis of Synthetic Error in Measurement of RMS and Active Power

A formula of synthetic errors is obtained from analysis of effect of synchronous error and quantification noise on the measurement precision of the electrical parameters in extracting an effective value and active power by using a weighted algorithm. The results demonstrate that the measurement errors caused by asynchronous sampling decrease rapidly even to a secondary factor, and the quantification errors may become a key factor of errors with the increase of the order number of the weighted function used. The measurement errors of the electrical parameters caused by quantification noise of data are in direct proportion to the precision of quantification and in inverse proportion to the square root of the number of the sampling points. The measurement errors caused by data quantification can be decreased by increasing the number of quantification bits of the data or the number of sampling points.