The new analytical expression for measurement uncertainty in a measuring of RMS value of AC signals as result of nonideal synchronization

Abstract

Synchronous sampling allows alternating current (AC) quantities, such as the root mean square (RMS) values of voltage and power, to be determined with very low uncertainties (on the order of a few parts of 10-6 [1]). In this a new mathematical expression for estimating measurement uncertainties in nonideal synchronization with fundamental frequency AC signals is presented. The obtained results were compared with those obtained with a high-precision instrument for measuring basic AC values. Computer simulation demonstrating the effectiveness of these new expression, are also presented.