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Influence of Voltage and Current Samples Errors on the Reactive Power Measurement Error

Currently, for reactive power measurement the digital measurement methods are applied both in time and in frequency domain. When determination of the voltage and current samples, the errors of the measurement channels exists that results to the reactive power measurement error. The most important case of the occurrence of the voltage and current samples measurement errors is an analog-to-digital converter (ADC). The measurement errors of voltage and current samples can be divided into the following components: additive, multiplicative, linearity and quantization. The paper consider the influence of each of the listed error components on the reactive power measurement error for the time domain and frequency domain measurement method. Analytical expressions are obtained that relate each component of the samples error and the reactive power measurement error. The methods for representing the ADC nonlinearity and their influence on the reactive power measurement error are considered. By using the Simulink and Matlab software package, a simulation model of voltage and current measurement channels and the influence on the reactive power measurement error was obtained. The reliability of the obtained analytical expressions is confirmed by the coincidence of the simulation results and analytical expressions at check points.