Effect of Quantization Errors on Power Measurement Error Based on General Cyclostationary Stochastic Process

Xuewei Wang, Yanjun Wang, Lei Wang, Xiaojuan Peng, Zhengsen Jia

Abstract

In digital energy metering systems, the effect of quantization errors on the power measurement error cannot be ignored. In this paper, to clearly analyze the effect, structural models of a digital energy metering system and a power measurement element (PME) are established. The propagation of errors among the internal components of the digital energy metering system is revealed in detail. A method for analyzing the effect of quantization errors on the power measurement error based on general cyclostationary stochastic process is proposed, and mathematical model for calculating the power measurement error affected by quantization errors is derived. The results by Monte Carlo simulation verify the validity of the proposed method. Compared to conventional methods, the proposed method for analyzing the effect of quantization errors on the power measurement error is universally applicable and solves the persistently unsolved analytical relation of the power measurement error considering the effect of quantization errors. The proposed method can serve as a theoretical basis for power measurement error estimation.

Keywords

digital energy meter, structural model, quantization error, general cyclostationary stochastic process, power measurement error

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IMEKO-TC4-2017-014.pdf

DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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