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
Download:
IMEKO-TC4-2017-014.pdf
DOI:
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Event details
IMEKO TC:
TC4
Event name:
TC4 Symposium 2017
Title:

22nd IMEKO TC4 Symposium and 20th International Workshop on ADC Modelling and Testing
"Supporting world development through electric&electronic measurements"

Place:
Iasi, ROMANIA
Time:
14 September 2017 - 15 September 2017