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基于分段Romberg数值积分的电能表计量误差计算方法

Calculation Method for Measurement Error of Electric Energy Meter Based on Segmented Romberg Numerical Integration

  • 摘要: 电能表计量时会受到不同动态负荷条件影响,导致电流和电压波形发生畸变,出现计量误差。使用单一方法计算误差时,出现了计算结果与实际值不一致的问题。为此,提出了基于分段Romberg数值积分的计算方法。采用电能表动态误差测试装置,分析不同动态负荷条件对电能表计量性能影响,计算负荷动态变化下的计量结果偏差。使用分段Romberg数值积分法,通过动态划分积分区间并迭代优化,处理宽幅值波动、高频谐波干扰的非稳态信号,获取电能表动态误差计算结果。由实验结果可知,在不同温度、湿度环境下,使用该方法的误差计算结果与实际分别仅存在最大0.05、0.02的偏差,说明使用该方法计算结果精准。

     

    Abstract: The measurement of electric energy meters is affected by different dynamic load conditions, resulting in distortion of current and voltage waveforms and measurement errors. When using a single method to calculate errors, there is a problem of inconsistency between the calculated results and the actual values. Therefore, a calculation method based on segmented Romberg numerical integration is proposed. Using a dynamic error testing device for electric energy meters, analyze the impact of different dynamic load conditions on the measurement performance of electric energy meters, and calculate the measurement result deviation under dynamic load changes. Using the segmented Romberg numerical integration method, by dynamically dividing the integration interval and iteratively optimizing, non steady state signals with wide amplitude fluctuations and high-frequency harmonic interference are processed to obtain the dynamic error calculation results of the electric energy meter. According to the experimental results, it can be seen that under different temperature and humidity environments, the error calculation results using this method only have a maximum deviation of 0.05 and 0.02 from the actual results, indicating that the calculation results using this method are accurate.

     

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