A step-wave flattening zone identification method for novel power system

Yang Yuyao; Zhong Lihua; Pan Feng; Feng Lei; Zhang Chuang; Guo Shuai

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A step-wave flattening zone identification method for novel power system

更新时间：2026-10-15

- A step-wave flattening zone identification method for novel power system
- Vol. 63, Issue 10, (2026)
- 作者机构：
  
  1. 广东电网有限责任公司计量中心
  2. 黑龙江省电工仪器仪表工程技术研究中心有限公司
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2026
- 稿件说明：
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Yang Yuyao, Zhong Lihua, Pan Feng, et al. A step-wave flattening zone identification method for novel power system[J]. 2026, 63(10).
DOI：

Yang Yuyao, Zhong Lihua, Pan Feng, et al. A step-wave flattening zone identification method for novel power system[J]. 2026, 63(10). DOI：

摘要

正弦型阶梯波是对正弦信号的近似重建，现有研究大多忽略过渡区数据特性，特别是吉布斯振荡对平坦区宽度的影响尚未得到关注，采用数学模型探明过渡区边界进而得到平坦区的研究不够深入。文章分析了正弦型阶梯波吉布斯振荡的产生机理，建立有限项傅里叶级数截断时吉布斯振荡数字表征方法，以幅值包络追踪振荡曲线衰减程度，构建以数学模型为基础的阶梯波平坦区量化数学表达式，实现阶梯波两端“自适应”取点。基于所提方法研制的工频交流量子标准电能表，归一化误差均在0.2~0.4之间，提升了量子测量的精度与稳定性，从而为量子电压溯源运行优化提供新的思路。

Abstract

The sine-type step waveform is an approximate reconstruction of a sine signal. Most existing research has neglected the characteristics of data in the transition region

especially the impact of Gibbs oscillations on the width of the plateau region

which has not yet received attention. The research on exploring the boundary of the transition region using mathematical models to obtain the plateau region is not deep enough. This paper analyzes the generation mechanism of Gibbs oscillations in sine-type step waveforms

establishes a digital representation method for Gibbs oscillations when truncating the Fourier series with finite terms

tracks the attenuation degree of the oscillation curve using amplitude envelope

constructs a quantitative mathematical expression for the plateau region of the step waveform based on mathematical models

and realizes “adaptive” point selection at both ends of the step waveform. The industrial frequency AC quantum standard electric energy meter developed based on the method proposed in this paper has a normalized error ranging from 0.2 to 0.4

improving the accuracy and stability of quantum measurement

thus providing new ideas for optimizing the operation of quantum voltage traceability.

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