结合信号谐波特性的均值参数测量窗设计

陈砚圃; 解云虹; 周秦武; 丁海洋

doi:10.7652/xjtuxb202205019

您当前的位置：

首页 >

文章列表页 >

结合信号谐波特性的均值参数测量窗设计

更新时间：2025-07-09

- 结合信号谐波特性的均值参数测量窗设计
- Designing Mean Parameter Measurement Window Based on Signal Harmonic Characteristics
- 西安交通大学学报 2022年56卷第5期页码：191-198
- 作者机构：
  
  1. 西京学院信息工程学院,西安,710123
  2. 国防科技大学信息通信学院试验训练基地,西安,710106
  3. 西安交通大学生物医学信息工程教育部重点实验室,西安,710049
- 作者简介：
  
  : 2021-09-10。作者简介: 陈砚圃(1963—),男,教授。基金项目: 国家自然科学基金资助项目(61871387)
- 基金信息：
  
  : 2021-09-10。作者简介: 陈砚圃(1963—),男,教授。基金项目: 国家自然科学基金资助项目(61871387)
- DOI：10.7652/xjtuxb202205019
  中图分类号： TN911.6
- 网络首发：2022-05-10，
  
  纸质出版：2022
- 稿件说明：
移动端阅览
陈砚圃, 解云虹, 周秦武, 等. 结合信号谐波特性的均值参数测量窗设计[J]. 西安交通大学学报, 2022,56(5):191-198.

CHEN Yanpu, XIE Yunhong, ZHOU Qinwu, et al. Designing Mean Parameter Measurement Window Based on Signal Harmonic Characteristics[J]. 2022, 56(5): 191-198.
陈砚圃, 解云虹, 周秦武, 等. 结合信号谐波特性的均值参数测量窗设计[J]. 西安交通大学学报, 2022,56(5):191-198. DOI： 10.7652/xjtuxb202205019.

CHEN Yanpu, XIE Yunhong, ZHOU Qinwu, et al. Designing Mean Parameter Measurement Window Based on Signal Harmonic Characteristics[J]. 2022, 56(5): 191-198. DOI： 10.7652/xjtuxb202205019.

摘要

为了有效抑制准周期信号均值类参数测量时由信号频率的起伏变化和对信号的非同步采样引入的误差

对加窗函数采用组合余弦表示并结合周期信号频谱的谐波特性

提出了一种用于准周期信号均值类参数高精度测量的加窗函数设计方法。首先

基于测量误差在采样同步时为零

并对采样不同步不敏感

分别导出了组合余弦窗的有效条件及其优化设计的平坦性准则; 进而以平坦性准则为约束建立了组合余弦窗的系数方程组; 最后通过求解方程组确定组合余弦窗的系数

实现了组合余弦窗的优化设计。采用优化组合余弦窗对信号加窗

能够最大限度地抑制各谐波之间的泄漏干扰

显著降低了均值类参数的测量误差。基于组合余弦窗的平坦性准则对广为应用的矩形卷积窗的最优性进行了分析

揭示出在各信号谐波频点处矩形卷积窗的频谱满足相同的平坦性。对典型信号有效值的测量进行数值模拟表明:信号频率在±10%之内起伏变化时

与同宽的矩形卷积窗相比

采用窗宽为2个和3个信号周期的优化组合余弦窗后测量精度分别提高了11倍和27.5倍以上。

Abstract

To control the errors caused by the frequency fluctuation and non-synchronous sampling in measuring mean parameters of the quasi-periodic signal

the window function is represented by combined cosines

and a window function design approach for precisely measuring mean parameters of the quasi-periodic signal is proposed here based on harmonic characteristics of the periodic signal spectrum. Firstly

effective conditions for a combined cosine window and flatness criteria for its optimization design are derived respectively on the basis that the measurement error is zero in the case of synchronous sampling and is insensitive to non-synchronous sampling. And then

the equations for the coefficient of the combined cosine window are created with the constraint of flatness criteria. Finally

these equations are solved to determine the coefficient

thus optimizing the design of the combined cosine window. By windowing the signal with the optimized combined cosine window

it can minimize the leakage interference between harmonics and significantly reduce the measurement error of mean parameters. Widely used rectangular convolution windows are analyzed for optimality based on the flatness criteria

and the analysis results show that the spectra of all these windows are equally flat at each signal harmonic frequency. The numerical simulation of typical signal RMS measurement shows that when the signal frequency fluctuates within ±10%

compared with the rectangular convolution window of the same width

the measurement accuracy is improved by more than 11 times and 27.5 times respectively after using the optimized combined cosine windows with the widths of 2 and 3 signal periods.

关键词

Keywords

references

戴先中. 准同步采样及其在非正弦功率测量中的应用 [J]. 仪器仪表学报, 1984, 5(4): 309-396.

DAI Xianzhong. The quasisynchronous sampling and its application in the measurement of nonsinusoidal power [J]. Chinese Journal of Scientific Instrument, 1984, 5(4): 309-396.

温和, 滕召胜, 曾博, 等. 基于三角自卷积窗的介损角测量算法及应用 [J]. 电工技术学报, 2010, 25(7): 192-198.

WEN He, TENG Zhaosheng, ZENG Bo, et al. Dielectric loss angle measurement algorithm and application based on triangular self-convolution window [J]. Transactions of China Electrotechnical Society, 2010, 25(7): 192-198.

万全, 高云鹏, 罗志坤, 等. 基于Nuttall窗频谱校正的介质损耗因数测量 [J]. 仪器仪表学报, 2010, 31(1): 15-20.

WAN Quan, GAO Yunpeng, LUO Zhikun, et al. Dielectric loss factor measurement based on Nuttall window spectral correction [J]. Chinese Journal of Scientific Instrument, 2010, 31(1): 15-20.

孟卓, 温和, 李华, 等. 电压不平衡度的准同步采样快速测量方法 [J]. 仪器仪表学报, 2015, 36(3): 574-583.

MENG Zhuo, WEN He, LI Hua, et al. Fast measurement method for voltage unbalance factor based on quasi-synchronous sampling algorithm [J]. Chinese Journal of Scientific Instrument, 2015, 36(3): 574-583.

FLORES-ARIAS J M, ORTIZ-LOPEZ M, QUILES LATORRE F J, et al. A memory-efficient true-RMS estimator in a limited-resources hardware [J]. Energies, 2019, 12(9): 1699.

TYAGI T, PARASURAMAN S. Finer granularity DFT bins with moving window for capacitance sensing [J]. IEEE Transactions on Industrial Informatics, 2021, 17(1): 504-513.

FERRERO A, OTTOBONI R. A low-cost frequency multiplier for synchronous sampling of periodic signals [J]. IEEE Transactions on Instrumentation and Measurement, 1992, 41(2): 203-207.

KOLANKO J K. Accurate measurement of power, energy, and true RMS voltage using synchronous counting [J]. IEEE Transactions on Instrumentation and Measurement, 1993, 42(3): 752-754.

DAI Xianzhong, GRETSCH R. Quasi-synchronous sampling algorithm and its applications [J]. IEEE Transactions on Instrumentation and Measurement, 1994, 43(2): 204-209.

NUTTALL A. Some windows with very good sidelobe behavior [J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1981, 29(1): 84-91.

SHUAI Zhikang, ZHANG Junhao, TANG Lu, et al. Frequency shifting and filtering algorithm for power system harmonic estimation [J]. IEEE Transactions on Industrial Informatics, 2019, 15(3): 1554-1565.

ZHANG Jieqiu, LIANG Changhong, CHEN Yanpu. A new family of windows: convolution windows and their applications [J]. Science in China: Series E Engineering Materials Science, 2005, 48(4): 468-481.

陈砚圃, 张介秋. 周期信号均值型参数的矩形卷积窗加权测量 [J]. 探测与控制学报, 2020, 42(3): 51-56.

CHEN Yanpu, ZHANG Jieqiu. Measurement and analysis of periodic signal parameters based on rectangular convolution window weighting [J]. Journal of Detection Control, 2020, 42(3): 51-56.

谢航, 廖与禾, 林京. 一种含噪声多模态调频调幅信号的提取方法 [J]. 西安交通大学学报, 2012, 46(7): 93-97.

XIE Hang, LIAO Yuhe, LIN Jing. Amplitude modulation-frequency modulation multi-mode noise signal extraction by short-time Fourier transform [J]. Journal of Xi'an Jiaotong University, 2012, 46(7): 93-97.

KITZIG J P, BUMILLER G. Fast-Decaying sine ramp windows for signals with limited frequency resolution [J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-13.

REDDY M V, SODHI R. An open-loop fundamental and harmonic phasor estimator for Single-Phase voltage signals [J]. IEEE Transactions on Industrial Informatics, 2020, 16(7): 4535-4546.

WU Minshun, LIU Zhiqiang. Noncoherency correction algorithm for removing spectral leakage in ADC spectral test [J]. IEICE Electronics Express, 2016, 13(2): 20150991.

付江铎, 伍民顺, 班诚, 等. 应用于高精度ADC频谱测试的改进加窗技术 [J]. 电子测量与仪器学报, 2020, 34(5): 9-15.

FU Jiangduo, WU Minshun, BAN Cheng, et al. Improved windowing applied to high-precision ADC spectral test [J]. Journal of Electronic Measurement and Instrumentation, 2020, 34(5): 9-15.

刘冬梅, 杨重良, 何怡刚, 等. 基于Rife-Vincent自卷积窗三谱线插值FFT电力谐波分析 [J]. 电子测量与仪器学报, 2016, 30(9): 1351-1360.

LIU Dongmei, YANG Chongliang, HE Yigang, et al. Harmonic analysis of power system based on Rife-Vincent self-convolution window triple-spectral-line interpolation FFT [J]. Journal of Electronic Measurement and Instrumentation, 2016, 30(9): 1351-1360.

刁瑞朋, 孟庆丰. 一种衰减信号加窗频域插值算法 [J]. 西安交通大学学报, 2013, 47(7): 85-90.

DIAO Ruipeng, MENG Qingfeng. Interpolation algorithm for discrete Fourier transforms of weighted damped sinusoidal signals [J]. Journal of Xi'an Jiaotong University, 2013, 47(7): 85-90.

WEN He, LI Chengcheng, TANG Lu. Novel three-point interpolation DFT method for frequency measurement of sine-wave [J]. IEEE Transactions on Industrial Informatics, 2017, 13(5): 2333-2338.

BORKOWSKI J, MROCZKA J, MATUSIAK A, et al. Frequency estimation in interpolated discrete Fourier transform with generalized maximum sidelobe decay windows for the control of power [J]. IEEE Transactions on Industrial Informatics, 2021, 17(3): 1614-1624.

张强, 王海云, 王维庆. 一种新型组合优化谐波分析方法研究 [J]. 电力系统保护与控制, 2020, 48(10): 156-163.

ZHANG Qiang, WANG Haiyun, WANG Weiqing. A new combined optimization harmonic analysis method [J]. Power System Protection and Control, 2020, 48(10): 156-163.

SALVATORE L, TROTTA A. Flat-top windows for PWM waveform processing via DFT [J]. IEE Proceedings: B Electric Power Applications, 1988, 135(6): 346-361.

RELJIN I S, RELJIN B D, PAPIC V D. Extremely flat-top windows for harmonic analysis [J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(3): 1025-1041.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

一种衰减信号加窗频域插值算法

张角凹坑气膜孔对双层壁气膜冷却特性的影响

结构-语义-残差协同的图像压缩框架：面向隐私保护与高保真重建

超临界水异常区域热力学特性研究

采用试验设计方法的第三代CO2气体箔轴承箔片几何参数敏感性分析