[1]李梅,丁涛,顾伟,等.频率偏移情况下的同步相量修正[J].东南大学学报(自然科学版),2011,41(4):744-749.[doi:10.3969/j.issn.1001-0505.2011.04.017]
 Li Mei,Ding Tao,Gu Wei,et al.Synchronous phasor correction under frequency offset[J].Journal of Southeast University (Natural Science Edition),2011,41(4):744-749.[doi:10.3969/j.issn.1001-0505.2011.04.017]
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频率偏移情况下的同步相量修正()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
41
期数:
2011年第4期
页码:
744-749
栏目:
电气工程
出版日期:
2011-07-20

文章信息/Info

Title:
Synchronous phasor correction under frequency offset
作者:
李梅12丁涛1顾伟1万秋兰1
(1东南大学电气工程学院,南京 210096)
(2安徽理工大学电气工程学院,淮南 232001)
Author(s):
Li Mei12Ding Tao1Gu Wei1Wan Qiulan1
(1School of Electrical Engineering, Southeast University, Nanjing 210096, China)
(2School of Electrical Engineering, Anhui University of Science and Technology, Huainan 232001, China)
关键词:
PMU频率偏移0/0型一致逼近
Keywords:
phasor measurement units frequency offset 0/0 model uniform approximation
分类号:
TM73
DOI:
10.3969/j.issn.1001-0505.2011.04.017
摘要:
针对频率偏移导致离散傅里叶变换的幅值和相角的误差,提出了一种关于同步相量修正的方法,解决了在频率偏差较小时可能出现的0/0型数据漂移的问题,并分别利用一次和二次函数的一致逼近,对修正方程进行化简,得到工程实用的幅值修正表达式.幅相空间表明,频率偏差将原来圆形特性变为椭圆特性,通过对椭圆极坐标方程进行了合理地简化,避免了由于正切函数不连续带来的相角突变的问题.对上述修正进行了数学误差分析,结果表明修正后的幅值和相角误差均在0.3%内,可满足实际工程要求.研究有噪声的信号可以看出,随着信噪比的增加,修正的效果越不明显,因此合理设计低通滤波器是必不可少的.
Abstract:
Since frequency offset may cause amplitude and phase angle error in discrete Fourier transform, a method of synchronization phasor correction is put forward, which solves the problem of 0/0 data for deviation in frequency. By uniform approximation using linear and quadratic function the correction equation is simplified and practical amplitude modification expression is derivated. Frequency offset turns round properties to oval properties in amplitude and phase space, and elliptic polar equation is rationally simplified, which avoids the angle mutations caused by discontinuity of tangent function. The mathematical error of this correction was analyzed, and the results show that after correction the errors of amplitude and phase are less than 0. 3%, which can meet the engineering requirement. Besides, simulation of signal with noise shows that the correction effect is getting worse when the signal to noise ratio increases. Therefore reasonable design of low pass filter is indispensable.

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备注/Memo

备注/Memo:
作者简介:李梅(1978—),女,硕士,讲师;万秋兰(联系人),女,教授,博士生导师,qlwan@seu.edu.cn.
基金项目:国家自然科学基金资助项目(50907008,60974036).
引文格式: 李梅,丁涛,顾伟,等.频率偏移情况下的同步相量修正[J].东南大学学报:自然科学版,2011,41(4):744-749.[doi:10.3969/j.issn.1001-0505.2011.04.017]
更新日期/Last Update: 2011-07-20