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有功功率及功率因数的加权算法
引用本文:张介秋,梁昌洪,陈砚圃,李大斌.有功功率及功率因数的加权算法[J].中国电机工程学报,2003,23(6):19-24.
作者姓名:张介秋  梁昌洪  陈砚圃  李大斌
作者单位:1. 西安电子科技大学天线与微波国家重点实验室,陕西,西安,710071;空军工程大学文理学院,陕西,西安,710038
2. 西安电子科技大学天线与微波国家重点实验室,陕西,西安,710071
3. 西安通信学院计算机,教研室,陕西,西安,710106
基金项目:国家自然科学基金项目(69931030)~~
摘    要:提出了一种能有效地抑制由非同步采样引起的有功功率及功率因数的测量误差的加权算法。推导出任意电压、电流信号的有功功率、功率因数随相对频偏及采样相位变化的一般公式;传统算法的有功功率、功率因数的测量误差与相对频偏成正比;而用该文所提出的三角窗加权算法。有功功率、功率因数的测量误差与相对频偏的平方成正比。该算法实现简单,精度高,当相对频偏不大时,无须专门的同步采样措施即可取得较高的测量精度。

关 键 词:有功功率  功率因数  三角窗加权算法  电力系统  电网
文章编号:0258-8013(2003)06-0019-06
修稿时间:2003年1月15日

A WEIGHTED ALGORITHM FOR ACTIVE POWER AND POWER FACTOR MEASUREMENT
ZHANG Jie-qiu,LIANG Chang-hong,CHEN Yan-pu,LI Da-bin.A WEIGHTED ALGORITHM FOR ACTIVE POWER AND POWER FACTOR MEASUREMENT[J].Proceedings of the CSEE,2003,23(6):19-24.
Authors:ZHANG Jie-qiu    LIANG Chang-hong  CHEN Yan-pu  LI Da-bin
Affiliation:ZHANG Jie-qiu1,3,LIANG Chang-hong1,CHEN Yan-pu2,LI Da-bin2
Abstract:A weighted algorithm is proposed for reducing effectively the error caused by non-synchronous sampling in active power and power factor measurement. A analytic formula about the measuring value of active power and power factor of periodic signal as a function of the relative frequency deviation and the sampling initial phase(or time) is derived;Both theory and numerical computation show that the error of active power and power factor measurement is proportional to the relative frequency deviation when the conventional algorithm is used, while it is proportional to square of the relative frequency deviation when the proposed weighted algorithm is used. The algorithm is characterized by easy implementation, high precision. If the relative frequency deviation is not very large, a higher measuring precision still could be achieved even if the synchronous sampling technique was not utilized.
Keywords:Active power  Power factor  Triangular window  Weighted algorithm  Synchronous error  Periodic signal
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