基于统计方法的电网谐波状态估计误差分析

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摘要谐波状态估计是谐波治理的基础, 其精度与量测误差、谐波网络参数以及状态估计算法都密切相关。采用统计方法, 运用概率密度函数和累计概率密度函数, 通过IEEE-14节点谐波测试系统进行抽样计算和分析, 研究了谐波状态估计误差问题。针对已有的谐波状态估计对误差分析只考虑量测误差以及正态分布的情况, 探讨了量测误差和参数误差分布分别满足正态分布或均匀分布时, 各次谐波状态估计的误差。分析了误差不确定性的大小对精度的影响。谐波状态估计算法采用计及参数和测量误差的总体最小二乘算法。结果表明在谐波网络拓扑结构不变时估计值的概率密度曲线都近似成正态分布, 且谐波次数越高其置信区间越窄。参数误差对谐波状态估计的影响不可忽略, 总体最小二乘算法对正态分布的误差有较好的抑制作用。

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	周念成
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	何建森
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	杨芳

关键词 ：谐波状态估计, 总体最小二乘法, 量测误差, 参数误差, 误差分析

Abstract：Harmonic state estimation (HSE) is the basis of harmonic elimination, and its precision is largely dependent on the measurement errors, harmonic network parameters and the algorithm. The IEEE 14-bus harmonic testing system was used as an example and the error analysis of the estimation result was conducted by use of the statistical approach such as probability density functions and cumulative probability density functions. When measurement errors and parameter errors obey gauss distribution or uniform distribution, the errors of HSE were investigated and the corresponding effect of uncertainty errors was analyzed. The total least squares(TLS) for HSE was adopted and the algorithm had considered both the parameter and measurement errors. The results indicate that the estimated values are obeying gauss distribution approximately when the topological structure of harmonic network is fixed, and the higher harmonic order is, the narrower of fiducial interval will be. The parameter errors for the HSE cannot be neglected, and the TLS has better inhibition about the gauss distribution error.

Key words： Harmonic state estimation total least squares measurement errors parameter error error analysis

收稿日期: 2008-02-25 出版日期: 2014-02-14

PACS:

TM711

基金资助:重庆市自然科学基金资助项目(CSTC, 2006BB6220)

作者简介: 周念成男, 1969年生, 博士, 副教授, 研究方向为电力系统自动化和电能质量。谭桂华女, 1983年生, 硕士研究生, 研究方向为电力系统自动化和电能质量。

引用本文:

周念成, 谭桂华, 何建森, 赵渊, 杨芳. 基于统计方法的电网谐波状态估计误差分析[J]. 电工技术学报, 2009, 24(6): 109-114. Zhou Niancheng, Tan Guihua, He Jiansen, Zhao Yuan, Yang Fang. Error Analysis in Harmonic State Estimation of Power System Based on the Statistical Approach. Transactions of China Electrotechnical Society, 2009, 24(6): 109-114.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2009/V24/I6/109

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