摘要
综合考虑测量误差和参数误差,提出利用总体最小二乘估计算法进行谐波状态估计。将母线分为非谐波源母线和可能有谐波源的母线,减少了未知状态变量的数目。通过IEEE 14节点谐波测试系统进行了仿真分析,验证了该方法的合理性和可行性。采用Matlab计算程序,随机抽样10000次,分析了测量误差和参数误差都服从高斯分布时谐波状态估计算法的精度。结果表明,在考虑测量和参数2种误差的情况下,用总体最小二乘法对系统进行谐波状态估计能得到有效的估计结果。
Total least squares （TLS） is proposed to complete harmonic state estimation when parameter and measurement errors are both taken into consideration. The buses are partitioned into subsets of non-source buses and suspicious buses, thereby reducing the number of unknown state variables. The validity and practicability of this approach is validated using the IEEE-14bus harmonic testing system. The estimation precision is analyzed by random sampling 10 000 times in Matlab when measurement errors and parameter errors followed a Gaussian distribution. The results show that an accurate estimate can be obtained using TLS if parameter and measurement errors are considered.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第2期146-150,共5页
Journal of Chongqing University
基金
重庆市自然科学基金资助项目(CSTC2006BB6220)
关键词
状态估计
谐波分析
测量误差
参数误差
总体最小二乘
state estimation
harmonic analysis
measurement errors
parameter errors
total least squares
