电工技术学报2016,Vol.31Issue(21):67-74,8.
基于正交变换与置信域的量测方差估计与权重设置算法
Measurement Variance Estimation and Weights Configuration Algorithm Based on Orthogonal Transformation and Trust Region
摘要
Abstract
In the practical applications of state estimation, it is difficult to obtain the measurement variances and set the weights of measurements. With the computation of state estimation getting harder, the convergence of the existing measurement variance estimation algorithm can not be guaranteed. To solve this problem, an algorithm based on orthogonal transformation and trust region to estimate measurement variance and set weight is proposed in this paper. The numerical stability of measurement variance estimation is improved by the orthogonal transformation method, which can reduce the condition number of the coefficient matrix at each iteration. According to the reduced results of orthogonal transformation, combining with Lagrange multipliers method, a new measurement variance estimation model is established. The trust region is considered as the constraint of the objective function to ensure that each estimation result data is in a confidence interval. The simulation results of the IEEE 14 bus system, IEEE 30 bus system and IEEE 118 bus system show the effectiveness of the proposed algorithm.关键词
状态估计/正交变换/置信域/量测方差/权重/收敛性Key words
State estimation/orthogonal transformation/trust region/measurement variance/weight/convergence分类
信息技术与安全科学引用本文复制引用
卢志刚,田莎莎,邵奇,吴杰..基于正交变换与置信域的量测方差估计与权重设置算法[J].电工技术学报,2016,31(21):67-74,8.基金项目
国家自然科学基金(61374098)、教育部高等学校博士学科点专项科研基金(20131333110017)和河北省研究生创新项目(00302-6370032)资助。 (61374098)