Measurement Variance Estimation and Weights Configuration Algorithm Based on Orthogonal Transformation and Trust Region
Lu Zhigang1,Tian Shasha1,2,Shao Qi1,3,Wu Jie1
1.Hebei Key Lab of Power Electronics for Energy Conservation and Motor Drive Yanshan University Qinhuangdao 066004 China 2.State Grid Cangzhou Electric Power Supply Company Cangzhou 061000 China 3.State Grid Tianjin Procurement Company Tianjin 300304 China
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.
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.
Lu Zhigang,Tian Shasha,Shao Qi,Wu Jie. Measurement Variance Estimation and Weights Configuration Algorithm Based on Orthogonal Transformation and Trust Region. Transactions of China Electrotechnical Society, 2016, 31(21): 67-74.
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2016, Vol. 31 
