A Robust Regularized Hybrid State Estimator for Power Systems

作者：Mallik Sanjeev Kumar^*; Chakrabarti Saikat; Singh Niwas

来源：Electric Power Components and Systems, 2014, 42(7): 671-681.

DOI：10.1080/15325008.2014.890968

• ill-conditioned matrix
• singular value decomposition
• regularization
• L-curve
• condition number
• hybrid state estimation
• LU factorization

Abstract-Numerical instability is an inherent issue with power system state estimation, and much effort has been made to overcome this issue using numerical techniques to ensure stability. This article proposes a regularization-based method for solving ill-conditioned hybrid state-estimation problems in the presence of equality constraints. The iterative linear state-estimation problem is solved by using Tikhonov regularization. The trade-off between the residual norm and the regularized norm is controlled by the regularization parameter in the regularization method. The regularization method employs an L-curve criterion for optimal selection of the regularization parameter. At the post-estimation stage, the correction in voltage phasor at the zero-injection bus is applied using Kirchhoff's current law. The proposed method is analyzed and tested for IEEE 14- and 118-bus test systems, as well as for a 13-bus ill-conditioned system.

• 出版日期2014-5-19