Variance analysis of robust state estimation in power system using influence function
Ho, Weng Khuen
Ling, Keck Voon
Date of Issue2017
School of Electrical and Electronic Engineering
An analytical equation is derived using influence function approximation to calculate the variance of the state estimate for traditional robust state estimators such as the Quadratic-Constant, Quadratic-Linear, Square-Root, Schweppe-Huber Generalized-M and Multiple-Segment estimator. The equation gives insights into the precision of the estimation. Using the equation, the variance of a state estimate can be expressed as a function of measurement noise variances enabling the selection of sensors for a specified estimator precision. It can also be used to search for the optimum estimator parameters to give the minimum sum of variances. The well-known Weighted-Least-Squares variance formula is a special case of the equation and simulations on the IEEE 14-bus system are given to show the usefulness of the equation.
Robust state estimation
International Journal of Electrical Power & Energy Systems
© 2017 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Electrical Power & Energy Systems, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.ijepes.2017.04.009].