A robust method for equality constrained state estimation

摘要

This paper presents a robust method for the solution of thenequality constrained state estimation problem. The problem is formulatednas a weighted least squares (WLS) problem with equality constraints.nTraditionally the problem is solved iteratively by the normal equationsnwith equality constraints (NE/C). One problem of NE/C is that the gainnmatrices are not positive definite and extra logic is required tonprocess the zero pivots during Gaussian elimination. In this. paper,npositive definite gain matrices are formulated and triangularization isnperformed symbolically using sparsity techniques. The method isnillustrated with a six-bus system and the IEEE 14-bus system