Orthogonal sparse vector methods (power system applications)

Sparse vector methods speed up solutions of power network equations based on triangular factorization. Until now, these methods have not been used with orthogonal factorization, the most numerically stable method for least squares state estimation. An explanation is given for the extension of sparse vector methods to Givens rotations, the form of orthogonalization most suitable for power system state estimation. The methods can speed up orthogonal estimation algorithms in several ways. Their advantages are demonstrated on real-life networks.<>