A regularized method for solving ill-conditioned hybrid state estimation problem

Numerical ill-conditioning is a frequently encountered problem in power system state estimation. In this paper, a regularization based method for solving ill-conditioned state estimation problems is proposed. The methodology is based on Tikhonov regularization, and the regularization parameter is selected by using L-curve method. The proposed state estimator is able to handle the numerical problems associated with the presence of highly accurate synchronized measurements along with less accurate conventional asynchronous measurements. The proposed method is analyzed and tested for IEEE 14-bus test system.