Power flow calculation for ill-conditioned systems. Simplified Newton method with SVD partial regularization

The paper illustrates a potential numerical method to be applied when dealing with ill-conditioned systems of equations. Partial regularization of the affected sub matrices for a partitioned global matrix appears to be cost effective and to add stability to the solution process. The effective application refers to the power flow analysis. An illustrative numerical example is presented for a 4 bus power system. The presented method was successfully implemented in a power flow analysis computer program.