Developments in the Newton Raphson power flow formulation based on currentinjections

This paper describes a sparse Newton Raphson formulation for the solution o f the power flow problem, comprising 2n current injection equations written in rectangular coordinates. The Jacobian matrix has the same structure as the (2n x 2n) nodal admittance matrix, in which each network branch is repr esented by a (2 x 2) block. Except for PV buses, the off-diagonal (2 x 2) b locks of the proposed Jacobian equations are equal to those of the nodal ad mittance matrix. The results presented show the proposed method leads to a substantially faster power flow solution, when compared to the conventional Newton Raphson formulation, expressed in terms of power mismatches and wri tten in polar coordinates.