This paper describes about the rarely Newton Raphson formulation for solving the power flow
problem, consist of the injetion 2n current equation written on rectangular coordinate. The Jacobian
matrix has same structure such as admittance matrix knot (Zn x Zn), where each network branch
represented by block (2 x 2). Execptable for PV bus. Diagonal-of block (2 x 2) from jacobian equation
was proposed as some in admittance matrix knot. The result indicate that the proposed methods for
solving the power flow is faster, its than the conventionally Newton Raphson formulation, expressed in
imbalanced power condition which written in polar coordinate.