Development of newton-raphson power-flow method based on second order multiplier

The first order Newton-Raphson (NR) method is considered as the state of the art for power flow calculations. This method has been widely used in industry applications. However, this method started to lose ability to converge in case of ill-conditioned systems (heavy load, high R/X ratio, etc.). This due to the singularity of Jacobian matrix for this method. Hence, this paper develops an efficient NR method for power-flow solution of large scale ill-conditioned power systems. The developed technique uses the second order multiplier (SOM) to accelerate the convergence and reduce the computation time of power-flow in case of ill-conditioned systems. The developed algorithm is validated using standard IEEE 30-bus, IEEE 57-bus, IEEE 118-bus test systems. The result shows that the developed power-flow technique is able to find the power flow solution for small and large power systems in case of well and ill-conditioned cases.