Newton-Raphson UPFC model for power flow solution of practical power networks with sparse techniques

In this paper, a generalized and improved modeling of the unified power flow controller (UPFC) for Newton-Raphson power flow studies has been presented. Sparse techniques are applied in the formulation and calculation of Jacobian matrix. While numerous studies concerning the utilization of these flexible AC transmission system (FACTS) devices including UPFC have been carried out so far but they are not free from complex mathematical modeling and are not generalized for any FACTS devices. The proposed model can be easily extended to any FACTS devices with minor modification in the Jacobian matrix of the power flow algorithm. The performance of the proposed model has been tested for IEEE-30 bus systems. It has also been observed that the proposed model can be applied to larger systems and do not suffer with computational and mathematical difficulties.