Primal dual interior point algorithm for constrained economic load dispatch and optimal power flow

Optimal power flow is an optimization problem which minimizes the total generation dispatch cost satisfying the voltage and reactive power constraints in the electric network. In other words it is an extension of the Constrained Economic Load Dispatch (CELD) model. In this paper generalized Constrained Economic Load Dispatch problem is solved by Primal-Dual Interior Point Algorithm (PDIP) where the Hessian matrix is solved by both analytical and numerical method for various thermal generating units. Secondly, the optimal power flow problem is solved in a non-linear manner based on the Karush-Kuhn-Tucker (KKT) conditions considering the equalities and inequalities simultaneously using the PDIP algorithm for a 3-machine 9-bus system and the minimal cost of operating the generators is determined. The findings affirm the fast convergence, robustness and proficiency of the algorithm used over the other existing methodologies in the literature.