Optimal power flow problem using Interior-Point method with block structure

This work focuses on optimizing power flow in the electrical sector, considering uncertainties in energy demand, to minimize costs and energy loss, within the constraints of the physical network. We use a two-stage stochastic programming creating discrete scenarios associated with the uncertainty of demand. The problem is solved using MSSO-BlockIP, a specialized software employing the Interior-Point Method for stochastic programming. The work presents the mathematical formulation using splitting variables and provides computational results, comparing this approach with a traditional one. The findings indicate that the proposed method yields solutions consistent with Gurobi, achieving notable improvements in terms of running time and the number of iterations.