Expansion of a transmission system using LOPF-AC

Introduction- In this document we transform the OPF-AC equations into a system of linear constraints using Taylor series, for which a LOPF-AC model is acquired, accurate and applicable to guarantee the minimization of losses in the whole system. Objective- To minimize the electrical losses in the expansion of the transmission system. Methodology- It is based on linearizing OPF-AC equations by Taylor series, to obtain a linear problem. Results- The model determines which lines should be implemented and which ones should be reinforced, considering the lower cost and the minimization of losses. Conclusions- The total demand of the network plus the loading projection of the different cases for the expansion of the transmission system is supplied normally, complying with the established parameters of generation and transmission together with the constraints of the algorithm to obtain an optimal performance in the TEP.