Linear Programming Applied to Expansion Planning of Power Transmission System

Transmission expansion planning has always been a rather complicated task. The options for power grid improvements are numerous, however the amount available for investments is always limited. In this way, mixed integer linear programming is an assistant tool for making the most financially viable decision. The objective of this paper is present a solution to an optimization problem, developed through a power system simulated on Anarede software that have an expected load increase in the next 10 years and need reinforcement interventions to maintain the electrical parameters in the equipment and in the load buses inside the equipment capacity and regulatory limits. The optimization problem was modeled in mixed integer linear programming, and with the assistance of Optimization software, the minimization of investments for a system expansion consideration was achieved. It was verified that the installing of a transformer in parallel with transformer 4-5 and the construction of 20 MW of distributed generation in bus 8 represents the minimum cost to solve all electric problems that will appear on this grid in the next 10 years.