Objective:

This work analyzes the optimal expansion cost, the number of lines to include, and the computational simulation time for two transmission systems, using mixed-integer nonlinear programming through the solvers of the GAMS (General Algebraic Modeling System) software. The objective is to determine the differences in expansion costs using the transport model, DC model, linear hybrid, and disjunctive linear.

Methodology:

The methodology of this study is divided into five stages. The first identifies the transmission system; the second establishes the transmission system planning problem; the third performs the formulation of the power system according to each of the optimization models; the fourth applies the formulation of the power system in the GAMS software; the last selects the optimal cost.

Results:

Considering the optimal cost analysis, the DC model and the disjunctive linear model present the highest optimal cost concerning the transport model and the linear hybrid model.

Conclusions:

The implemented models presented equivalent performances in the test system with the smallest number of nodes; by increasing the number of nodes, the performance of the models does not present similarity. On the contrary, the results present significant differences that allow characterizing specific solvers according to the number of nodes.