This paper proposes a new method for representation of the long-term transmission expansion planning model. The main contribution of this approach is that the developed mathematical model permits to consider the installation of series compensation devices. With the inclusion of these devices, in this new formulation, the objective function becomes non-linear and the behavior of the constraints related to Kirchhoff laws becomes ever more non-linear and complex. In order to validate the proposed model, studies are conducted to verify the active power flow behavior in the presence of series compensation devices. A specialized genetic algorithm, with integer and real codification, was implemented to solve this model. The optimization solution supplies the amount and the local where new transmission lines and series compensation devices must be installed. In the case of series compensation devices, the compensation level capability is also provided. The impacts caused by the installation of the series compensation devices are presented though detailed studies by using the IEEE 24 bus system. The results show that the method has great potential to be applied to real long-term transmission expansion planning problem.
Transmission network expansion planning; series compensation; genetic algorithm
