The plannification of the transmission system expansion is a very complex problem. In this work it is proposed a mathematical programming model to solve it, taking in account the restrictions established by the brazilian electric sector. It is shown the characteristics of some technics for solving the problem and a brief description of the transmission network analysis methods is also presented. It is proposed a new methodology to solve the planning problem, taking in account the planners experience. They are able to interfere on the process interacting with the program looking fot better solutions. An integer programming model was developped to obtain Several distinct expanded configurations for every year of the planning horizon. These configurations are analysed and then linked year, to obtain an expansion policy of the transmission sistem. It is presented the actual planning of the southern brazilian system, and the result obtained by this model are compared with those obtained by other methodologies.