This paper presents a mathematical model of the problem of the planning of systems of electrical distribution which considers the location and sizing of new feeders and substations, and the reconductorazing of existing feeders. The mathematical model used is of the type Lineal Mixed Integer Programming (LMIP) and to solve it, an algorithm of Branch and Bound is used. In order to test the proposed algorithm, the electrical system of the city of Pereira is used. [ABSTRACT FROM AUTHOR]