Among the renewable energies, wind power has reached undoubtedly the greatest degree of maturity, although such maturity is based on the development of large-scale installations using larger machines every time. In recent years interest has grown in small wind generators, which allow access to this type of energy to small farms and to areas with difficult access. In this work, is performed the study of a permanent magnet synchronous generator (PMSG) using finite elements for such small applications. Various tests have been carried out to simulate no-load and short circuit conditions at different speeds in order to obtain data from these trials about their future behaviour.