The recent developments in power systems, as consequence of the market deregulation and the international treaties, as the ones originated by the Kyoto Protocol, have serious repercussions in power networks. Particularly on distribution networks, given that a large amount of distributed generation units are connected in the grid. For instance, renewable energy sources, that are used as distributed generation, are well-known for being distributed in nature and highly unpredictable. This fact adds a strong constraint on planning and operating the distribution networks that were not originally designed to accommodate distributed generation on a large scale. To this aim, this thesis examines the impact of uncertainties on classical power system planning studies, where classical static and dynamic planning studies are carried out in several power networks taking into account some sources of uncertainty. These uncertainties are modeled in the static studies using a probabilistic and a possibilistic approach. The possibilistic approach offers good advantages over the probabilistic method in terms of time consumption and precision. The maximum wind power penetration is determined for a small mesh network by the probabilistic method using dynamic and static stability simulations of the power system.