This article presents a system stability assessment for an academic representation of the electric power system of Paraguaná (Venezuela), by considering the asynchronous wind generators and the synchronous generators. The synchronous network is robust in some cases, and weak in other cases, depending on the connection or not to the National Electric Power Grid. Two cases of induction generators are analyzed: a) without control, like now they are; b) doubly-fed induction generators. Results show the relationship between the wind generation penetration and the power system stability, and the differences in the dynamic behavior of the power system by considering the two types of analyzed induction wind generators.