In this paper, a wind energy converter (WEC) model for the analysis of power fluctuations at an isolated wind plant is presented. The model includes the drive train dynamics, a first-order model for the asynchronous generator, and the power controller. The influence of each element is studied, and the conditions that can provoke oscillations in the power delivered by the WEC are considered. A set of measurements carried out during the setting of an isolated wind plant in the Canary Islands (Spain) is the basis for this study. In these measurements, an oscillatory behavior has been observed when wind speed was high.