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This paper considers the impact of increasingly large numbers of wind turbine generators on the stability of power grid networks. Most modern wind turbines do not have conventional grid coupled synchronous generators, as is the case with most other technologies for electrical power generation. Instead, squirrel cage induction generators are used, or generators that are grid coupled with power electronic converters. Consequently, wind turbines interact with the power system in a way that differs from conventional generators. In the paper, the interaction between wind turbines and the power system is investigated using simulations of a widely used representative dynamics test system in which a high wind power penetration is assumed. It is concluded that the impact of wind power on power system transient stability varies much when either constant or variable speed wind turbines are used.