This paper presents a general model for representing variable-speed wind turbines in power system dynamics simulations. The model is designed to integrate into power system simulation software, such as PSS/E, to study the impact of wind turbines on power system behavior. The model covers two primary concepts: a doubly fed induction generator with a back-to-back voltage source converter and a direct drive synchronous generator coupled through a diode rectifier and voltage source converter. The model aims to be detailed enough to capture the behavior in the frequency range of interest while being parameter-efficient and compatible with standard simulation time steps. The paper discusses the modeling approach for each subsystem, including the wind speed model, rotor, generator/converter, rotor speed controller, pitch angle controller, voltage controller, and protection system. Practical values for parameters are provided, and the model is integrated into PSS/E. Simulation results are presented and compared with measurements, showing good agreement in terms of output power fluctuations, rotor speed, pitch angle, and terminal voltage. The model's accuracy and usability are validated through these comparisons, demonstrating that the simplifications and assumptions made in the modeling process have limited consequences.This paper presents a general model for representing variable-speed wind turbines in power system dynamics simulations. The model is designed to integrate into power system simulation software, such as PSS/E, to study the impact of wind turbines on power system behavior. The model covers two primary concepts: a doubly fed induction generator with a back-to-back voltage source converter and a direct drive synchronous generator coupled through a diode rectifier and voltage source converter. The model aims to be detailed enough to capture the behavior in the frequency range of interest while being parameter-efficient and compatible with standard simulation time steps. The paper discusses the modeling approach for each subsystem, including the wind speed model, rotor, generator/converter, rotor speed controller, pitch angle controller, voltage controller, and protection system. Practical values for parameters are provided, and the model is integrated into PSS/E. Simulation results are presented and compared with measurements, showing good agreement in terms of output power fluctuations, rotor speed, pitch angle, and terminal voltage. The model's accuracy and usability are validated through these comparisons, demonstrating that the simplifications and assumptions made in the modeling process have limited consequences.