Wind energy conversion systems have become mature and competitive with conventional and other renewable energy sources. Electric generators, power converters, and control systems ensure safe, efficient, reliable, and high-performance operation for wind energy systems, while meeting the strict grid codes. This book chapter presents power conversion systems and predictive control strategies for permanent magnet synchronous generator, squirrel cage induction generator, and doubly-fed induction generator-based wind energy conversion systems. Various forms of predictive control techniques including predictive current control, predictive torque control, and predictive power control are discussed with case studies. The discrete-time models of overall system are presented in terms of power converter switching states. The predictive control strategies fulfill the control requirements such as maximum power point tracking, regulation of DC-link voltage, grid synchronization, generation of reactive power to a three-phase grid, and fault-ride through operation. The intuitiveness of material presented in this book chapter allows readers extending the predictive control strategies for other power conversion applications.