In this paper fractional order averaged model for DC/DC Buck converter in continues condition mode (CCM) operation is established. DC/DC Buck converter is one of the main components in the wind turbine system which is used in this research. Due to some practical restriction there weren’t exist input voltage and duty cycle of converter therefor whole of the wind system was simulated in Matlab/Simulink and gathered data is used in proposed method based on trial and error in order to find the fractional order of converter. There is an obvious relationship between controller performance and mathematical model. More accurate model leads us to better controller.